A Selected Bibliography of Publications by, and about, Benoˆıt ...
A Selected Bibliography of Publications by, and about, Benoˆıt ...
A Selected Bibliography of Publications by, and about, Benoˆıt ...
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A <strong>Selected</strong> <strong>Bibliography</strong> <strong>of</strong> <strong>Publications</strong> <strong>by</strong>, <strong>and</strong><br />
<strong>about</strong>, Benoît M<strong>and</strong>elbrot<br />
Nelson H. F. Beebe<br />
University <strong>of</strong> Utah<br />
Department <strong>of</strong> Mathematics, 110 LCB<br />
155 S 1400 E RM 233<br />
Salt Lake City, UT 84112-0090<br />
USA<br />
Tel: +1 801 581 5254<br />
FAX: +1 801 581 4148<br />
E-mail: beebe@math.utah.edu, beebe@acm.org,<br />
beebe@computer.org (Internet)<br />
WWW URL: http://www.math.utah.edu/~beebe/<br />
15 November 2012<br />
Version 1.04<br />
Title word cross-reference<br />
(2 + 1) [Zha09].<br />
1/f [Bak00, VC75, VC78, Vos79, Gar78, Man67a, Man99b, Man02d].<br />
$14.00 [Man61e]. $14.95 [Kir79, Sto79].<br />
2 [Man85d, Mar04, NCS04, OdlCA02]. 2 + 1 [Mac08]. 20 [FMS96]. 3 [Bou09b,<br />
Car96, CB97, Gin02, HSK89, HD91, HKHP11, Maj98, Mar10, Nor82].<br />
$3.00 [Man60c]. 3x + 1 [XX07]. $5.00 [GM61, Man60e, Man60e, Man60b].<br />
5/3+B [Man76b]. $6.75 [Man60d]. $8.75 [Man62a]. 80 [FMS96].<br />
[0, 1] [BJM10b]. C [CZ98]. ɛ [Pic86]. exp(−αζ + Z/ζ − Z) − 1 = 0 [YHHS93].<br />
f(α) [Man89b, Man90b]. ≫ [CB59]. H [Man69]. J [CZ98]. k [AS92, STI99].<br />
L [AO97, AO01, OdlCA02, Bra94]. λ [Man80]. ≪ [CB59].<br />
M [Car99a, CZ98, Man83c, Man85a, Man85b, Man85d, Old01]. µ [Man83c].<br />
n [Cha11]. n 2 [Man85a]. Qα(R n ) [Yue10]. R [Man85b].<br />
R/S [MW69c, Man72b, MT79, Man02d]. ρ [TW11]. σ [Ate93].<br />
Z [CZ98, Man80, Man83c]. z ←− zw + c (w = a + ib) [CZ98].<br />
1
z → z −n + c [Shi93]. z → λ(z +1/z) [Man84g].<br />
z → λz(1 − z) [Man80, Man85c]. z → z 2 − µ [Man83c].<br />
- [CZ98, Kur90]. -Automorphisms [Ate93].<br />
-D [CB97, Car96, HSK89, HD91, Nor82]. -dimensional [OdlCA02, Zha09].<br />
-gram [Cha11]. -martingales [BJM10b]. -regular [AS92].<br />
-set [Car99a, Man85a, Man85b, Man85d, Old01]. -spectra [Man69].<br />
-system [Bra94].<br />
0-7546-3933-9 [Pic07]. 0-902205-58-7 [Fri04].<br />
1 [Man01d]. 10 [CHR54]. 11th [CMR06]. 150 [GM61]. 1960 [Man61a].<br />
1974/75 [Man76]. 1980 [AGP81]. 1983. [SMR84]. 1985 [PT86].<br />
1989 [AF90]. 1992 [KK93]. 1993 [Ano93b]. 1995 [EPV96].<br />
2002 [LvF04a, LvF04b, Man02c]. 2003 [ACM03]. 2005 [CMR06].<br />
2010 [And11]. 20th [Man02b]. 2nd [Man62a].<br />
3 [Kur90, Voj89]. 3-7643-1771-X [Kur90, Voj89]. 3.1 [Lar90]. 31 [Man76].<br />
3D [Hug98].<br />
40 [BCM92]. 41 [Man73d]. 44th [IEE03]. 459 [Man62a].<br />
65th [AF90]. 6th [DLM99].<br />
75 [Bri85].<br />
’89 [RW89].<br />
9-10 [CHR54]. ’92 [KK93]. ’96 [BDLS96].<br />
= [M + 85].<br />
A. [Man55b, Man61a]. Abb [Sto79, Voj89]. Able [Man10b].<br />
aboard [Ano89b, Dew89]. abstracts [GMA + 98, LMP85, MP84].<br />
abuse [Old01]. acceleration [SH96]. Accelerator [Chu11, Chu12].<br />
accelerators [Mar10]. According [Man61c]. ACM [ACM03].<br />
acquisition [EW96]. across [Man01a]. activities [PJS99].<br />
Activity [GM64, BBM79].<br />
Adaptation [Man51a, Man51b, Man51a, Man51b]. Adaptive [LLP96].<br />
additifs [Man60g, Man62e].<br />
Additive [yWjCnG07, Man60g, Man62e, XRZ09]. addresses [KLPS06].<br />
Administration [PR84b]. Advanced [BBBH92].<br />
Advances [FpDS99, DLM99]. advancing [DDH10]. Adventurers [Gar88b].<br />
2
Aeolian [Pic94]. aesthetic [SCNT03].<br />
Affine [CD93b, LVEB09, NR95, BV11, Bou09a, Bra94, DV93, DHKT95,<br />
Man85g, Man86c, Man86d, Man86e, Mar04]. affinity [Man99b, Man02d].<br />
after [DK06, KNBZ12]. against [VHA05]. Age [VBM98, EHH05].<br />
aged [Ano10a]. agglomerates [CGC + 09]. aggregates [BRRK94, EMW92a,<br />
EMW92b, MP84, Man91a, ME91, NFT + 01, NCS04, Vor02].<br />
Aggregation [MKA02, KVMW95, Vor02]. Airspaces [Hel92].<br />
Albert [Lee59]. Aldershot [Pic07]. aléatoire [Man59c, Man74a, Man74b].<br />
aléatoires [KM65, Man74a, Man74b, Man75b, Man78b].<br />
algebra [Gin02, Old01]. Algorithm [All90, MH94, BCM91, BCM92, Gar88a,<br />
GAH93, GTL11, JT96a, LPZ08, PU08, Ran91, SL97, UP07, Woo94].<br />
Algorithms [Lew89, RBM96]. Allen [Man60d]. Allendoerfer [Man60d].<br />
Allometric [WBE99]. along [FPR92]. alphabetic [FM02a].<br />
Alternative [CGM96, Man96a, Man78b]. alternatives [Man95e].<br />
am [PR84b]. American [LvF04a, LvF04b, ALW + 88]. among [Est11].<br />
Amount [Man64d]. AMS [DK06]. AMS-IMS-SIAM [DK06].<br />
analog [Wes94]. analogue [SH92]. analyse [BBB + 10]. Analysis [BB99,<br />
BBBH92, CL87, Fis95, GT07, JSM06, LL97, Man59d, Man60e, Man60c,<br />
Man06c, TMJ06, VBM98, VEJA89, ADdM + 12, BM04c, BBB + 10, CGC + 09,<br />
CP98, DR99, DSB96, DdMdO + 99, EPV96, Hig11, JT96a, JTEA91, LKH97,<br />
Man67d, Man72b, MT79, Man06b, MV02, NIS + 03a, NIS + 03b, OMK + 05,<br />
RRB06, Sig96, SCC + 07, TMJ99, TKR + 97, TdRGD09, VC86, Man61g].<br />
analytic [BB79, BBM79]. analyze [Cas96]. Angeles [Hou95].<br />
Angular [MKA02]. Animated [Dev92, Man01a, SSK93, ZPSJ90].<br />
Animation [Bur02]. animées [Man01a]. Annals [Man60e].<br />
annealing [Sah93]. anniversary [ALW + 88].<br />
Annual [IEE03, LvF04a, LvF04b]. anomalies [Man86e, Man93c, Man03d].<br />
anomalou [Man90b]. Anthony [Man74e]. antialiased [HD91].<br />
antipersistent [CGM95, Man95b]. Antipodal [MS94].<br />
Anwendung [Man57a]. Anwendungsbeispielen [Kau92].<br />
anxiety [TKR + 97]. aortic [PM94]. Apollonian [Bou06].<br />
Apostel [CC58, Lee59]. Apparent [Man63d, Man01d]. appearance [DK06].<br />
appeared [Man61a]. Application [Man96b, ZWZL06, BB79, BM93, Izs06,<br />
JM96b, Kau92, Man57a, Man65d, Mas05b, Thi89, VM95, WGKS12].<br />
Applications [BBBH92, La 86, MV68, CHR54, DR99, Esp97, Fer95,<br />
GMA + 98, Jaf98, LvF04a, LvF04b, Suz91]. Applied [GM61, Jak84].<br />
apprenticeship [Man02c].<br />
Approach [Pic86, BK03, CL87, EB73, EPV95, FHD09, LKH97, MH05c,<br />
MH09, Mar04, MC02, PH91, SW92, Vla94, VM95, YJ09].<br />
approche [MH05c, MH09]. approx [Man61e].<br />
Approximant [BR78, Bar73, BR74b, Bar76].<br />
approximants [BR74a, Bar75, BB76, EB73]. approximate [BR74b].<br />
approximation [BA78, Man72a, Man75b]. Arbeiten [Man61a].<br />
Arbitraged [Man71c]. architecture [NFT + 01, PM94, YJ09].<br />
3
area [ES92, Imr06, Man75i]. Aref [Ano93a, Ano93c].<br />
arguments [RPÁM04, RPAM06]. arising [Man49, Man00].<br />
arithmetic [PH90]. Arithmetics [Ano89a]. Arrow [Man61d, Man61l].<br />
Art [Man89c, RW89, Ent89, Kel00, Man89a, Man93b, Man01a, Man02a,<br />
MM91, Rad96]. arterial [SCC + 07]. artery [SCC + 07].<br />
arthropod [MLDW85]. Arthur [Lev05]. Artificial [Imr06, DKW94a].<br />
Artist [Gin02]. artistic [Car99a, Loy91, Ye02]. Arts [Man81b, Man07].<br />
Ashgate [Pic07]. ASI [Fis95].<br />
Aspects [Man68, HWM87, LMP85, Man80, MP84, WSM88].<br />
Assessment [NIS + 03a, NIS + 03b]. Assisted [Vrs86].<br />
Associated [LVEB09, Vrs86, dACSS12]. Asymptotics [MDM02].<br />
atmospheric [KK93]. attractions [Ber86].<br />
Attractors [GOY87, Man77c, Man79b, PS88b, CM91, Ghi86, Man77a].<br />
August [KK93, RW89]. Ausstellung [PR84b]. Author [Man60e].<br />
automata [AvHP + 97, CD93b, Sah93]. Automatic [Pic94].<br />
Automaticity [AvHP + 97]. automaton [SS91]. Automorphisms [Ate93].<br />
Autumn [Loy91]. aux [DT89, Man56b, Man78b, Ste98].<br />
avalanche [GDC + 10]. Averages [GT07]. Away [Sel10]. axial [Man49].<br />
B [AF90, Ano05, Bak00, BF12b, Boy83, Bre79, Bur84, Cam96, Can84, Cha84,<br />
CC58, CB59, Dys78, Fer83, Goo78, Goo84a, Goo84b, Goo91, Hir89, How78,<br />
Ios79, Kac78, Kal03, Kil78, Kir79, Kir83, Kur90, Lan89, Man60d, Man61b,<br />
Man62a, Man74e, Man01d, Mir01, Pei10, Sch05, Spa84, Sto79, Voj89, Man60a].<br />
B. [Bri85, KNBZ12, Man62a]. backbone [GAMK81]. bacteria [Man74c].<br />
balancing [JH97]. b<strong>and</strong>s [MM08, PRÁM04]. b<strong>and</strong>width [MdF05].<br />
Barcelona [DLM99]. Barnsley [Goo91, Lan89, Lev05, Jon90a].<br />
base [G<strong>of</strong>91, Man62e, Man79a]. Based [HLTP01, BB79, CP98, Dav95,<br />
Dre01, EW96, GAH93, KPY96, LPZ08, Man57c, Man59c, Man62e, Man79a,<br />
PH91, Pum96, SL97, TQ10, TTMB96, WY96, WCH03, WW08, XX07].<br />
basée [Man57c, Man59c]. Basel [Kur90, Voj89]. Bases [VBMS96, Gil86].<br />
Basic [GFB + 10, Man86c, Van10]. Basin [GOY87, CGH02].<br />
Batrachion [Pic95]. BBC [Ano10a]. be [Man71c, Wal96]. beat [Ste88].<br />
Beating [Fla91]. Beauty [Ano87, Dew87, Gar91, Har90, PR86, LG10b].<br />
become [ALW + 88]. becomes [Man92a]. behavior [CS87, GK03, MH04a].<br />
behavioral [Man57a]. behaviors [Zha09].<br />
Behaviour [EJM91, MH08a, Gru05, MH05b]. Behind [Mag04].<br />
benefit [Zaa10].<br />
Benoît [AF90, Ano05, Bak00, Boy83, Bre79, Bur84, Cam96, Can84, Cha84,<br />
CHR54, Dev92, Dys78, FR98, Fer83, Goo78, Goo84b, Hir89, How78, Ios79,<br />
Kac78, Kal03, Kil78, Kir79, Kir83, LvF04a, LvF04b, Lee59, Lev05, Mir01,<br />
Sch05, Spa84, And11, Ano95, Ano10b, Ano10c, Ano10a, BF12a, BF12b,<br />
Baw11, Bou11, Cam00, Con10, DrKP10, Est11, Far11, Gil04, Gom10, Goo84a,<br />
Gru05, Gui87, Jaf11, Kah74, KP76, Kir11, Kur90, LG10a, Man06a, Man12,<br />
Pei10, Per10, SBvB + 12, Sel10, Shl05, Sim61, Tay11, Ten10, Val11, Voj89].<br />
4
Benoít [H<strong>of</strong>10]. benzodiazepine [TKR + 97]. berry [Man57b, SH92].<br />
Better [Adl12, BS88, KRP + 91]. Between [Man03c, BBB + 10, BL93, CZ98,<br />
EG94, Man67a, Man84b, MH05a, MH08b, Orl76]. beyond [Man04a, Sch05].<br />
Biaccessible [Zak06]. Bibl [CB59]. Bibliometric [Fai69, Fai05].<br />
Bifurcation [Pic87, Pro97]. Bifurcations [Bur02].<br />
Bilder [M + 85, PR84a, PR84b]. binary [Pro97, Sen90, YM94].<br />
binding [TKR + 97]. binomial [MJ97]. biological [GDC + 10, Man56b].<br />
biologiques [Man56b]. Biology [Wil97]. biomorphs [OdlCA02].<br />
Biophysical [PR84b]. Biophysikalische [PR84b]. bird [HRO02].<br />
Birkhäuser [Kur90, Voj89]. birth [Man74c].<br />
birth-<strong>and</strong>-mutation [Man74c]. birthday [AF90, Shl05]. bisection [Ran91].<br />
bit [Slo94]. Bivariational [BB76, BR76, BR77, RB79]. black [FHD09].<br />
block [GAH93, KM11, KPY96, Liu95a]. block-coding [GAH93].<br />
blood [SCC + 07]. Bochner [Man60e]. body [HRO02, MLDW85, Suz91].<br />
Boltzmann [BC80, NCS04, Man61c]. Bombay [VBMS96].<br />
Book [Ano93a, Bak00, Bri85, Fri04, GM61, Goo84a, Gru05, Kir79, Kir83,<br />
Kur90, Liu06, Man60e, Man60a, Man60b, Man60c, Man60d, Man61c, Man61b,<br />
Man61d, Man61e, Man61a, Man62a, Man63a, Pic07, Sto79, Voj89, Ano91].<br />
Bose [Mas05a]. Boston [RW89, Voj89]. bottom [EJM91]. boucle [Man78b].<br />
Boundaries [GOY87, ADdM + 12, Bis95, CGH02, DdMdO + 99].<br />
Boundary [BR76, BH89, Shi98, AST07, Man85b, Man85d].<br />
Boundary-Value [BR76]. Bounded [GKL03].<br />
Bounding [BT81, Bou85, Bar73].<br />
Bounds [BR76, BR78, BR74b, BR75, BB76, Bar76, BR77, RB79].<br />
box [CP98, FHD09, FpDS99]. box-counting [CP98, FpDS99].<br />
Bradford [Fai69, Fai05]. Braid [dLKHS06].<br />
brain [HKS + 05, HTHE05, RPS + 06]. Branched [Fle97].<br />
Branching [HKE01, YMK94]. breakdown [Lan97]. breaking [VJ06].<br />
Breaks [MB94]. Bremen [AGP81]. bridge [Man67a]. Brief [Mit03, Vos79].<br />
Britain [Man67b]. Broken [Man72a]. brown [Gar78]. Brownian [BB99,<br />
CGM95, CGM96, MV68, Man75b, Man82b, Man95b, Man96a].<br />
brownien [Man75b]. Buchbesprechung [Ano05]. Bud [CZ98].<br />
Bud-sequence [CZ98]. buffalo [Fin89]. building [PR84b].<br />
Bureau [SMR84].<br />
C [Dev92, Lev05, Man60d, Roo10, Esp97, Man04a]. C/C [Esp97].<br />
CA [ACM03, LvF04a, LvF04b]. Cache [VMH + 83, Thi88, Thi89].<br />
cache-miss [Thi88]. Calculations [Pic86]. Calculator [For04].<br />
Called [Ano87, Dew87]. Cambridge [Fri04, IEE03, Man60a, Man60c].<br />
Can [Ewi95, Man71c]. cancer [TdRGD09].<br />
Canonical [Man74e, Man56d, Man59c]. canoniques [Man59c].<br />
Canopy [MF99]. Cantor [Man82c, YJ09]. capabilities [Esp97].<br />
Capacity [Man61a]. Card [Sch90]. cardiovascular [NIS + 03a, NIS + 03b].<br />
Carlo [Pic86]. Carpets [BB99]. carrier [Man74d]. cartoons [Man05b].<br />
5
Carus [Man60c]. cas [Man75b]. Cascades [LR00, BJM10a, Man74d].<br />
Case [CGMST95, Man75b, VHA05]. Cat [HKE01]. Catalog [RW89].<br />
catalyst [MP84]. catchments [KFN00]. categories [Man56c].<br />
cauliflowers [RPÁM04]. cavities [DdCVR03]. Cayley [PSvH84].<br />
CBF [HTHE05, OMK + 05]. CBV [EHH05]. celebrates [ALW + 88].<br />
céleste [Man75e]. celestial [Man75e]. Cell [Ald07]. cellar [Cia88a].<br />
cells [TdRGD09]. cellular [AvHP + 97, Sah93]. center [BA78].<br />
century [Man02b]. Ceramic [Sch89].<br />
Cerebral [HLTP01, TKR + 97, SCC + 07]. Certain [Man63e, Man63f, Man72c,<br />
BM99, Gar88a, Man62e, Man64b, Man85e]. certaines [KP76].<br />
certains [Man62e]. Chadwick [Man60a]. chain [LO96]. Chains [Man60b].<br />
Challenge [Man03c]. Chance [Bre79, Dys78, Goo78, Ios79, Kac78, Kil78,<br />
Man70c, MA79, Sto79, Kir79, Man64b, Man73a, Man75d, Man77b, Man84e,<br />
Man89d, Man98c, Man09a, Man10c, Man75c]. Ch<strong>and</strong>ler [MM70].<br />
Change [How78]. changements [Man66d]. changes [Man66d].<br />
Chaos [Ano93a, Ano93c, Are93, BGR94, BJM + 88, CFPS86, Gin02, GOY87,<br />
Hir89, Jon90a, M + 85, Mir90, OdlCA02, PR84a, PJS92a, PJS92b, PJS92d,<br />
PJS93, PJS04a, PJS04b, Pic87, Sch05, Swe91, Ano91, Dev90, EG94, LK98,<br />
Man84g, Man86a, Man04a, PH90, SBvB + 12, Ste98, TE92, Abb95, Nat91].<br />
Chaotic [BD86, Mac08, PRÁM04, BF95, GM88]. character [MPP84].<br />
Characterization [Vos86, LSL86, NDS85]. characterizations [BB79].<br />
Characterizing [Dys78]. charge [FBVdlN99]. Charles [Pic07].<br />
CHD [Hig11]. Chelsea [Man62a]. chemical [DL87]. Chemie [PR84b].<br />
Chemistry [PR84b, KFN00, Ano93b]. chiffrées [Man67c]. choice [Ye02].<br />
Christos [Win05]. Ciarcia [Cia88a]. Cie [Man61e].<br />
circle [Car99b, FC00, Man72d]. circuit [Cia88a]. Circuits [BM63].<br />
citations [Van90]. clamped [Ska99]. Clark [Man73d]. Clarke [Lev05].<br />
Class [BR78, Sim55, BC80, CGM95, HJ94, Man59d, Man61g, Man65d,<br />
Man89b, Man95b]. classe [Man65d]. classical [Bau96]. classify [Cas96].<br />
Classroom [Abb95, FL91, Nat91, PJS92d, PJS92e, PJS91, PJS99].<br />
clay [VOL + 86]. clef [Man75c]. climatologique [Man65d].<br />
Clinical [HLTP01, Mai90]. cloistered [Bai97]. closeness [AK10].<br />
cloud [DLS93]. Clouds [MSLG00, Man10b, SSK93]. clus [Man65c].<br />
cluster [FBVdlN99, GTL11, UH96, Vor02]. cluster-cluster [Vor02].<br />
Clustering [BM63, DM73, Ham95]. Clusters [HASM96, AAM + 03, GM84b,<br />
Man77d, Man83a, Man84d, MG84, ME90, MS94, YMK94].<br />
Co [Bri85, Kir79, Kir83, Van90]. co-citations [Van90]. Coast [Man67b].<br />
coastlines [Man75i]. Codebook [Ham95, Kom95, HS93, Sig96].<br />
Codes [Sta96]. Coding [Ano89a, GAH93, Hür93, HS93, Hür95, KM11,<br />
LKH97, Liu95a, Man55a, RBM96, Slo94, TTMB96, WY96, WW08, ZZZ + 96].<br />
coefficients [CD93a]. cognitive [OMK + 05]. coherent [Mac08, Man84a].<br />
collaborative [Bou09b]. collage [DHKT95]. Collapse [TSS85].<br />
Collection [GM61]. College [Man02c]. Colliers [Man78b].<br />
Colloids [Rar89]. Colonies [Ric94]. color [CCC00].<br />
6
Colours [Cla10a, LG10c, Lev05, LG10b]. Combination [Van10].<br />
Combinatorial [VEJA89]. Comment [GM84a, Man61f, Man68, Man71b,<br />
Man82a, Man84a, Man84b, Man01d]. Comments [Man73d].<br />
Communication [CHR54, Man53a, Man54b, Wu99].<br />
communications [Man52a, Man54a, Man54c, Man65c]. compact [Man92a].<br />
Company [Sto79]. comparative [TPVG06]. Comparison [EW96, FSR94].<br />
complete [Bra94]. completeness [STI99].<br />
Complex [Abb95, Adl12, DK06, Nat91, PJS92e, BB76, BJM10a, BJM10b,<br />
BSV92, Car96, CD93b, Dew85a, DM92, Eng93, Ent89, Gil86, G<strong>of</strong>91, Man80,<br />
Man83c, Man85c, M + 85, PR84b, DK06].<br />
Complexity [Gar91, Har90, Man06c, Man06b].<br />
Components [GF95, Man85e]. comportement [CHR54].<br />
composing [XRZ09]. Comprehensible [SO93]. Compress [BS88].<br />
Compression [Fis92, MFCM96, BE95a, BE95b, CK96, CD93a, Dav96,<br />
DV93, EW96, Ham95, HMS96a, HMS96b, JT96a, JM96a, KKL95, Kom95,<br />
KPY96, LV96, LLP96, PH91, SR96, Sau96a, SH96, Sau96b, Sig96, UH96,<br />
WCH03, Woo94, WM94, Wu99, ZY94]. computable [Her05].<br />
Computation [DAB99, BL93, BCM91, BCM92, CCRR91, MdF05, Sau87].<br />
Computational [TdRGD09]. Computer [Dew85a, Dew85b, Dew87, Dew89,<br />
IEE03, MW69b, Man82a, PH90, Rad96, RW89, VEJA89, Vrs86, CCRR91,<br />
Gar88a, HCF95, JTEA91, Kok94, M + 85, Roj91, Thi89].<br />
computer-generated [JTEA91]. computers [Wai88].<br />
Computing [ACM03, MC02, PU08, RAA + 08, UP07].<br />
Concentration [MG98, Mir01, Man97b]. concept [Man65c].<br />
Conceptional [VBM98]. concepts [Smi91]. concerning [Man72e].<br />
condition [Sta96]. conditional [Man65c, Man67d, Man75a].<br />
conditions [AST07]. Conference [CMR06, DK06, GMA + 98, IEE95,<br />
VBMS96, AF90, BDLS96, Ano89a]. Configuration [GT07].<br />
conjecture [CZ98, Man85a, SH92, Man85d, Man85e]. connected [Wai88].<br />
connection [Orl76]. consequences [DSS90]. conservation [CJK11, Dro10].<br />
constant [Man67c]. constantes [Man67c]. constrained [Izs06].<br />
construct [Nar07]. Constructing [Cha11].<br />
Construction [Bou09a, DHN85, BM93]. constructions [Man84h].<br />
Constructive [BB79]. contact [BBB + 03]. Contacting [MF99].<br />
contaminant [KFN00]. content [Man95e]. contes [Man75c].<br />
Context [DKW94b, RW89]. continental [DSS90]. Continued [Rat93].<br />
Continuous [GT07, Man97a, WGKS12, RM97, Man85c].<br />
Continuous-time [WGKS12]. continuum [Sah93]. Contractivity [Hür93].<br />
Contribution [Man52a, Man53a, Man52a, Man53a].<br />
Contributions [Man63a, Man61b]. control [MC02].<br />
convection [DdCVR03]. Convergence [BJM10a, BJM10b, Ska99].<br />
Convex [DM92]. convolution [SH96]. copper [BB84]. copulas [dACSS12].<br />
cordonnets [Man78b]. cords [Man78b]. Corneal [KNBZ12].<br />
corner [YHHS93]. corrected [PJS93].<br />
7
Correction [Bar75, Man72c, BB76, Man55b].<br />
Corrections [Man54a, Man54a].<br />
correlation [CCRR91, EG94, HKS + 05, MT79, MV02, WWGF05].<br />
Corrélations [Man79a, Man75e, MS94, Man75e, Man79a].<br />
Corrigendum [BCM92, Man76]. cortex [HWEH05]. cosas [FR98].<br />
cosine [FSR94, ZY94]. cosmic [Ohn90]. cosmic-ray [Ohn90].<br />
cosmographic [Man75a]. Cosmological [LS92]. cosmos [PR84a].<br />
cost [Wu99]. could [Wal96]. Coulton [Sel10]. counting [CP98, FpDS99].<br />
coupled [IKP01]. Cours [Lef82]. course [LK98]. Cousins [Ano87, Dew87].<br />
covariance [Man72b]. covered [Man93a, SAM93]. coverings [Man72d].<br />
CQUATS [Gin02]. cracks [TM86]. Craig [Man60d]. Creates [PJS04b].<br />
creation [Van09].<br />
Critical [GMA80, AGMK81, AAM + 03, FR92, MS94, Man03d].<br />
critique [Man59d, Man61g]. crying [Pic95]. CUG305 [Sch90].<br />
cultural [ABC + 94]. culture [Man74c]. Curacao [EPV96].<br />
current [KK93, Man67a, Man91a].<br />
Curves [PB89, PS88b, AO97, BGR94, BSV92, Dek12, Gar78, Nar07, ODA03].<br />
Cut [Gai06]. Cut-out [Gai06]. cutouts [Man72f]. cybernetics [Man57a].<br />
cybernétique [CHR54]. Cycles [Man66d, Man72b, Man73b].<br />
cycling [Ald07]. Cylindrical [CGMST95, BM02].<br />
D [Abb95, CB97, Dev92, Maj98, Man62a, Mar10, Nat91, PR84a, Bou09b,<br />
Car96, Gin02, HSK89, HD91, HKHP11, Mar04, NCS04, Nor82].<br />
Damage [Man64d].<br />
dans [CHR54, Man56b, Man59b, Man67f, Man73a, Man79a].<br />
Darkest [Ano90]. Data [VBMS96, Bur81, CD93a, DKW94a, HKS + 05,<br />
KPY96, TPVG06, Win05, WWGF05, Woo94, vW91]. David [Lev05].<br />
DC [IEE95]. DCT [FSR94]. decay [Bra94]. decipherability [Man65b].<br />
Decipherment [Man60a]. Decision [Man61h, Man61k]. decoder [KKL95].<br />
decomposable [Man75e, Man75e]. Decomposition [Man74e].<br />
deduction [Man75e, Man75e]. Defined [Kaj83a, Kaj83b, Man89g].<br />
Definition [Man57a, Mil86, Man76c, CHR54]. degeneracy [BM04c].<br />
degree [DM73]. degrees [MF09]. Della [Man60h].<br />
demons [Man52b, Man52b]. dendritic [BRRK94, NFT + 01].<br />
Density [CM91]. d’Entretien [Lef82].<br />
Dependence [Man03c, MW69c, Man70b, Man01b, RVA00].<br />
Dependent [DKW94b, Man75f, GH98, Man76, Man75g].<br />
d’ Épistémologie [CB59]. deposition [Fle97]. Derivation [Man64c].<br />
derived [Gil86, Man72a].<br />
Description [Fai69, Fai05, Man59b, BSV92, KCC89]. descriptions [Mor96].<br />
design [ODA03]. d’espèces [Man56b]. Detecting [WCH03].<br />
Determination [AO01]. determines [PM94].<br />
determining [DR99, Gar88a]. Deterministic [PJS04b, HSK89].<br />
Deutscher [Man61a]. deux [Man54a, Man54c].<br />
8
Devaney [Ano93a, Ano93c, Goo91, Lan89, Are93, Hal96, Swe91].<br />
Development [Esp97]. Deviations [MKA02]. Diagnosis [OMK + 05].<br />
Diagram [Ano93a, Ano93c, Are93, Dev91, Swe91, Dev90]. did [Had88].<br />
Diego [ACM03, LvF04a, LvF04b]. Dies [H<strong>of</strong>10, Ano10b, Ano10a, Ano10d].<br />
Dietmar [Goo91, Lan89]. Dieu [Ste98]. difference [Bar76, DL92].<br />
Differences [MT67]. different [BP84]. differential [BB79, CT91].<br />
Diffusion [GM83, MKA02, EMW92a, EMW92b, KVMW95, VCM + 11].<br />
Diffusion-Limited [MKA02, EMW92a, EMW92b, KVMW95].<br />
diffusions [Man84d]. Digital [DKW94b, BM93, KM11]. digitalized [Imr06].<br />
Dimargaris [ME72].<br />
Dimension [Hel92, Man67b, Man79b, MA79, Pic86, Shi98, VBM98, WBE99,<br />
ADdM + 12, BM04c, BM97, Cah89, Cas96, CCRR91, DdMdO + 99, EG94,<br />
FpDS99, Gar88a, Ghi86, Gil86, GBR + 09, GFB + 10, Imr06, MJ86, Man74d,<br />
Man75a, Man75h, Man75d, Man75i, Man76a, Man76b, Man77b, Man77d,<br />
Man84c, Man84e, Man85b, Man85d, Man85g, Man86e, Man89b, Man89d,<br />
Man90c, Man98c, Man08, Man10c, MLDW85, NM09, ODA03, PU08, Sau87,<br />
Thi88, Thi89, TdRGD09, UP07, Van90, Vor02, WWGF05, Man76a, Man08,<br />
Sto79, Bre79, Dys78, Goo78, How78, Ios79, Kac78, Kil78, Kir79].<br />
dimensional [AvHP + 97, GMAK84, OdlCA02, VJ06, Zha09].<br />
dimensionality [GMMA83, Man84b, Man84d].<br />
Dimensions [Man91c, MKA02, AO01, Bur81, DSB96, Gué01, Mac08,<br />
Man86a, Man86c, Man86d, Man90a, Man95a, Man03d, MF09].<br />
d’information [Man51a, Man52c]. Diophantine [BBM79].<br />
direct [Man67a, VM95]. Directed [MV89]. dirt [Zaa10].<br />
discontinuité [Man73c]. Discontinuity [MG98, Mir01, Man97b].<br />
Discontinuous [MR97, CJK11, RM98]. discours [Man67c].<br />
discourse [Man61i, Man70a]. discover [Had88]. Discovering [For04].<br />
discrete [FSR94, Man78b, Man79a, Man85c, Ska99, ZY94].<br />
discrets [Man78b]. discs [Man82d, Man83d, Man85f].<br />
Discussion [Dev92, Fis92, Man79b, MB89, ZPSJ90, Man70a].<br />
Disequilibrium [FSD89]. Disorder [Man06c, Man06b, TKR + 97, VM95].<br />
Disordered [Pen88, HWM87, WSM88, dVdRL93].<br />
dispersion [Man76a, Man77a, Man77c]. Dispersional [VBM98].<br />
display [FP89, Nor82]. displays [Fin89]. dissipation [CDP07, Man72e].<br />
dissolution [DL87]. distance [BL93, BCM91, BCM92].<br />
Distinction [Man81b, Man03c, Man07]. distinguishing [TE92].<br />
distortion [GKL03, WM94]. distributed [JT96a].<br />
Distribution [FMS96, Hou95, Man63d, MT67, Sim55, BZ96, Man56b,<br />
Man59d, Man60f, Man61g, Man72e, Man88, ME90, MLDW85, Orl76, TKR + 97].<br />
Distributions [Fai69, Fai05, Man62b, Mit03, DrKP10, Izs06, Man74a,<br />
Man74b, Man74c, Man03d, Man09c, Mas05a, Rac03]. distributive [Gin02].<br />
divergence [Man74d]. divisibilité [Man59c]. divisibility [Man59c].<br />
division [Ald07]. DLA [Man90b, Man92a, Man92b, YMK94]. DNA [Fin89].<br />
do [MB89]. Documentation [Fai69, Fai05]. Does [MB89].<br />
9
domain [Sau96b, Man85f]. Domain-filling [Man85f]. domains [AST07].<br />
Dopant [EKKR06]. Douady [RP ÁM04]. double [AvHP+ 97].<br />
down [Man99a]. Dr [Man61f]. Dragon [WGKS12]. Drawing [RAA + 08].<br />
drip [JSM06, TMJ99, TMJ06]. driven [GTL11]. Drivers [MH94].<br />
Drum [Fla91, Ste88]. Dual [BR74a]. Due [MB94, Man61g].<br />
Dugas [Man61c]. d’un [Man56a]. d’une [Gui87, Man52c].<br />
d’univers [Man75e, Man79a]. duration [Man52c]. durée [Man52c].<br />
Dürer [Jon90a]. during [HTHE05]. dusts [BM97]. Dutch [Man61e].<br />
Dvoretzky [Man72d]. Dynamic [Dav90, Man93c, VM95].<br />
Dynamical [NYO94, ADdM + 12, DdMdO + 99, MC02, PR84a, PR84b, Sir97].<br />
Dynamically [SO93].<br />
Dynamics [BD86, GOY87, Orb86, Bai97, DK06, EHH05, GV89, dLKHS06,<br />
Man84g, Man85a, Man85b, Man85d, Man85e, Man85f, Man85c, M + 85, XX07].<br />
dynamischer [PR84a, PR84b].<br />
Each [Man84c]. Early [WT10, Man86a]. earth [Man02d, Man75i, WT10].<br />
Earthquakes [Hou95, MB94]. Easy [CM99]. echoes [VM98]. Eco [Fin89].<br />
ecological [WY92]. Econometrica [Man73d]. Economic [Mir90].<br />
Economics [Man63b, Man63c, Man09c, Man64a]. ectasia [KNBZ12].<br />
ed [Man61h, Man62a]. edition [Man60e, Gar91, Har90].<br />
Editorial [CMBL77]. Editors [Man63a]. editorship [Man60d].<br />
eds [Man61b, Man61d, Pic07]. education [FM02b, MF02, Kal03].<br />
Edward [Dev92]. Effect [EKKR06, FBVdlN99]. effective [JH97].<br />
effectiveness [MF02]. Effects [NFT + 01].<br />
Efficient [CCRR91, CD93a, HD91, Sau87, Roj91]. Efficiently [Man71c].<br />
eigendimensional [MGAP85]. eigenfunction [Man82b].<br />
eigenmode [SL97]. eigenvalue [BV11]. eightieth [Shl05].<br />
Einführung [Kau92]. Einstein [GM83, Mas05a]. EKG [DR99].<br />
electrochemical [Fle97]. electrodeposits [BB84]. electronic [IKP01].<br />
electrostatic [Man91a]. element [ZWZL06]. Elevation [DKW94b, BM93].<br />
Ellipsoids [Bou85]. elliptic [BGR94, BB79]. embed [Esp97].<br />
embeddings [GKL03]. Embryological [Mai90].<br />
Empirical [Fai69, Fai05, DrKP10, Man62e, Man85a]. empiriques [Man62e].<br />
emptiness [MF09]. Encoding [Fis95, PJS92c, COK96, TQ10].<br />
encryption [JT96b]. end [FHD09]. end-to-end [FHD09].<br />
énergie [Man56a, Man59c]. Energy [CDP07, BA78, HKHP11, Man56a,<br />
Man59c, Man72e, VM95, dSVTM99]. energy-minimizing [HKHP11].<br />
engineer [Man57a]. English [DM73]. enhance [SSK93].<br />
enhanced [HMS96b]. Enhancing [BE95a, HMS96a].<br />
Ensembles [KM65, Man56d, Man59c, Man79a]. entre [BBB + 10].<br />
Entropid [Man61a]. entropies [MV02]. entropy [MV02, Man61a].<br />
Envelope [MdF05]. environmental [Bur81]. Ephremides [Man74e].<br />
épistémologie [Man67f]. epistemology [Man64b]. equal [Man85d].<br />
equation [AST07, BC80, Liu95b, Man01c, Gui87]. equations [AGP81,<br />
10
BR74b, BB79, CT91, DL92, DT91, DM92, Liu95a, Mac08, RB79].<br />
équilibre [Man56a]. equilibrium [Fle97, Man56a, PM94, dSVTM99].<br />
Equipment [Gar88b]. equivalence [Man84b, Mor96, Mor96].<br />
equivalences [AO97]. equivalent [AO01, MdF05]. equivariant [CCC00].<br />
Ergodic [Jor12]. Eroded [MKM89]. Erratic [Man70c].<br />
Erratum [EMW92a]. erreurs [Man55b].<br />
Error [BM63, Man71b, Man72c, LKH97, Man65c]. errors [Man55b].<br />
Escape [Bur02, NG03]. Escher [Roo10]. especially [Man89e].<br />
essay [Man93e]. Essays [Man61b, Pic07, AF90, Ano91].<br />
Estimated [VBM98]. estimates [Set92]. estimating [GBR + 09, GFB + 10].<br />
Estimation [GMV09, Man62c, FpDS99, Izs06, Man56a, RVA00, TPVG06,<br />
WWGF05]. estimator [KK90]. Estonia [KK93].<br />
Études [CB59, Man54a, Man54c]. Euclid [Cam00]. Euclidean [GV89].<br />
European [BDLS96, DLM99]. EuroPVM [BDLS96]. Evaluating [Bou09b].<br />
evaluation [Hür95]. Evaporate [Man89f]. event [GTL11].<br />
event-driven [GTL11]. events [WGKS12]. everything [Shl05].<br />
Everywhere [Bar88a, Bar93b]. evidence [Man62e]. evolution [ODA03].<br />
Evolutionary [SR96]. Evolving [NG95]. ex [MM89]. exact [Bra94, Liu95a].<br />
Exactly [MEH90]. Examination [Man89f]. examines [Ano91].<br />
example [Man03d]. examples [Bau96, Kau92, Man67d].<br />
Exceptions [RM98]. excimer [KNBZ12]. Exhaustivité [Man56a].<br />
Exhaustivity [Man56a]. Exhibition [Fri04, PR84b]. expansion [Man82b].<br />
Expansions [Man96b, JM96b]. Expeditionary [Gar88b].<br />
experience [JeJP58, JeJP58]. experiment [IKP01].<br />
Experimental [dLKHS04]. experiments [MW69b]. explained [Man03d].<br />
explanation [TW11, dVSC96]. explicit [Man83a, Man74c].<br />
exploration [Bou09b]. Explorer [Sch90].<br />
Exploring [Cla10b, Dew85b, For04, Cha11].<br />
Exponent [Man63d, DR99, Man76b]. exponents [WC06].<br />
extended [LMP85, MP84, ME91]. extension [JH97].<br />
Extensions [Liu93, Man74b]. extensive [EG94].<br />
External [RP ÁM04, RPAM06, RAA+ 08]. Extraits [CHR54].<br />
extreme [GMV09, WGKS12].<br />
F [ABC + 94, Goo91, Lan89, Man70a]. fabric [CP98]. face [M + 85].<br />
facets [Man78a]. Facial [TQ10]. Fact [Man89f]. faits [Man62e].<br />
Faloutsos [Win05]. Families [DAB99]. family [Eng93, GAMK81].<br />
Farey [Dev99, DM92]. fashions [Mad86]. Fassberg [PR84b, PR84b].<br />
Fast [COK96, HS93, KH92, KPY96, WWGF05, Man71a, RBM96, SH96, YJ09].<br />
Faster [MFCM96]. Father [Gil04, Ano10d]. faulting [DSS90]. Feat [Ano06].<br />
features [FSD89]. Feinstein [Man55b]. ferromagnetic [BBM79].<br />
festschrift [EPV96]. Fever [Ano98]. few [Man84f]. fiber [PM94].<br />
Fibonacci [Dev99]. Field [Phi92]. fields [VJ06]. Fifth [ACM03, ALW + 88].<br />
figures [Man67c, Mor96]. filling [Man85f]. Film [Cla10a, EKKR06, SSK93].<br />
11
Filming [LG10c]. Filter [BHI11]. Final [Man61g, Man61j, Sim61].<br />
Finance [MG98, Man01d, Mir01, DrKP10, Man97b, Man99c, Man99d,<br />
Man01a, Man02a, Man03a, Man04b, MH05a, Man05a, Man05b, MH08b,<br />
Man09a, Rac03]. Financial [Man10a, DDH10, Man01b, Man01c, Man01d].<br />
Finanzen [Ano05, MH05a, MH08b]. fingering [VOL + 86].<br />
Fingers [Rob85, NDS85, San85]. finite [LO96, Man73d, ZWZL06, Man60b].<br />
Fire [Man64d]. First [Man61d, Man61l]. Fisher [Goo91, Lan89].<br />
FISTE [FHD09]. fits [Sla07]. five [ALW + 88, DK06].<br />
fixed [EPV95, Man99c]. fixed-scale [EPV95]. fjords [EJM91].<br />
FL [GMA + 98]. Flake [Lev05]. flicker [Vos79]. flights [CS87, TG09].<br />
Floating [SO93]. Flock [Ano87, Dew87].<br />
Flow [Sah93, CDP07, CMP07, GMV09, Man84a, SCC + 07].<br />
flows [DdCVR03, Ghi86, MdF05]. Fluctuation [Man89g].<br />
Fluctuations [Man70c, Man10a, Gar78].<br />
Fluid [Bai97, SO93, Ghi86, Man76a, NDS85]. fluides [Man76a].<br />
Fluids [Rob85, Man84a]. fMRI [HKS + 05]. FOCS [IEE03].<br />
focusing [MT10]. fonction [DT89]. fonctionnelle [Gui87].<br />
Fonctions [Man75b, Jul18]. Footprints [Fri04]. forced [CDP07].<br />
forecasting [SSK93]. Forecasts [Man66a]. forest [Edg00].<br />
Form [Bre79, Dys78, Goo78, How78, Ios79, Kac78, Kil78, Kir79, MA79,<br />
Sto79, ZT96, EMW92a, EMW92b, Man75d, Man77b, Man84e, Man89d,<br />
Man98c, Man10c, VJ06]. Formal [Smi84, Man54a, Man54c].<br />
Formalism [Fra07, Jaf97a, Jaf97b, Man91c, Man95c, RM95, RM98].<br />
formas [FR98]. Formation [TM86, GTL11].<br />
Forme [Man75d, Man84e, Man89d, Man98c, Man10c].<br />
formelle [CHR54, Man54a, Man54c]. Formes [Man73a].<br />
Forms [Man06c, GH04, Man73a, Man06b]. Formula [Man97a, MR97, RM97].<br />
fossils [Wal96]. Foundations [IEE03]. four [DSB96, Man75c].<br />
Fourier [Man60e]. Fourth [WBE99]. Fracas [Poo90]. FracMAP [CGC + 09].<br />
Fractal [Ald07, Ano98, Ano06, Ano10a, AAM + 03, AW83, ABLM98, Bal10,<br />
Bar84, Bar88b, BEHM89, Bar93a, BB10, BL80, Ber86, Bia89, Bou85, Boy83,<br />
BB84, Bri85, Bur84, Bur81, Cah89, Cam96, Cam00, Can84, CR94, Cha84,<br />
CS87, Chu11, Chu12, CGMST95, Cla86, Cla10b, Cor90, DL87, DHN85,<br />
Dev96, Dur78, EKKR06, EHH05, Esp97, Fer83, Fin89, Fis92, Fis95, FP10,<br />
Fla91, Fro97, Gib93, Goo84a, Goo84b, Goo91, GDC + 10, GOY87, H.88, Hal96,<br />
HRO02, Hel92, HKE01, HKS + 05, HTHE05, HWEH05, Hig11, Hir94, Hou95,<br />
JSM06, Jon94, KMNW99, KFN00, Kop88, KM89b, La 86, LVEB09, Lan89,<br />
LL97, LR85, LM85, LSL86, Man75d, Man79b, Man80, Man82a, Man83b,<br />
MPP84, Man84e, Man86a, MB89, Man89d, Man91a, Man91b, Man98b,<br />
MPB + 98, Man98c, MF99, MKA02, Man03c].<br />
Fractal [Man06b, Man06c, MH08a, Man10a, Man10c, Mar99, MB94,<br />
MFCM96, MC87, MM10, MLDW85, MKM89, NWM + 06, NDS85, Orb86,<br />
PS88a, Pic86, Poo90, Ric94, Rob85, Roo10, San86, San87a, San87b, Sla07,<br />
SO93, Spa84, SC88, Ste00a, Ste10, TMJ99, TMJ06, Tsu08, VCM + 11,<br />
12
VOL + 86, Van90, VBM98, VC86, VMH + 83, WBE99, Wil97, WT10, Wu95,<br />
ZT96, AST07, AG06, AO97, AO01, Ano10d, ADdM + 12, AFP84, Bai97,<br />
BE95a, BE95b, BDM + 88, Bis95, BZ96, BM97, BF95, Bou09a, Bou06, BM93,<br />
BRRK94, BBB + 03, Cam87, Cas96, COK96, CK96, CGH02, CGC + 09, CZ98,<br />
CDP07, CMP07, CJK11, CP98, CD93a, Dav96, DSS90, DR99, Dek12,<br />
DdCVR03, DV93, DT91, Dro10, DdMdO + 99, Dub89, DT89, Edg00, EG94,<br />
EPV95, EW96, Fal85, FBVdlN99, FR98, Fer95, FSR94].<br />
fractal [Fle97, FpDS99, FV95, FP89, FSD89, FC00, Gai06, Gar78, GMA80,<br />
GAMK81, GMMA83, GAH93, Ghi86, Gil86, GK03, GM83, GM84a, G<strong>of</strong>91,<br />
GV89, GTL11, Gon98, GBR + 09, GFB + 10, GH98, Gué01, Ham95, HMS96a,<br />
HMS96b, Hug98, Hür93, HS93, Hür95, Imr06, JT96a, JM96a, Jaf98, Jak84,<br />
JTEA91, Jor12, KNBZ12, KCC89, Kel00, KM11, KKL95, Kir83, Kom95,<br />
KV ˇ Z ˇ Z08, KPY96, Lan97, Lap08, LKH97, LPZ08, LV96, Liu93, Liu95a,<br />
Liu95b, LLP96, Loy91, LO96, MSW08, MJ86, Mac08, Mad86, Mad87, Mai90,<br />
Man75h, Man75i, Man76b, Man78b, Man78c, Man82e, Man82c, Man83a,<br />
Man83c, Man84a, Man84c, Man84f, Man84d, MG84, Man84h, Man85b,<br />
Man85d, Man85f, Man85g, Man86c, Man86d, Man86e, MV89, Man90a, ME90,<br />
Man90c, ME91, Man92a]. fractal [MS94, Man95d, Man95e, Man97c, Man00,<br />
Man01a, Man02a, MH04a, MH04b, Man04b, MH05c, Man05a, MH05b,<br />
Man05b, MH09, Mei92, MC02, Mil88, MM91, NFT + 01, NYO94, Nar07,<br />
NIS + 03a, NIS + 03b, NM09, NCS04, Ohn90, OMK + 05, OdlCA02, ODA03,<br />
PU08, PC06, Pe04, PH91, PM94, Pic95, Pum96, Rar89, RBM96, RPS + 06,<br />
SSK93, San85, Sau87, SR96, Sau96a, SH96, Sau96b, Sch87, Set92, Sig96,<br />
Sir97, Ska99, SH92, Slo94, SCC + 07, SS00, SS91, Ste88, Ste00b, Suz91, TQ10,<br />
TG09, TM86, Thi88, Thi89, TKR + 97, TdRGD09, TTMB96, TE92, TSS85,<br />
UP07, VJ06, Van09, Van10, Vla94, VM95, Vor02, Wai88, Wal96, WY92,<br />
WY96, WCH03, WC06, WW08, WWGF05, Woo94, WM94, Wu99, XX07,<br />
Ye02, YHHS93, YJ09, Yue10, Zaa10, ZZZ + 96, ZWZL06, dACSS12, dVSC96].<br />
fractal [dVdRL93, Esp97, EPV96, HWM87, LMP85, LvF04a, LvF04b,<br />
Man76a, Man78d, MP84, WSM88].<br />
fractal-based [EW96, GAH93, LPZ08, PH91, Pum96].<br />
Fractal-Dimension [Pic86]. fractal-forced [CDP07].<br />
fractal-imaging [Esp97]. fractal-like [CGC + 09, CD93a, Wai88].<br />
fractal-shaped [DT91]. fractal/wavelet [CK96].<br />
fractale [Man76a, Man82c, MH05c, MH09]. Fractales [Man09a, DT89].<br />
fractalist [Man09b]. fractality [KRP + 91]. fractally [SL97].<br />
Fractals [Abb95, Adl12, Aha86, BD86, Bar88a, Bar93b, Caw89, FdL10,<br />
FM02b, Gro92, JPS90, LS92, Man77b, Man77a, Man77c, Man79b, MA79,<br />
Man81a, Man84d, MGAP85, Man86b, Man89c, Man89a, Man93b, Man97b,<br />
MG98, MF03, Man04a, Man09a, Mea89, Nat91, NR95, Oli91, PR86, PJS91,<br />
PJS92a, PJS92b, PJS92d, PJS92e, PJS93, PJS99, PT86, Sch89, SM89b,<br />
SMR84, Smi84, ST89, Tau98, Tay85, ZPSJ90, AGMK81, ADR01, Ano90,<br />
Ano91, Ano10b, BBB + 10, Bau96, Bou09b, Bro07, CM91, Car96, Car99a,<br />
Car99b, CB97, DL92, Dav95, Dav90, DHKT95, Dre01, Ent89, FM02a, Fra98,<br />
13
GPS92, Gar88a, GAM83, GASM84, GAM84, GH04, Gil04, GBCK93, GKL03,<br />
HSK89, HD91, HCF95, HJ94, LK98, LG10b, Ley05, Maj98, Man75d, Man78b,<br />
Man78a, Man78d, Man83d]. fractals [Man84a, Man84e, Man85g, Man89d,<br />
Man93a, Man98c, Man01e, Man02d, MF02, Man10c, Mar04, Mar10, Mur93,<br />
NG95, NG03, Nor82, Nov04, PH90, PJS04a, Pic94, Sah93, SBvB + 12, SS89,<br />
Shi93, SCNT03, SAM93, Vos86, Win05, YMK94, ZY94, Zha09, Abb95, AF90,<br />
MH05a, MH08b, Man08, Nat91, PT86, SMR84, Sto79, Abb95, Bre79, Dev92,<br />
Goo78, How78, Ios79, Kac78, Kal03, Kil78, Kir79, Mir01, Nat91, Sch05].<br />
Fractals. [Dys78].<br />
Fractional [BM09, Man67b, MV68, CGM95, CGM96, MW69b, Man71a,<br />
Man72a, Man75a, Man76c, Man77d, Man82b, Man95b, Man96a].<br />
Fractions [Rat93]. fracton [Man84b]. fracton/spectral [Man84b].<br />
Fractons [MJ86].<br />
Fracture [CMR06, Man06c, Cah89, MPP84, Man06b, TM86].<br />
Fragmentation [GV89, SS91].<br />
fraktale [Kur90, Man91b, Voj89, Ano05, MH05a, MH08b, Man08].<br />
Frame [Kal03]. France [AF90]. Francisco [Bri85, Kir83, Sto79].<br />
Franken [Man61a]. Franks [Hir89]. frauds [Wal96]. Fredholm [RB79].<br />
Free [ZT96, Man78b, WCH03]. Freeman [Bri85, Kir79, Kir83, Sto79].<br />
French [Ano10e, BBB + 10, Dev57, DT89, Fat17b, Fat17a, JeJP58, Jul18,<br />
KM65, Lef82, Man51a, Man51b, Man52a, Man52b, Man52c, Man53a, Man54a,<br />
Man54c, Man55b, Man56b, Man56a, Man57c, Man59c, Man59b, Man59e,<br />
Man59f, Man60g, Man61c, Man62e, Man65d, Man66d, Man67c, Man73a,<br />
Man73b, Man73c, Man74a, Man74b, Man75b, Man75c, Man75e, Man75d,<br />
Man76a, Man78b, Man78d, Man79a, Man82c, Man84e, Man89d, Man98c,<br />
Man01a, MH05c, MH09, Man09a, Man10c, Mor96]. frequencies [Man61i].<br />
Fresnel [KV ˇ Z ˇ Z08]. Frontiers [M + 85, PJS92a, PJS92b, PJS93, PJS04a].<br />
fronts [VCM + 11]. Function [AB85, BHI11, BL80, DHN85, Man61a,<br />
Man96b, BV11, BZ96, Bra94, JM96b, Lan97, Van09, WY96, XX07, Yue10].<br />
Functional [Rat93, Tsu08, SW92, VM95]. Functions [Bar71, BR78,<br />
BEHM89, DAB99, GT07, Jaf97a, Jaf97b, Man60e, Man61m, Sim55, Vrs86,<br />
BA78, BM04b, BM04a, Bou09a, CM99, DT89, Fra98, HKHP11, Jaf98, Jul18,<br />
Man59d, Man61e, Man61g, Man67d, Man75b, Man88, Man61e].<br />
Funktionalraümen [Man61a]. further [Val11]. futility [Sau96a].<br />
Future [Man66a, Win05]. fuzzy [CM91].<br />
G [Man60b, Man61b]. gagner [MH05c, MH09]. Gaithersburg [SMR84].<br />
galactic [Man75e]. galactiques [Man75e]. galaxy [Man77d, MC87].<br />
Galerkin [CJK11]. Game [Jon90a, PJS04b].<br />
Games [Sch90, Gar78, Man53a, Man54b]. Gap [HASM96].<br />
Gaps [MKA02, Man73c, Thi88]. Gary [Lev05]. gas [Mas06].<br />
gaseous [SW92]. Gasket’ [NWM + 06]. Gaskets [Jon90a, GASM84].<br />
Gaussian [Man62e, MW69b, Man69, Man71a, Man76c, Man02d, Man09c,<br />
Set92]. gaussiens [Man62e]. Gebiete [Man76]. gender [EHH05].<br />
14
General [CCC00, MDM02, Suz91, Woo94, BZ96, Man52c, Man60d, Mas05a,<br />
Wai88]. générale [CHR54, Man52c]. généralisations [Man75b].<br />
generalization [MV02, Orl70, Vla94]. generalizations [Man75b].<br />
Generalized [DAB99, KV ˇ Z ˇ Z08, Lew87, Mei92, Bou09a, FV95, FR92, Gué01,<br />
Orl76, TKR + 97, WC06, yWjCnG07, XX07, XRZ09].<br />
generalized-affine [Bou09a]. generate [Ye02].<br />
generated [AvHP + 97, JTEA91, Shi93].<br />
Generating [DHKT95, Miy90, VM95, Wai88, Bra94, SS89].<br />
Generation [DSB96, NG03, Nor82, Cas96, CM99, CD93b, CK93, DKW94a,<br />
Dre01, KH92, Pic94, VJ06, YHHS93, ZWZL06]. Generative [Mit03].<br />
generator [Man71a, Man01d]. Generic [Fra07]. Genetic [RBM96].<br />
génétique [CB59]. genomic [Fin89]. genres [Man56b]. Gentle [Mad86].<br />
geometer [Man09b]. geometría [FR98, Man97c].<br />
Geometric [GMMA83, LO96, Man78a, GBCK93, Nor82].<br />
geometrical [Sig96].<br />
Geometrie [Kur90, Man91b, Voj89, Man82c, Man01a, Man76a].<br />
geometries [GKL03]. Geometry [AW83, ABLM98, Bar84, Bia89, Boy83,<br />
Bri85, Bur84, Cam96, Cam00, Can84, Cha84, Fer83, Goo84a, Goo84b, Hal96,<br />
Man83b, MB89, Man91b, Man97c, Man10b, Spa84, Ste10, WBE99, Wil97,<br />
Ano10d, AAM + 03, Dev96, EPV96, Fal85, Fer95, HRO02, KCC89, Kir83,<br />
KM89b, LvF04a, LvF04b, Man75h, Man76a, Man78c, Man81a, Man82e,<br />
Man82c, Man84f, Man00, Man01a, Man04b, MM10, Mil88].<br />
geophysical [LSL86, MW69a]. geophysicist [Man89e].<br />
geophysics [SM89b]. German [Man60e, Man61a, Kau92, Man57a, Man91b,<br />
MH05a, MH08b, Man08, PR84a, PR84b]. Germany [BDLS96].<br />
Gets [Wil97]. Ghurye [Man61b]. Gibbs [KM89a, Man59c, Mas05a].<br />
given [ODA03]. glasses [MSW08]. Gleick [Hir89]. Glimpses [BF12a].<br />
Global [Man03c, HTHE05]. Globality [Man02d]. Gnedenko [Man62a].<br />
Gordon [Lev05]. Göttingen [PR84b, PR84b]. gram [Cha11].<br />
grammars [DHKT95]. Grammatical [ODA03]. gr<strong>and</strong> [Man59c].<br />
gr<strong>and</strong>-canoniques [Man59c]. Graphic [Hug98, Roj91]. graphical [DSB96].<br />
Graphics [GH04, Gin02, Kal03, OdlCA02, Pic87, CB97, FM02b, M + 85,<br />
Mar10]. Graphing [For04]. Graphs [Pic86, UP07]. Gravitation [AG06].<br />
gravity [dVSC96]. gray [WW08]. gray-level [WW08]. Greek [Est11].<br />
Grenzen [PR84b]. Group [DLM99, CCC00, Vla94].<br />
groups [Man82d, Man83d]. growing [ME90]. grows [Man92a].<br />
Growth [San87a, San87b, Bra94, BB84, BRRK94, EPV95, Fle97, MV89,<br />
NDS85, San85, San86]. growth-decay [Bra94]. Guide [Ste00a, Ste00b].<br />
Gustav [Man61e].<br />
H [Abb95, Dev92, Gar91, Har90, Kir79, Kir83, Man60e, Nat91, Sto79, Man02d].<br />
H. [Man59d, Man61g, Man65d]. H.-O [Dev92]. hadron [Ohn90].<br />
Hamiltonian [GM88, NM09]. H<strong>and</strong>book [Rac03]. Hard [Caw89].<br />
hardback [Kir83, Pic07]. Harmonic [BB99, EM92, Man60e, EJM91,<br />
15
EMW92a, EMW92b, ME91, Man92b]. harmonics [Cla86, CM99].<br />
Harmonie [PR84a]. Harmony [PR84a]. Harnessing [BJM + 88].<br />
Harold [Man61b]. hasard [Man67f, Man73a, Man75d, Man78b, Man84e,<br />
Man89d, Man98c, Man09a, Man10c]. Hasards [Man75c]. Hashing [HCF95].<br />
Hassan [Ano93a, Ano93c].<br />
Hausdorff [BL93, Gar88a, Man76a, Man86e, Shi98]. Hazes [WT10].<br />
Health [Pic07]. Heart [Bia89, VBM98, NIS + 03a, NIS + 03b, PM94].<br />
heat [Set92]. Heavy [DrKP10, Man03a, Rac03]. Heinz [Goo91, Lan89].<br />
Heinz-Otto [Goo91, Lan89]. held [CMR06, LvF04a, LvF04b, SMR84].<br />
Helmholtz [AST07]. hemorrhage [SCC + 07]. Henry [Man61b].<br />
Herdan [Man61e, Man61f]. Heterogeneous [LL97]. Heuristic [BF95].<br />
Hexagonal [NWM + 06]. HGA [Sch90]. Hidden [BEHM89, Man08].<br />
hierarchical [HS93, Man75e, Man79a, WGKS12].<br />
hiérarchisé [Man75e, Man79a]. High [Zaa10, Man74d, SL97].<br />
high-order [SL97]. High-temperature [Zaa10]. Higher [Vrs86].<br />
Hilbert [BB76]. History [Mit03, Mur93]. Hoeffding [Man61b].<br />
Hogg [Man60d]. Hölder [Man95a]. Hölders [Man95a]. homage [Ano10e].<br />
home [HRO02]. hommage [Ano10e]. homogeneous [Man75h, RPS + 06].<br />
homomorphisms [GDH96]. homothetic [Man65d].<br />
homothétiques [Man65d]. Honor [Ano95, Man61b]. honoring [DrKP10].<br />
honour [AF90, CMR06]. honouring [AF90]. Horton [YM94].<br />
Host [ME72]. Hotelling [Man61b]. Hubbard [Gar91, Har90].<br />
Hudson [Gru05, Ano05]. Hugh [Ano90]. hull [DM92]. human [EW96].<br />
humans [EHH05]. Hurst [DR99, Man65d]. Hutchinson [BCM91, BCM92].<br />
Hybrid [ZZZ + 96]. Hydrodynamic [NCS04]. Hydrology [SS00, MW68].<br />
Hype [Hir89]. Hyperbolic [Fai69, Fai05, GF95, HJ94].<br />
hypercubic [GMMA83]. hypotension [HTHE05]. hypotheses [Man67f].<br />
Hypothesis [Fam63, Man72e].<br />
Ian [Lev05]. IBM [Pic94]. ICF11 [CMR06, CMR06]. ICIP’95 [IEE95].<br />
ICTP [PT86]. ideal [Mas06]. ideas [Kir11]. identification [TdRGD09].<br />
IEEE [IEE03]. IFS [CB97, Mar04, Mar10]. IFSs [Hor90b]. ihre [Man57a].<br />
II [BM04c, BM04a, DL92, GASM84, Jaf97b, Man51b, Man86d, Man01c].<br />
III [Man61a, GAM84, Man85a, Man86e]. Illustration [RHD + 06].<br />
im [M + 85, PR84b]. Image [BB90, BJM + 88, Fis92, Fis95, IEE95, Liu95a,<br />
Par89, ZY94, BE95a, BE95b, COK96, CK96, CZ98, CP98, CK93, Dav96,<br />
EW96, GAH93, Ham95, HMS96a, HMS96b, HKHP11, Hor90b, Hür93, JT96a,<br />
JM96a, JT96b, KM11, KKL95, Kom95, KPY96, LKH97, LPZ08, LV96,<br />
LLP96, PH91, RBM96, SR96, Sau96a, SH96, Sau96b, Sig96, Slo94, TQ10,<br />
TTMB96, UH96, WY96, WW08, WM94, Wu99, YHHS93, ZZZ + 96].<br />
Imagery [VEJA89, JTEA91, Pum96].<br />
Images [BS88, BHI11, LVEB09, PS88a, PJS92c, Bar88b, BDM + 88, Bar93a,<br />
BL93, CD93b, FP89, GBR + 09, GFB + 10, HS93, Imr06, Loy91, Man01a,<br />
OdlCA02, WCH03, Woo94, Ye02, Goo91, Lan89]. Imaging [Hig11, Esp97].<br />
16
impairment [OMK + 05]. Imperfection [BB90]. Imperial [Man02c].<br />
implementation [FpDS99, GMMA83]. implementations [JT96a].<br />
implications [KFN00, Mai90, Man86e]. Implicit [Dav96, HKHP11].<br />
Impossible [Bro07]. improved [WW08]. IMS [DK06].<br />
Include [Man10b, Man85e]. Income [Man61m, Man62b, Man63d, Man60f].<br />
incomes [Man59f]. incompressible [Ghi86]. increasingly [Man92a].<br />
Incremental [CT91]. increments [Man03a].<br />
Independence [HASM96, Man60c].<br />
independent [BM04b, BM04a, Man03a, NM09]. index [CL87, FM02a].<br />
India [VBMS96]. indices [Man61e]. individual [Man85a].<br />
inequality [Yue10]. inescapable [Man05a]. infinie [Man59c, Man73c].<br />
Infinite [Man95c, YHHS93, BM04b, BM04a, DL92, FC00, Man59c, Man69,<br />
Man73c, Man86a, RM95]. Infinite-corner-point [YHHS93].<br />
Infinitely [GAM84]. Infinity [Cla10a, LG10c, LG10b, Lev05].<br />
Inflationary [Lin94]. influence [EHH05]. Influences [BF12b].<br />
Inform [BCM92].<br />
Information [Man59b, Man61h, Man65a, Man66b, Man66c, AMM57,<br />
AMM74, Baw11, Man51a, Man52c, Man57c, Man59b, Man61k].<br />
Informational [Man53b]. Informationstheorie [Man61a].<br />
Informazione [Man60h]. Ingenieur [Man57a]. Ingram [Man61b].<br />
inhomogeneous [LSL86]. insistence [Man57b]. inspection [CP98].<br />
instability [NDS85]. instantaneous [Man66d]. instantanés [Man66d].<br />
Institut [PR84b]. Institute [PR84b, BBBH92]. integrable [Mac08, Zha09].<br />
integral [BR74b, RB79, WWGF05].<br />
Integrals [Man60e, KV ˇ Z ˇ Z08, Suz91, Man60e]. intelligent [MC02].<br />
Interaction [VMH + 83]. interactions [BBB + 10].<br />
Interactive [HKHP11, CGC + 09, Hor90b, LK98]. interest [Man70b].<br />
interface [DLM99]. intermiss [Thi88].<br />
Intermittent [Man74d, Man76b, Man72e]. intern [CB59]. internal [Hoo91].<br />
International [CMR06, IEE95, KK93, PT86, AF90, VBMS96].<br />
Internet [Tau98, TG09].<br />
Interpolation [BEHM89, DKW94b, Bou09a, Man85c, Pum96].<br />
Interpretation [Man59b, LO96, Man51b]. Interprétations [Man51b].<br />
Interscience [GM61]. Intersection [Bou85]. interstellar [dVSC96].<br />
intrinsèque [Man52c]. intrinsic [Man52c, MJ97].<br />
Introduction [Abb95, BM04b, BM04a, Man94, Man95d, Nat91, PJS92d,<br />
SM89a, Bou06, Kau92, Man88, Man60d]. intuitive [Man85f].<br />
invariance [Man67f, MC87].<br />
Invariant [GM88, Man74a, Man74b, Man93c, San85].<br />
invariantes [Man74a, Man74b]. Inverse [MR97, CM91, HCF95, Man83d].<br />
Inversion [Man97a, MR97, RM97, FC00, Ley05, Man83d].<br />
inversions [Man82d]. investigation [BF95, Shi93]. IP [KLPS06].<br />
irregular [Nar07, UP07]. Irregularity [Dys78]. IRS [KK93]. Isaac [Fri04].<br />
ISBN [Fri04, Kur90, Pic07, Voj89]. Ising [BBM79].<br />
17
isl<strong>and</strong>s [Man75i, SBvB + 12]. iso [Man75h]. iso-surfaces [Man75h].<br />
isometries [Sau96a]. Isothermal [DdCVR03]. issue [DrKP10].<br />
Italy [CMR06, PT86].<br />
Iterated [BHI11, DHN85, BV11, Man74a, Man74b, Man84g, Man85a,<br />
Man85b, Man85d, Man85e, Man85f, Man85c, Van09, WY96, Esp97].<br />
Iteration [DAB99, MH94, Rat93, Vrs86, Jul18, Man80, SL97, Van10, WCH03].<br />
iteration-free [WCH03]. iterative [KKL95, Mor96].<br />
iterées [Mor96, Man74a, Man74b]. IV [Man61e, Man85b]. IX [Man85c].<br />
J [CB59, Man60b, Man61d, Man61l, WC06]. Jaffe [ABC + 94]. James [Hir89].<br />
Janua [Man61e]. January [LvF04a, LvF04b]. Java [Hug98]. jeux [Man53a].<br />
John [Gar91, Har90, Hir89, Man60c, Man74e, Man60a, Man60b, Yue10].<br />
Joint [DK06]. Jonathan [Sel10]. Jonckheere [CB59].<br />
Joseph [Man63a, MW68, Man73b]. joue [Ste98]. joue-t-il [Ste98].<br />
JPEG [EW96]. jubilee [LvF04a, LvF04b].<br />
Julia [Ano87, CCC00, Dew87, DSB96, DAB99, DMT03, Eng93, Ent89, GH04,<br />
Gin02, Man85e, Man85f, OdlCA02, PSvH84, Sau87, Shi98, Vrs86, yWjCnG07].<br />
July [Fis95, GMA + 98, PT86, RW89]. June [ACM03, DK06, PR84b, RW89].<br />
Juni [PR84b]. Jurgens [Dev92, Abb95, Nat91]. justification [Man59c].<br />
Kac [Man60c]. Kapazität [Man61a]. Karlin [Man61d, Man61l].<br />
Kemeny [Man60b]. Kenner [Ano90, Ano91]. Kenneth [Man61d, Man61l].<br />
Keplerian [Dav95]. kernel [Set92]. key [Man75c]. kinetic [TM86].<br />
Kinetics [Kop88]. Kings [WGKS12]. Kirkwood [BR74b]. Kit [Esp97].<br />
knew [Man95f]. known [DDH10]. Koch [PS88b]. Kolmogorov [MV02].<br />
Kolmogorov-like [MV02]. komplexer [M + 85, PR84b]. Kosmos [PR84a].<br />
Krook [BC80]. kurtosis [Man76b]. Kybernetik [Man57a].<br />
L [Ano93a, Ano93c, Ano05, Are93, Boy83, CC58, Goo91, Gru05, Hal96,<br />
Kal03, Lan89, Swe91].<br />
Lacunarity [HASM96, BM97, GMMA83, MS94, Man95e, Mas06].<br />
l<strong>and</strong>scapes [Bur81, Hir94, Hug98, Mil88, MM91].<br />
langage [AMM57, AMM74, CC58, Lee59].<br />
Language [JPS90, Cha11, Man56c].<br />
Languages [Man53b, Smi84, Dre01, Fer95, Man54b, Man59b].<br />
Langues [Man59b]. L’anneau [Man01a]. Laplacian [Set92].<br />
Large [LS92, VBMS96, Vor02, YMK94]. Large-Scale [LS92].<br />
Laser [KMNW99]. latent [Man89b, MF09]. lateral [Man95a].<br />
lattice [EMW92a, EMW92b, Fin89, NCS04].<br />
lattices [GMA80, GMMA83, GAM83, GAM84, GM83]. Laurie [Man60b].<br />
Law [FMS96, Lef82, Mit03, BP84, Cha11, CL87, Dev57, Egg99, Gai06,<br />
MSW08, Man57b, Man60f, Man60g, Man62d, Man03d, Man09c, Mas05a,<br />
Mas05b, Mas06, Orl70, Orl76, TW11, Man57c].<br />
laws [CJK11, Dro10, Man01d, Win05, Par89]. Layering [Kel00].<br />
18
leads [Mas05a]. leaf [VC86]. leaflets [PM94]. Lean [Sau96b].<br />
Learning [KK90]. LeBaron [Man01d]. Lecture [Man77c, CB59, JeJP58].<br />
lectures [CMR06, Man60e]. Leffler [BM97]. Lefschetz [Man63a].<br />
Left [Man90b, MEH90]. left-sided [MEH90]. Lei [Mud02].<br />
L’Emploi [Lef82]. length [EG94, Man81a, Man86d]. lengths [MLDW85].<br />
lents [Man66d, Man73b]. Léo [Lee59, Man65b]. Lesmoir [Lev05].<br />
Lesmoir-Gordon [Lev05]. Lett [BCM92]. letter [Man61f].<br />
Letters [KM89a]. leur [Man59c]. level [WW08]. levels [BP84].<br />
Lévy [BM97, CS87, Man59e, Man59f, Man60f, Man62e, Man95f, PC06, TG09].<br />
l’expérience [CB59]. Library [Fri04, Esp97]. Life [WBE99, Wil97, Bou09b].<br />
ligne [Man51a, Man51b].<br />
Like [DAB99, Vrs86, CGC + 09, CD93a, MV02, Wai88]. likelihood [Izs06].<br />
Limit [LR00, Man71c, Man76, Man75g, Man75f, FC00, Man82d, Man83d].<br />
limitation [Cha11]. Limitations [Man91c, DV93].<br />
Limited [MKA02, EMW92a, EMW92b, KVMW95]. limiting [Man55a].<br />
Limits [Roo10, Man67d, PR84b].<br />
line [Bar73, Man51a, Man51b, Man72a, Ran91]. linéaire [Gui87].<br />
Linear [Man60a, Man71b, MKA02, AvHP + 97, BR77, BV11, HD91, HCF95,<br />
LO96, Man84g, MC02, Van09]. linearity [Man69]. linearly [EM92].<br />
lines [Man91a, Phi92]. l’information [CC58, Lee59]. L’ingénieur [CHR54].<br />
Linguarum [Man61e]. Linguistics [Man61e, Man57a, Man57c, Man59a].<br />
Linguistik [Man57a]. Linguistique [Man57c]. linguistiques [CHR54].<br />
Lion [Fri04]. literature [Ano90]. LIW [CCRR91]. load [JH97].<br />
loaded [TSS85]. Local [JM96b, Man96b, Man03c, HTHE05, DL92].<br />
localization [dVdRL93]. locally [Man69].<br />
Logique [AMM57, AMM74, CC58, Lee59]. logistic [IKP01].<br />
Lognormal [Mit03, Man72e]. Loi [Lef82, Dev57, Man57c, Man60g, Man65d].<br />
lois [Man67f]. London [Man61e].<br />
Long [Man67b, Man69, MW69c, MW69a, MT79, Man01d, Man09c, RVA00].<br />
long-range [RVA00]. Long-run [Man69, MW69a, MT79]. look [Dew85a].<br />
Looking [Bri88]. loop [Man78b]. loop-free [Man78b]. Lorenz [Dev92].<br />
Lossless [SH96, LV96]. Louisa [Lev05]. Low [Slo94, GMMA83, GKL03].<br />
Low-bit-rate [Slo94]. low-distortion [GKL03]. Lungs [Hel92].<br />
LXII [CHR54]. Lyapunov [WC06].<br />
M [GM61, Goo91, Lan89, Man60e, WC06]. M. [Roo10].<br />
M.Tichomirow [Man61a]. Machina [MM89]. machine [BDLS96, DLM99].<br />
Machol [Man61h, Man61k]. Macintosh [Esp97, Kat86].<br />
Macmillan [Man60d, Man63a]. macro [Man59a].<br />
macro-linguistics [Man59a]. macroscopic [Man57c].<br />
macroscopique [Man57c]. Madow [Man61b]. Magic [Lar90, Ano88].<br />
magmatic [Cor90]. Mai [PR84b]. maintenance [Lef82]. Maior [Man61e].<br />
make [Fra98]. makes [Esp97]. mammal [HRO02]. Manage [Adl12].<br />
management [DDH10, FHD09].<br />
19
M<strong>and</strong>elbrot [Abb95, AF90, And11, Ano93a, Ano05, Are93, Bri85, CHR54,<br />
CC58, CB59, DK06, EPV96, Gar91, Gom10, Goo91, Gru05, Hal96, Har90,<br />
Hir89, Kir79, Kir83, Kur90, Lan89, LvF04a, LvF04b, Lee59, Lev05, Mud02,<br />
Nat91, Pei10, Sch90, Sch05, Swe91, Voj89, AK10, Ano87, Ano88, Ano89b,<br />
Ano93b, Ano93c, Ano95, Ano10b, Ano10c, Ano10a, Ano10d, Ano10e, Ate93,<br />
AB85, Bak00, Bar84, BH89, BF12a, BF12b, Baw11, BL80, BP84, Bou11,<br />
Boy83, Bre79, Bri88, Bur84, Bur02, Cam96, Cam00, Can84, Cha84, Cha11,<br />
Chu11, Chu12, CCC00, CHR54, Con10, Dev90, Dev91, Dev96, Dev99, Dev04,<br />
Dev57, Dew85b, Dew87, Dew89, DSB96, DAB99, DMT03, DrKP10, Dur78,<br />
Dys78, Egg99, Est11, ES92, Ewi95, FL91, Fai69, Fai05, Fam63, Far11].<br />
M<strong>and</strong>elbrot [FR98, Fer83, For04, FR92, FPR92, Gar88b, GF95, Gil04,<br />
Gin02, GMV09, Goo78, Goo84a, Goo84b, Gui87, Her05, H<strong>of</strong>10, Hoo91,<br />
Hor90a, How78, Ios79, IKP01, Izs06, Jaf11, Jon90b, Kac78, KNBZ12, Kah74,<br />
KP76, Kal03, Kat86, Kil78, Kir11, KM89a, dLKHS04, dLKHS06, Lan97,<br />
Lef82, LG10a, LR00, Mag04, Man04a, Man06a, Man12, Mas05a, Mas05b,<br />
Mas06, MM08, Mei92, Met94, Mir90, Mir01, Orl70, Orl76, OdlCA02,<br />
PRÁM04, PJS92e, Per10, Phi92, PFR94, Pou86, Pro95, Pro97, Rad96, Rat93,<br />
Roj91, RP ÁM04, RPAM06, RAA+ 08, Roo10, SBvB + 12, Sch05, Sch86, Sel10,<br />
Sen90, Shi98, Shl05, Sim61, Smi91, Spa84, Sto79, TW11, Tay11, Ten10, Val11,<br />
Vrs86, VM98, yWjCnG07, WGKS12, Wes94, XRZ09, Zak06, Dev92, Lar90].<br />
M<strong>and</strong>elbrot-Like [DAB99, Vrs86]. M<strong>and</strong>elbrote [Fri04, Pic07].<br />
M<strong>and</strong>elbus [Ano89b, Dew89]. Mann [Man61b]. many [Man81a, Suz91].<br />
many-body [Suz91]. map [Car99b, Man84g, Man85c].<br />
mapping [BF95, Man83c]. mappings [CCC00].<br />
Maps [Mil86, Car99b, Eng93, Ham95, IKP01, Man84g, Man85a, Man85b,<br />
Man85d, Man85e, Man85f, Man85c]. March [CMR06, Fri04].<br />
marchés [MH05c, MH09]. Margaret [Pic07]. Mark [Man60c].<br />
Market [Man68, Mas05a, Mas05b]. Markets [Man66a, MH08a, MH04a,<br />
MH04b, MH05c, MH05b, MH09, MH05a, MH08b, Gru05].<br />
Markov [Man60b, Man60g]. Markovian [Man61i]. markoviens [Man60g].<br />
Märkte [Ano05, MH05a, MH08b].<br />
Martingale [Man66a, Man71c, BCM03, Man03b].<br />
martingales [BJM10b, KP76]. Maryl<strong>and</strong> [SMR84]. mass [BM97].<br />
Massachusetts [Man60c, RW89, IEE03]. Mat [Man61a].<br />
matching [KPY96]. Material [Bal10]. materiality [SBvB + 12].<br />
Materials [Sch89, Tsu08, Cla86, HWM87, LMP85, MP84, WSM88].<br />
Math [Tau98]. MATHEMATICA [Bis95, Bau96, Bau05, GH04, Kau92].<br />
Mathematical [Gar78, GM61, LvF04a, LvF04b, Man60c, Man60d, Man61e,<br />
Ste00b, Man52a, Man53a, Man84f, Man00, Man57c, Man61d, Man61l].<br />
Mathematician [H<strong>of</strong>10, Ano10a]. Mathematics [BF12b, Dev04, GM61,<br />
Kal03, Man60e, Man02b, ABC + 94, Dew85a, FM02b, Man60d, Man01e,<br />
Man02a, MF02, Man04b, Man61e, Man63a].<br />
mathématique [Man52a, Man53a, Man57c]. mathématiques [Ste98].<br />
mathemetics [Jak84]. matrices [DL92, MGAP85]. matter [MT10].<br />
20
Maverick [Ten10, Man02c]. Max [PR84b]. Max-Planck-Institut [PR84b].<br />
Maximization [Man62b]. Maximum [Izs06]. Maxwell [DT91, Man52b].<br />
May [PR84b]. McGuire [Goo91, Lan89]. mean [Man74a, Man74b].<br />
meanings [Man90c]. Measure [LVEB09, Wil97, EJM91, EMW92a, EM92,<br />
EMW92b, Gué01, ME91, Man92b, Man93c]. Measure-Valued [LVEB09].<br />
measurement [DDH10, MW69c, Man84g, Vos86].<br />
Measures [Man95c, Man95e, MR97, BCM03, BM04b, BM04c, BM04a, GH98,<br />
GM88, Jor12, Man84d, Man86a, Man89b, Man89e, MEH90, Man93c, Man03b,<br />
Pey91, RM95, RM98, Set92, dACSS12]. Measuring [Mil88, LSL86].<br />
Mechanical [PM94]. mechanics [Bau96, BBB + 03]. Mechanism [BRRK94].<br />
Mechanisms [WGKS12]. medallions [RPAM06, RAA + 08].<br />
media [DT91, PC06]. medical [HKHP11]. Medicine [Pic07].<br />
medium [MSW08, dVSC96]. medium-range [MSW08].<br />
Meeting [DLM99, LvF04a, LvF04b]. membranes [GDC + 10, Lap08].<br />
memoir [Man09b, Jul18]. Mémoire [Jul18]. memoriam [Jaf11].<br />
memory [Man01d]. Mengen [Man61a]. mesh [Wai88, ZWZL06].<br />
mesh-connected [Wai88]. mesoscopic [FBVdlN99].<br />
message [DLM99, Man51a, Man51b]. metal [MP84]. metallic [MSW08].<br />
metals [MPP84]. metaphilosophy [Mur93]. metaphor [Old01].<br />
metaphors [MM08].<br />
Method [DR99, Miy90, Bis95, BM93, Car99b, CJK11, CP98, Dro10,<br />
FpDS99, JT96b, KKL95, KPY96, Nar07, WW08, YHHS93, ZZZ + 96].<br />
méthodes [Man57c]. methodology [Man72b, VJ06]. Methods [BBBH92,<br />
Man61d, Man61l, Man63b, Man63c, Man09c, BB79, BT81, Car96, Car99a,<br />
COK96, DMT03, FSR94, KH92, Man57c, Man64a, SS89, TPVG06].<br />
Metropolitan [Hou95]. Michael [Kal03, Lev05]. micro [YJ09].<br />
micro-architecture [YJ09]. microgravity [VCM + 11].<br />
microparticle [dLKHS06].<br />
micropulses [CGM95, CGM96, Man95b, Man96a]. microscope [Dew85a].<br />
microvascular [RPS + 06]. middle [SCC + 07]. midgets [PFR94].<br />
Mild [MT10, OMK + 05]. mineral [FSD89]. minimizing [HKHP11].<br />
Minimum [Wu99]. mining [Win05]. Minkowski [Man93c, Man95e].<br />
Mir<strong>and</strong>a [Par89]. Mis [MH08a, Gru05, MH04a, MH05b].<br />
misbehaviour [MH04b]. miss [Thi88, Thi89]. Mittag [BM97].<br />
Mittag-Leffler [BM97]. Möbius [MM08]. Model [BK02, BM63, LM85,<br />
Man68, BBM79, BC80, BM93, CB97, GM84b, LLP96, Man61g, Man62e,<br />
Man73d, Man75e, Man79a, Man83a, MG84, TM86, WY92].<br />
model-based [Man62e]. modèle [Kah74, Man62e, Man75e, Man79a].<br />
modéles [Man66d].<br />
Modeling [BK03, CMP07, FMS96, Liu06, WGKS12, ZT96, Gro92, TG09].<br />
Modelling [MC02, Bar88b, Bar93a, Man90b].<br />
Models [DKW94b, GM64, Man66a, Man71c, Man82a, Mit03, Cha11, DLS93,<br />
Dav96, Izs06, KPY96, Man61i, Man66d, Man75i, MV89, Man05b, Sah93].<br />
modes [KMNW99]. modified [WW08]. Modifying [CGH02].<br />
21
modular [CCC00]. Molecular [AFP84, NWM + 06, NFT + 01].<br />
molecules [Man85a]. moment [BBM79, Man86a].<br />
Moments [dACSS12, BM04c, Man74d]. money [Jon94]. monitor [FP89].<br />
Monograph [Man60c]. Monotonic [Man60e]. monsters [Man82c].<br />
monstres [Man82c]. Monte [Pic86]. Morf [CC58, Lee59].<br />
morphing [Mar04]. morphisms [Dek12]. Morphologie [PR84b].<br />
morphology [CGC + 09, PR84b]. Morphosis [Eng93]. mortality [Hig11].<br />
most [Dew85a].<br />
Motion [BB99, MM70, CGM95, CGM96, Man76a, Man95b, Man96a].<br />
Motions [MV68, Man82b, MJ97, PC06]. Motivate [DAB99].<br />
mountain [BM93]. Mountains [Man10b]. Mouton [Man61e].<br />
mouvement [Man76a]. Moving [SO93, Gon98].<br />
moyenne [Man74a, Man74b]. MRI [HLTP01].<br />
multi [Bou09a, Egg99, KM11, Man75b]. multi-purpose [KM11].<br />
multi-temporal [Man75b]. multi-wavelets [Bou09a]. multi-word [Egg99].<br />
multichannel [VM95].<br />
Multifractal [BK02, BM99, BM02, Fra07, GT07, Jaf97a, Jaf97b, LL97,<br />
Liu06, Man89e, Man95c, Man99a, Man03d, MDM02, Pey91, RM95, BK03,<br />
BCM03, BM04b, BM04c, BM04a, DLS93, GM88, Jaf98, Man88, Man89b,<br />
MEH90, Man93c, MJ97, Man03a, Man03b, MdF05, MV02, RM98, TPVG06].<br />
Multifractality [ME91, VHA05, Man90c, Man99d, dSVTM99].<br />
Multifractals [BM04a, FMS96, Man86b, Man91c, Man97a, MR97, Man99b,<br />
CM99, Man90b, Man90a, Man95a, RM97, STI99, Man01c, Bak00].<br />
Multinomial [Man95c, Izs06, Man89b, RM95].<br />
Multiperiodic [BCM03, Man03b]. multiple [RPAM06, RAA + 08].<br />
multiple-spiral [RPAM06, RAA + 08]. Multiplications [Man74a, Man74b].<br />
Multiplicative [LR00, Man61m, BM04b, BM04c, BM04a, BM09, BJM10a,<br />
Man86a, Man90b, XRZ09]. multiplicité [KM65].<br />
Multiplicity [Man74e, KM65]. Multiplying [CM99].<br />
multipoint [Bar73, EB73]. Multiresolution [JTEA91].<br />
Multiscale [RRB06]. Multivariate [AB85]. Mumbai [VBMS96].<br />
Munich [BDLS96]. Museum [RW89].<br />
Music [VC75, VC78, Cam87, Gar78, Sch87]. mutants [Man74c].<br />
mutation [Man74c]. Mycoparasite [ME72]. Mystery [Mag04, Met94].<br />
N [Man70a, Man99b]. N.Kolmogor<strong>of</strong>f [Man61a]. nano [CGC + 09].<br />
nano-agglomerates [CGC + 09]. Nanoassembly [NWM + 06].<br />
Nanoscale [EKKR06]. National [SMR84]. NATO [BBBH92, Fis95].<br />
natu [Man78c]. Natur [Kur90, Man91b, Voj89]. Natura [MM89].<br />
Natural [Man81b, Man07, Cha11, CM99, DdCVR03, GH04, KH92, Man54b,<br />
Man56c, Man62d]. naturaleza [Man97c, FR98]. Nature [AW83, ABLM98,<br />
Man83b, Man91b, Man97c, Man98b, MPB + 98, Ste10, VMH + 83, DSS90,<br />
KRP + 91, MSW08, Man76a, Man82e, Man82c, Nov04, WY92, Bri85, Boy83,<br />
Bur84, Cam96, Can84, Cha84, Fer83, Goo84a, Goo84b, Spa84, Kir83].<br />
22
Nauk [Man61a]. Nawrotzki [Man61a]. Ndynamics [ADdM + 12].<br />
Near [Man63d, KK90]. near-optimal [KK90]. Necklaces [Man78b].<br />
need [Man05a]. Negative [Man90a, Man91c, Man95a, Man70a, Man89b,<br />
Man90c, Man03d, MF09]. neighborhoods [Man93a, SAM93].<br />
Neonatal [VBM98]. Net [Ano98].<br />
Networks [Orb86, LSL86, NYO94, RPS + 06]. Neuron [GM64].<br />
neurophysiologic [HWEH05]. Never [Sel10]. newer [Man64b].<br />
News [Ano10a]. Newton [Fri04, Bis95, Car99a, Car99b, Smi91, YHHS93].<br />
NGC5506 [MC87]. Nigel [Lev05]. Nirenberg [Yue10].<br />
No [Kir79, Kir83, Man60e, Man60c, Man73d, Man01d, WW08].<br />
no-search [WW08]. Noah [MW68].<br />
Noise [Lew89, VC75, Man55a, Man67a, Man71a, Man72a, Man76c, Man99b,<br />
Man02d, VC78, Vos79, XRZ09, vW91, Bak00].<br />
Noises [MV68, Man67a, MW69b]. Noisy [GPS92, EHH05].<br />
nombres [Man56b]. Non [BM04c, Man71b, Van09, BR77, Fle97, FSD89,<br />
Gin02, Gui87, KKL95, Man60g, Man62e, MC02]. non-additive [Man60g].<br />
Non-degeneracy [BM04c]. non-distributive [Gin02].<br />
non-equilibrium [Fle97]. non-fractal [FSD89]. non-Gaussian [Man62e].<br />
non-iterative [KKL95]. Non-linear [Van09, BR77, MC02].<br />
Non-Normal [Man71b]. noncommutative [Lap08]. noncyclic [MW69c].<br />
nonfractal [CS87]. noninteger [GMMA83].<br />
Nonlinear [GOY87, TE92, AGP81, BB79, NFT + 01].<br />
nonperiodic [Man72b]. Nonsmooth [Man96b, DT91, JM96b].<br />
Nontransient [MKA02]. Normal [Man71b, RPS + 06].<br />
Normalized [Man75f, Man76, Man75g, Man85b]. Norway [Fis95].<br />
nos [CHR54]. Nostr<strong>and</strong> [Man60b]. Note [FP89, Hoo91, Man76c, Gué01,<br />
Man57b, Man59d, Man61g, Man61j, Sim61]. notes [Val11].<br />
Notion [Man89g, Man52c, Man85b, Man90c]. nouveau [Man79a].<br />
Nouveaux [Man66d]. nouvelles [Man73a, Ste98]. Novel [KKL95].<br />
November [And11, SMR84]. NP [STI99]. NP-completeness [STI99].<br />
nuclear [BT81]. nucleation [Fle97]. nucleus [MM10].<br />
Number [GM61, G<strong>of</strong>91, Man60c, DM92, Man56b, Man74c, Man75i].<br />
number-area [Man75i]. numbers [Sen90]. numeration [DT89, DT89].<br />
Numerical [ADdM + 12, DdMdO + 99, TPVG06, CMP07, Dro10, NYO94,<br />
AGP81].<br />
O [Abb95, Dev92, Nat91]. Obituary [And11, Ano10c, LG10a, Tay11].<br />
object [Dew85a]. Objects [DHN85, Kaj83a, Kaj83b, BF95, DT91, Jak84,<br />
Man75d, Man77d, Man78d, Man84e, Man89d, Man98c, Man10c].<br />
objets [Man75d, Man78d, Man84e, Man89d, Man98c, Man10c].<br />
observation [dLKHS04]. Observed [KLPS06]. observers [EW96].<br />
obstacle [SH92]. obtained [Imr06]. occurring [Man54b].<br />
October [AF90, And11, BDLS96, BCM92, Fri04, IEE95, IEE03].<br />
<strong>of</strong>f [EMW92a, EMW92b]. <strong>of</strong>f-<strong>of</strong>f-lattice [EMW92a, EMW92b].<br />
23
Offer [Adl12]. Old [Wal96, Man74c, Man02d]. Olkin [Man61b].<br />
One [Abb95, Nat91, PJS92d, AvHP + 97]. one-dimensional [AvHP + 97].<br />
open [Man86a, Sta96, VCM + 11]. operational [MW68].<br />
operator [PC06, Ska99]. operator-stable [PC06].<br />
ophthalmology [KNBZ12]. Opinion [Hir89]. Opinions [Man93d, Man93e].<br />
optical [NFT + 01]. optics [KMNW99]. Optimal [MH94, KK90].<br />
Orbit [Ano93a, Ano93c, Are93, Dev91, Swe91, Car99a, Dev90, Ye02].<br />
orchestra [VM98]. Order [Pic87, Vrs86, MSW08, NFT + 01, SL97].<br />
ordered [SL97]. Ordering [All90, YM94]. Organic [WT10].<br />
Organisms [WBE99]. organization [BP84, FP10]. organizing [Ham95].<br />
orientation [CGC + 09]. orientation-specific [CGC + 09]. origami [Van10].<br />
original [Man60e, Man61a]. originating [Man04b]. Orl<strong>and</strong>o [GMA + 98].<br />
orthogonal [Bou09a]. Oscillation [Jaf98]. oscillatory [Fle97].<br />
osculate [Man82d]. osculated [Man83d]. Other [Man64d, Man67g, Bur81,<br />
CM91, KH92, Man78c, Man84h, Man03d, YMK94]. Otto [Goo91, Lan89].<br />
Outils [Lef82]. outline [Man56c]. overview [DMT03].<br />
P [Man61a, Man63a]. package [ADdM + 12, CGC + 09].<br />
Padé [BB76, Bar73, BR74a, BR74b, Bar75, Bar76, EB73].<br />
Padé-approximant [BR74b]. Padé-type [BR74a]. pages [Kir79, Kir83].<br />
paintings [JSM06, TMJ99, TMJ06]. Panorama [FM02a].<br />
Paper [Man79b, Man59d, Man70a]. paperback [Fri04].<br />
Paperfolding [Dek12]. papers [Man12]. Parabolic [Bur02, BB79, Man93c].<br />
Parallel [BDLS96, BL93, JM96a, KVMW95, Man05b, SC88, UH96, DLM99,<br />
DMT03, Pic94, VM95]. Parallelism [GDH96]. parameter [Eng93, TW11].<br />
Parameterization [GF95]. parameters [Izs06, RVA00].<br />
Parametric [OdlCA02]. Parametrized [CK93].<br />
Paretian [DrKP10, Fam63, Man61m, Man62b, Man63d, Man64d].<br />
Pareto [Man59e, Man59f, Man60f, Man62d, Mas05a, Orl76].<br />
Parsimonious [BK02]. Part [Abb95, Jaf97a, Jaf97b, LvF04a, LvF04b,<br />
Nat91, PJS92d, PJS92e, BM04a, BM04a]. Partial [GMAK84, WY96, CT91].<br />
Partial-dimensional [GMAK84]. partially [DV93]. particle [FBVdlN99].<br />
Particles [SO93]. passing [DLM99]. Path [MF99, Suz91].<br />
Patrick [Man61d, Man61l]. Pattern [HKE01]. Patterns [Miy90, VEJA89,<br />
DL87, Fle97, GH04, HTHE05, Nov04, SS91, Van09]. Paul [Man62e, Man95f].<br />
pays [Ano10e]. Peano [Man82c, Man85f, MJ97].<br />
Peitgen [Abb95, Goo91, Lan89, Nat91, Dev92]. Pelling [Pic07]. 75 [Man76].<br />
C [Esp97]. IP [VHA05]. MPI [DLM99]. wavelet [CK96]. Pennock [Lev05].<br />
perceived [BM97]. Perceptual [Ska99]. Perceptually [LV96].<br />
Percolation [AGMK81, HASM96, GAMK81, GMAK84, GM84b, Man83a,<br />
MG84, MS94, Sah93]. perdre [MH05c, MH09].<br />
Performance [JT96a, WM94]. performing [CGC + 09]. perimeter [Imr06].<br />
Period [GF95]. periodic [CGH02, CM99, WC06]. periodontal [Lan97].<br />
permanent [Man60g]. permanents [Man60g]. personal [Bou11].<br />
24
perturbed [AK10, yWjCnG07, XRZ09]. Peter [Man73d].<br />
Phase [GAM83, GASM84, GAM84, SH92]. Phenomena [Man64d,<br />
AGMK81, GMA80, KH92, Man78c, Nov04, Sah93, San85].<br />
Phenomenological [Man64c, Man56d]. phenomenon [NDS85].<br />
Philosophical [Mur93]. phrases [Egg99]. Phys [EMW92a].<br />
Physical [Man61c, Man77d, MG84, SO93, NYO94, SMR84, Man51b].<br />
Physics [Ano93b, Bau96, Man02c, AF90, BT81, Bau05, Man78a, Man84d,<br />
Man99b, Man01e, Man04b, PT86, Smi91, Suz91, ABC + 94].<br />
Physique [Man61c]. physiques [Man51b]. Piaget [CB59]. Pial [HKE01].<br />
Pics [Ano98]. Pictures [PR84b, PR84a]. Piecewise [BH89]. PIFS [LLP96].<br />
pioneer [Ano10b]. pipelined [JM96a]. Pixel [All90]. Placement [Pic86].<br />
Planar [PB89, Man84g]. Planck [PR84b]. Plane [Man92a, Car96, Ent89].<br />
planefilling [Dek12]. planes [CZ98]. Plants [Smi84]. plenary [CMR06].<br />
Plotting [Bur02, Sch86]. pluri [Man75b]. pluri-temporelles [Man75b].<br />
Point [BR76, ADR01, Vla94, YHHS93]. pointlike [DT91].<br />
Points [For04, Zak06, FR92, Man99c]. Pointwise [RB79].<br />
Poisson [Man75b, Vla94]. poissonienne [Man75b]. Pole [MM70].<br />
Pollard [Man60e]. Pollock [JSM06, TMJ99, TMJ06].<br />
Pólya [JM96b, Man96b, MJ97]. polygons [Van09]. Polymer [NWM + 06].<br />
Polymers [Sch89]. Polypyrrole [EKKR06]. pondérée [Man74a, Man74b].<br />
pools [Sau96b]. population [Man74c]. porous [PC06]. positive [Man60g].<br />
Possible [Hou95, Man72e, Esp97, GAMK81]. Post [Man61j, VBM98].<br />
Post-Conceptional [VBM98]. potential [BA78, Man49, ME90].<br />
potential-energy [BA78]. potentials [Man91a]. Potts [AAM + 03].<br />
pour [Man56a]. powders [MP84]. Power [MSW08, Mit03, Pic94, LG10b,<br />
Man01d, Man03d, Man09c, SL97, Win05]. Power-law [MSW08, Man09c].<br />
powers [DM92, Fra98].<br />
Pp [Fri04, Pic07, BCM92, Man60e, Man60b, Man60d, Man61e, Man61a].<br />
pp. [Man60c, Man63a]. Practical [Gib93, Man03c, PH91, FP89].<br />
Practice [Pic07, DDH10]. praxis [MM08]. pré [Man55b].<br />
pré-correction [Man55b]. preasymptotics [Man95a]. Prechter [Lev05].<br />
precorrection [Man55b]. Prediction [Fai69, Fai05, Thi89, TE92].<br />
predicts [HRO02]. Preface [Man98a]. Preis [Bri85, Kur90].<br />
presented [CMR06]. President [Ano10e].<br />
Press [Man60e, Man02c, Man60a]. pressure [SCC + 07]. Preterm [Hel92].<br />
Price [Kir79, Kir83, MT67, Man71c, Man61a, Man66d, Man73c, Man03a].<br />
Prices [Man63e, Man63f, Man66a, Man67g, Man68, Man72c, Man62e,<br />
Man70b, Man73d, Man01b, Man01c]. primer [MF09]. Princeton [Man60e].<br />
principle [Man75a]. Principles [Man64c, BR74a]. printing [PJS93].<br />
prix [Man62e, Man66d, Man73c]. Prizes [Ano93b, Man02c].<br />
Probabilistic [BBBH92]. probabilités [BBB + 10]. probabilities [BR75].<br />
Probability [Man60c, Man61b, BBB + 10, Gué01, Man62a]. Problem [PB89,<br />
Pro95, BBM79, BV11, CM91, HCF95, Man73b, PSvH84, Pro97, VM95].<br />
problème [Man73b].<br />
25
Problems [BR76, BR77, KK93, Man49, Man86a, GM61].<br />
Procedurally [Kaj83a, Kaj83b]. Procedure [CR94].<br />
Proceedings [BBBH92, IEE95, LvF04a, LvF04b, Man61d, Man61l, SMR84,<br />
VBMS96, AF90, AGP81, BDLS96, DK06, DLM99, KK93, PT86, ACM03,<br />
IEE03].<br />
Process [BCM92, Man75f, Lan97, Man69, Man72a, Man73d, Man74c, MdF05].<br />
Processes [Man61h, Man74e, BM09, GM84a, Man59e, Man59f, Man60g,<br />
Man62e, Man64e, Man65d, Man76, Man75g, San86, Vla94, Man61k].<br />
Processing [IEE95].<br />
Processus [Man60g, Man59e, Man59f, Man62e, Man65d].<br />
producing [BF95]. products [BM99, BM02, BM04b, BM04a, DL92].<br />
Pr<strong>of</strong>. [Man70a]. Pr<strong>of</strong>essor [Ano91]. pr<strong>of</strong>iles [BZ96].<br />
Pr<strong>of</strong>undity [Ano87, Dew87]. Program [Kat86]. programs [Kok94, Thi89].<br />
Progress [Fai69, Fai05]. promenades [Man78b].<br />
Properties [LM85, Tsu08, Bar73, HWEH05, KV ˇ Z ˇ Z08, Mai90, MW69a,<br />
MG84, Man85a, NFT + 01, NYO94, NCS04, Jaf98]. property [Bra94].<br />
proposed [DSS90]. proteins [LR85, MJ86]. Provided [WT10].<br />
Pseudo [Car96, SSK93]. Pseudo- [Car96]. Pseudo-satellite [SSK93].<br />
psycholinguistics [Man65a, Man66b, Man66c]. pulse [NIS + 03a, NIS + 03b].<br />
Pulses [CGMST95, Man03c, BM99, BM02, Man95d]. Pure [GM61].<br />
Purely [Man64c, Man56d]. purpose [KM11, Wai88]. puzzle [Edg00].<br />
PVM [BDLS96, DLM99, JH97, UH96, Wu99]. PVM/MPI [DLM99].<br />
QoS [FHD09]. quad [Gin02]. quadratic [Eng93, Man83c, Met94].<br />
quadtree [JM96a]. Quant [Man01d]. Quanta [Man51a].<br />
Quantification [VBM98, NIS + 03a, NIS + 03b]. quantitative [NDS85].<br />
Quantization [HMS96a, Mas05b]. Quantum [FdL10]. Quasi [NR95].<br />
Quasi-Affine [NR95]. quasicrystals [ADR01]. Quasilinear [GAM83].<br />
quatre [Man75c]. que [CHR54]. Quelques [BBB + 10, Man74b].<br />
questions [Man84f, Man00]. Queue [MDM02]. queueing [RRB06].<br />
Quinn [ABC + 94]. Quotients [Ate93].<br />
R [Goo91, Lan89]. Rabbit [Hel92]. Radial [MKA02]. radiation [KK93].<br />
radiative [DLS93]. radical [Man85b]. Radiosity [Wu95]. Rain [LM85].<br />
raised [Man84f]. ral [Man78c]. Ramified [VEJA89, AST07, GAM84].<br />
Ramsey [Man70a].<br />
R<strong>and</strong>om [GM64, Man61m, Man64d, Man68, Man71c, Man91c, MH94, Vos86,<br />
WGKS12, Wu95, BM04b, BM04c, BM04a, Bra94, KM65, Man59c, Man64e,<br />
Man67d, Man72f, Man74a, Man74b, Man78b, Man93a, SAM93, TE92, Vla94,<br />
YM94, BM04b, BM04c, Man74a, Man74b, Man75b, Man74e].<br />
R<strong>and</strong>omness [PJS04b, MT10].<br />
Range [Man75f, MSW08, Man64e, MW69c, Man76, Man75g, RVA00].<br />
ranges [HRO02]. Raphson [Bis95]. rapports [Man73c]. raster [ADR01].<br />
rat [Fin89, HKS + 05, HTHE05, HWEH05].<br />
26
Rate [VBM98, WM94, NIS + 03a, NIS + 03b, Slo94]. Rate-distortion [WM94].<br />
rates [Man70b]. ratio [Pro97, Thi88, Thi89].<br />
Rational [BR78, Vrs86, Fat17b, Fat17a, Jul18]. rationale [Man85f].<br />
rationnelles [Fat17b, Fat17a, Jul18]. Rauzy [Sir97].<br />
Ray [Bou85, HSK89, Kaj83a, Kaj83b, MC87, Ohn90]. Ray-Fractal [Bou85].<br />
rays [RAA + 08]. Reaction [Kop88]. Reactions [LL97].<br />
reactivity [NIS + 03a, NIS + 03b]. Reading [JeJP58]. Real [RHD + 06, RVA00,<br />
Bar73, Bar88b, Bar93a, CB97, Eng93, Hir94, Man59b, Mar10, Oli91].<br />
Real-Time [RHD + 06, RVA00, CB97, Mar10].<br />
Realistic [BB90, Mar10, Maj98]. réalité [Man73b]. reality [Man73b].<br />
realizations [NYO94]. reasons [ALW + 88, MF02]. receptor [TKR + 97].<br />
recipe [Gon98, Loy91]. recognition [TQ10]. recomposition [JM96a].<br />
records [MW69a]. Recreations [Dew85a, Dew85b, Dew87, Dew89, Ste00b].<br />
rectifiable [UP07]. Recurrence [MB94, Man84b, NIS + 03a, NIS + 03b].<br />
recurrent [CK93, Man55a]. Recursive [Ran91, MV89, OdlCA02].<br />
Reducing [Sig96]. reduction [Kom95]. Réelles [Man59b].<br />
Reemerge [Tau98]. refinement [Man72e, Mas06, ZWZL06].<br />
Reform [Pic07]. Region [Hou95, BM93]. Regression [Man71b].<br />
regular [AS92, Van09]. Regularity [Man96b, DL92, JM96b].<br />
regulation [FP10]. Related [Man06c, CD93b, GM88, KV ˇ Z ˇ Z08, Man61i,<br />
Man85c, Man06b, Nov04, Yue10]. relatifs [DT89].<br />
Relation [EG94, GAMK81, GM83, dLKHS04, dLKHS06].<br />
relationship [Imr06, Man73c]. relationships [HRO02].<br />
relative [DT89, Man56b]. Relativity [Had88]. relaxation [LPZ08, VM95].<br />
relief [Man75i]. Remarques [Gui87]. rend [Ano10e]. Render [Hug98].<br />
Rendering [Man82a, Mil86, MKM89, SC88, Car96, Car99a, HD91, Mar10].<br />
renderings [Gin02]. Rendite [MH05a, MH08b]. René [Man61c].<br />
Renewal [Man72f]. Renormalization [Man99c, Vla94].<br />
renormalized [CMP07]. repartition [Man59f, Man59e, Man59f].<br />
Repellers [PS88b]. Reply [Sim61, TMJ06]. representation [AO97].<br />
Representations [Par89, Jon90b, Roj91]. Reproducing [Lin94].<br />
requests [BK03]. rescaled [MW69c]. Research [DK06, WC06].<br />
reshaping [CGH02]. resistance [Fro97]. resonators [KMNW99].<br />
resources [Man62d]. Responses [ABC + 94]. restoring [WCH03].<br />
Resulting [Man91c]. Results [Jaf97a, CK96]. retinal [Mai90].<br />
returns [GMV09]. Rev [EMW92a]. revenus [Man59e, Man59f].<br />
Review [Abb95, Ano93a, Are93, Bak00, Boy83, Bre79, Bri85, Bur84, Cam96,<br />
Can84, Cha84, CHR54, CC58, CB59, Dev92, Dys78, FR98, Fer83, Fri04,<br />
Gar91, GM61, Goo78, Goo84a, Goo84b, Goo91, Gru05, Hal96, Har90, How78,<br />
Ios79, Kac78, Kal03, Kil78, Kir79, Kir83, Kur90, Lan89, Lar90, Lee59, Lev05,<br />
Mag04, Man60e, Man60a, Man60b, Man60c, Man60d, Man61c, Man61b,<br />
Man61d, Man61e, Man61a, Man61k, Man61l, Man62a, Man63a, Man74e,<br />
Mir01, Mud02, Nat91, Pic07, Sch05, Spa84, Sto79, Swe91, Voj89, Vos79].<br />
Reviews [Liu06]. revisited [Man09c]. Revisiting [JSM06, TMJ06].<br />
27
Revue [CHR54].<br />
Reward [MH08a, MH04a, MH04b, MH05c, MH05a, MH05b, MH08b, MH09].<br />
RI [Fin89]. Richard [Ano05, Gru05]. Riemann [Lap08, Sla07].<br />
Rigor [Hir89]. ring [AS92, Man01a, Man02a]. Riseman [BR74b].<br />
Risiko [Ano05, MH05a, MH08b]. Risk [Man64d, MG98, MH08a, DDH10,<br />
Man97b, MH04a, MH04b, MH05c, MH05a, MH05b, MH08b, MH09, Mir01].<br />
risks [MT10]. risquer [MH05c, MH09]. Robert [Ano93a, Are93, Hal96,<br />
Lev05, Man61h, Man61k, Swe91, Ano93c, Man60d]. Robust [MT79].<br />
Robustness [MW69c]. rocks [Sah93]. Role [Man62c, FR92, Man95a].<br />
Romans [Est11]. Rood [Lev05]. Rosie [Ano91]. rough [BZ96].<br />
Roughness [Man06c, Man06b]. round<strong>of</strong>f [LKH97]. rugged [Cla86].<br />
Ruin [MH08a, MH04a, MH04b, MH05c, MH05a, MH05b, MH08b, MH09,<br />
Ano05, MH05a, MH08b]. Rule [Bar71, Man75i, Man85a, Mei92].<br />
rules [Cha11, Rar89]. run [Man69, MW69c, MW69a, MT79].<br />
Rupture [Hou95]. ruptures [GDC + 10]. Russian [Man61a].<br />
S [Sto79, Voj89]. S. [GM61, Man60e]. sa [Man56a]. sabbaticals [Win05].<br />
Sake [Man89c, Man89a, Man93b]. Salesman [PB89]. Salle [Man63a].<br />
sampled [TPVG06]. samples [DM73]. Samuel [Man61d, Man61l].<br />
San [ACM03, Bri85, Kir83, LvF04a, LvF04b, Sto79].<br />
sans [Man59b, Man78b]. Sarkozy [Ano10e]. SAT [STI99]. satellite [SSK93].<br />
Saupe [Abb95, Dev92, Goo91, Lan89, Nat91, Abb95, Nat91].<br />
scalars [Man75h]. Scale [LS92, San85, DL92, EPV95, Vor02].<br />
Scale-invariant [San85]. Scalebound [Man81b, Man07].<br />
Scales [Wil97, Jor12, Man81a]. Scaling [LL97, Man81b, MG98, Man01b,<br />
Man01c, Man07, MB94, Mir01, NYO94, WBE99, Bis95, Bra94, FPR92,<br />
HRO02, MSW08, Man78a, Man83c, Man97b]. scanning [WC06].<br />
Scattering [Jak84, GH98, SH92]. schemes [Hür95]. Schönheit [M + 85].<br />
School [Gar91]. Schröder [DAB99, Vrs86].<br />
Science [Caw89, Goo91, IEE03, Lan89, Man89c, PS88a, PJS92a, PJS92b,<br />
PJS93, Pic07, BDM + 88, Man89a, Man93b, Man95a, Man01a, PJS04a].<br />
Sciences [CHR54, Man61d, Man61l, Man81b, Man07, Man64b, Man67f,<br />
Man73a, Man01a, Man02a, SMR84]. scientist [ALW + 88, ALW + 88].<br />
Scott [Pic07, Fri04]. scratched [Shl05]. Script [Cla10a]. scriptum [Man61j].<br />
seacoasts [Man77d]. search [HS93, Lap08, RBM96, WW08].<br />
Seckler [Man62a]. second [PJS93, VBMS96, Bou09b]. sections [Mei92].<br />
Secular [MM70]. security [JT96b]. See [Ewi95]. Seeing [FdL10].<br />
segmentation [HKHP11, KCC89]. Seiten [Bri85, Kur90].<br />
Selecta [Man97b, Man99b, Man02d, Man04a]. <strong>Selected</strong> [Man04b, Bau96].<br />
Self [CR94, FP10, Jaf97b, LVEB09, Lin94, Man64e, Man65c, Man67b, Man70c,<br />
Man75f, Man83d, Man85g, Man86c, Man86d, Man86e, Man92b, Man93a,<br />
MF99, MKA02, Roo10, SAM93, YMK94, dVSC96, Baw11, Bra94, DV93,<br />
DHKT95, EM92, Ham95, HJ94, Kok94, Man65d, Man74d, Man76, Man75g,<br />
Man85a, MEH90, ME91, Man92a, Man99b, Man02d, Ano90, Man67d].<br />
28
Self-affine [Man85g, Man86c, Man86d, Man86e, Bra94, DV93, DHKT95].<br />
self-affinity [Man99b, Man02d]. Self-Contacting [MF99].<br />
Self-gravity [dVSC96]. self-homothetic [Man65d]. Self-inverse [Man83d].<br />
Self-Normalized [Man75f, Man76, Man75g]. Self-organization [FP10].<br />
self-organizing [Ham95]. Self-regulation [FP10].<br />
Self-Reproducing [Lin94]. Self-Similar [CR94, Jaf97b, Roo10, Man64e,<br />
EM92, HJ94, Man74d, MEH90, Man92a, Man67d].<br />
Self-Similarity [LVEB09, Man67b, MKA02, FP10, Man92b, Man93a,<br />
SAM93, YMK94, Baw11, Kok94, Man85a, ME91, Ano90]. Sens [Man61c].<br />
September [DLM99, RW89, VBMS96]. sequence [CZ98, Dev99, DM92].<br />
sequences [AS92, AvHP + 97, GMAK84, Man85f, MGAP85, Man86a, TE92].<br />
serial [MT79]. Series [Man61e, Bar73, Bar76, CCRR91, DR99, Man60d].<br />
ses [Man73c]. Session [LvF04a, LvF04b].<br />
Set [Ano87, Ano89b, Ano93c, Ate93, BH89, Bri88, Bur02, Chu11, Chu12,<br />
Dev91, Dew85b, Ewi95, FL91, For04, Gar91, GF95, Har90, Hoo91, Hor90a,<br />
Mag04, Mud02, PJS92e, Roo10, Sch05, Sch86, Shi98, Zak06, Car99a, Dev90,<br />
Dev96, Dev99, DK06, Dew87, Dew89, Eng93, Ent89, ES92, FR92, FPR92,<br />
FC00, Her05, IKP01, Jon90b, Man83c, Man84c, Man85a, Man85b, Man85d,<br />
Man04a, Mas05a, Met94, Old01, OdlCA02, PRÁM04, Phi92, PFR94, Rad96,<br />
Roj91, RP ÁM04, RPAM06, RAA+ 08, Sen90, Sta96, XRZ09, Abb95, Nat91,<br />
Ano93a, Are93, Hal96, Swe91]. Set-To [Hor90a].<br />
Sets [CR94, DAB99, Man61a, Shi98, Vrs86, ADR01, AK10, CM91, Cas96,<br />
CCC00, DSB96, DMT03, Fal85, Gai06, GH04, Gil86, Gin02, Man72f, Man79a,<br />
Man82d, Man83d, Man85e, Man85f, Man86c, Man86d, Man86e, MF09,<br />
MM08, OdlCA02, PSvH84, Sau87, WC06, yWjCnG07, KM65].<br />
Seventy [ALW + 88]. seventy-fifth [ALW + 88]. Seventy-five [ALW + 88].<br />
Seyfert [MC87]. Sfr [Kur90]. SFr98 [Voj89]. shading [KK90].<br />
shape [KK90, LPZ08, Man75i]. shaped [DT91].<br />
Shapes [Man81b, Man07, PJS04b, VC86]. sheets [Man84h]. Shield [WT10].<br />
Shift [Ate93, TW11]. shifts [SL97]. Short [Man09c]. Shortest [MF99].<br />
Shorth<strong>and</strong> [H.88]. Show [RW89]. shower [Ohn90]. SIAM [DK06].<br />
sided [MEH90, Man90b]. Siegel [Man85f].<br />
Sierpinski [BB99, GASM84, Maj98, NWM + 06].<br />
SIGGRAPH [GMA + 98, RW89]. sigma [Man82d, Man83d].<br />
sigma-discs [Man83d]. sign [FBVdlN99]. signal [DR99].<br />
signals [HWEH05]. Significant [EKKR06]. silicate [FSD89].<br />
Similar [CR94, Jaf97b, Roo10, EM92, HJ94, Man64e, Man65c, Man74d,<br />
MEH90, Man92a, Man67d].<br />
Similarity [HCF95, LVEB09, Man67b, Man70c, MKA02, Baw11, FP10,<br />
Kok94, Man85a, ME91, Man92b, Man93a, SAM93, YMK94, Ano90].<br />
Simon [Man59d, Man61g].<br />
Simple [Man54b, PJS92c, YJ09, BSV92, JH97, Man01d, Man03d].<br />
simplifying [Sta96]. simulated [Sah93].<br />
simulation [CGC + 09, CMP07, DLS93, MC02, NCS04, SW92, YJ09].<br />
29
simulations [NYO94, Lan97]. since [Man99c]. Single [GM64].<br />
singularités [Man76a]. singularities [Man76a, Man84a].<br />
singularity [TPVG06]. Sixth [PT86].<br />
Size [EKKR06, Hou95, HRO02, Sig96]. Skew [Sim55, Man59d, Man61g].<br />
Skewed [FMS96, HJ94]. slow [Man66d, Man73b]. slurries [VOL + 86].<br />
small [EMW92a, EMW92b]. Smooth [BH89, CD93a, Man85e].<br />
Snell [Man60b]. Snowbird [DK06]. soap [Man77d].<br />
Social [Man61d, Man61l]. sociales [Man67f].<br />
Society [LvF04a, LvF04b, Man02b]. s<strong>of</strong>t [MC02].<br />
S<strong>of</strong>tware [VMH + 83, JH97]. S<strong>of</strong>tware-Cache [VMH + 83]. soi [Man65d].<br />
Solid [Lew89, CGC + 09, Gro92]. solids [Dav95]. Solomon [Man63a].<br />
Solution [Liu95b, Pro95, Wu95, AGP81, CM91, HCF95, SL97].<br />
Solutions [BR76, BR74b, BC80, Gui87, Liu95a, Mac08, RB79].<br />
Solvable [GAMK81]. solving [CT91, YHHS93]. somatosensory [HWEH05].<br />
Some [DSS90, Man49, Man67a, Man67g, Man68, MW69a, Man89f, Man00,<br />
MF02, Zha09, AST07, Hoo91, Man74b, Man84h, Sir97, BBB + 10].<br />
Soviet [Man63a]. Space [GT07, AG06, BB76, LKH97, Woo94].<br />
space-time [AG06]. Spacefilling [PB89]. spaces [Jaf98, Man61a].<br />
spacetimes [Lap08]. Spain [DLM99]. Spanish [Man97c]. spatial [EG94].<br />
speaks [Win05]. Special [DrKP10, LvF04a, LvF04b]. species [Man56b].<br />
specific [CGC + 09]. specification [Bra94]. SPECT [OMK + 05].<br />
spectra [Man69, Man95a, TPVG06].<br />
spectral [Man67d, Man76b, Man84b, MC87].<br />
Spectrum [ME72, dSVTM99, Man67a]. spéculatifs [Man62e].<br />
Speculative [Man63e, Man63f, Man67g, Man72c, Man62e, Man73d].<br />
Speech [VC75, Man67c]. speed [BE95a]. Speeding [BE95b].<br />
Sphere [Ley05, Man75e, Man75e]. spheres [MSLG00].<br />
Spike [GM64, FPR92]. spiral [RPAM06, RAA + 08]. spirals [KV ˇ Z ˇ Z08].<br />
Splines [ST89]. Sporadic [Man67d, Man67e]. Spot [vW91].<br />
square [Sau96a]. Squig [Man84d, Man84h].<br />
Stable [CGMST95, Fam63, Man61m, Man63d, Man60g, Man62e, PC06].<br />
stables [Man62e]. St<strong>and</strong>ards [SMR84]. st<strong>and</strong>still [Bal10].<br />
Stanford [Man61d, Man61l]. star [Man01c]. State [LKH97].<br />
State-space [LKH97]. statement [Gin02]. stationarity [Man65c, Man76c].<br />
stationary [Man60g]. stationnaires [Man60g].<br />
Statistical [Hür95, Man53b, Man59a, Man63b, Man63c, Man64c, Man70b,<br />
Man70c, Man72b, Man09c, JTEA91, Man56c, Man56d, Man64a, MW69c,<br />
Man78a, Suz91, Man57c, Man60c, Man67b].<br />
Statistics [Man61b, Man62d, BM97, Vla94, Man60d]. statistique [Man57c].<br />
step [CM91]. Stewart [Lev05]. stick [Rar89].<br />
Stieltjes [Man60e, Bar73, Bar76, BR78]. still [HS93]. sting [SS00].<br />
Stochastic [BBBH92, Lew87, Man75i, Man82a, Man01d, Vla94, Man65d,<br />
Man73d, Man60g]. stochastics [Man59e, Man59f].<br />
stochastiques [Man59e, Man59f, Man60g, Man65d].<br />
30
Stock [MT67, Man68, Mas05a, Mas05b]. Stone [Miy90]. stories [Man75c].<br />
Strahler [YM94]. Strange [GOY87]. Stratege [Man57a, CHR54].<br />
strategic [PJS99]. stratégie [Man52c]. strategist [Man57a].<br />
strategy [Man52c, Man54b]. stream [KFN00, WWGF05]. Street [Man99a].<br />
stress [Man57b, Man75h]. strings [Lap08].<br />
Strongly [Man75f, Man76, Man75g]. Structural [DV93].<br />
Structure [EKKR06, LS92, Man53b, Man54a, Man54c, TTMB96, BBM79,<br />
DKW94a, HKS + 05, KLPS06, Mad87, Man56c, Man83c, Man84a, WC06,<br />
YMK94, dVSC96, CHR54]. Structure-based [TTMB96].<br />
Structures [RHD + 06, FBVdlN99, GM84a, GM88, Hoo91, Man84a].<br />
structuring [KH92]. studies [Man54a, Man54c].<br />
Study [BBBH92, Man60e, Vrs86, AO97, TPVG06]. subarachnoid [SCC + 07].<br />
Subdivision [Lew87]. subordinated [Man73d]. subsets [Sir97].<br />
substitutions [DT89, Fat17b, Fat17a]. such [Cam87, Sch87].<br />
Sudhist [Man61b]. Sufficiency [Man62c]. Sum [Bar71]. Summary [Liu06].<br />
Summer [DK06]. Sums [CGMST95, Man03c, Man95d]. super [WGKS12].<br />
super-extreme [WGKS12]. Supercomputer [DLS93, Cia88a, Cia88b].<br />
superconductivity [Zaa10]. Suppes [Man61d, Man61l].<br />
Supplement [Man60e]. support [dACSS12].<br />
Surface [Man06c, BZ96, BRRK94, KK90, KH92, Man86d, Man06b, Shl05].<br />
Surfaces [LL97, SC88, Wu95, AFP84, BBB + 03, Dub89, LR85, Man75h,<br />
MP84, MPP84, Wai88]. surgery [KNBZ12]. Survey [Man99d].<br />
surveys [Ano90]. symmetries [LO96]. Symmetry [Pen88, VJ06, CCC00].<br />
symphony [VM98].<br />
Symposium [ACM03, Ano95, IEE03, KK93, PT86, SMR84, Man61d, Man61l].<br />
syndrome [Man73b, Man73c]. Synthesis [BB90, BJM + 88, Lew89, Man06c,<br />
MKM89, ABC + 94, Hor90b, Man06b, vW91].<br />
System [Esp97, Bra94, CP98, JH97, Mac08, Man56a, WY96, Zha09, Pic94].<br />
system-based [WY96]. Systeme [PR84b, Man56a, M + 85, PR84a].<br />
Systémes [DT89]. systemic [MM08].<br />
Systems [Abb95, Adl12, BHI11, DHN85, Nat91, PJS92e, Pen88, AO97,<br />
AO01, ADdM + 12, BA78, BV11, Cor90, CK93, DdMdO + 99, G<strong>of</strong>91, GV89,<br />
GM88, Man56c, Man65c, Man93c, MC02, NM09, OdlCA02, PR84a, PR84b,<br />
Van09, VM95, dVdRL93, Ano89a, DT89, Esp97, HWM87, WSM88].<br />
Szilard [Man65b].<br />
t [CHR54, Ste98]. Tab [Voj89]. tables [Man61e]. Tac [Ste00a, Ste00b].<br />
Taches [Lef82]. Tail [MDM02, SS00]. tailed [Rac03].<br />
tails [DrKP10, Man03a, Man09c, Man01b]. Takagi [Dub89]. Tallinn [KK93].<br />
tampered [WCH03]. Tan [Mud02]. tant [CHR54]. target [EW96].<br />
tasks [Lef82]. taxonomy [Man56c]. TCP [GK03, VHA05]. TCP/<br />
IP [VHA05]. teaching [G<strong>of</strong>91].<br />
Techniques [Kaj83a, Kaj83b, ZT96, ADR01, CD93b, Kel00, WC06, Woo94].<br />
Telephone [BM63]. Temperature [Man89g, Man56a, Man70a, Zaa10].<br />
31
temporal [Man75b]. Temporally [MB94]. temporelles [Man75b].<br />
Tenenbaum [Man60e]. Teoria [Man60h].<br />
Terms [Man71b, Bar75, BB76, CGH02].<br />
Terrain [Mil86, DKW94a, KH92, LPZ08, Pum96]. Terrains [MKM89].<br />
ters [Man65c]. test [Man93a, MF09, SAM93]. Tests [DM73].<br />
Text [Man61a, BP84, Man54a, Man54c]. Textbook [Man61e].<br />
textes [CHR54, Man54a, Man54c]. texts [Man60d].<br />
Texture [KCC89, Man79a, MS94, vW91]. textures [FSD89].<br />
theéories [CHR54]. Their [Tsu08, AO97, BB79, FM02a, Man59c, MGAP85,<br />
Man86a, Man86e, Man91a, Man95a, Sau87]. Theme [Mud02].<br />
Theorem [Man75f, Man55b, Mas05a]. théorème [Man55b].<br />
Theorems [LR00, Man76, Man75g].<br />
Theoretical [Bau96, ABC + 94, Bau05, Smi91, ABC + 94].<br />
Theorie [Man61c, PR84a, PR84b, Man55b, Man57c, M + 85, AMM57,<br />
AMM74, CC58, Lee59, Man52a, Man53a]. theories [Man57a, Suz91].<br />
Theory [ACM03, CR94, FV95, Man53b, Man61c, Man62a, Man74e, Mir90,<br />
AG06, Cas96, DDH10, EB73, KNBZ12, dLKHS06, Liu93, Man49, Man52a,<br />
Man53a, Man56c, Man56d, Man57c, Man61i, Man65a, Man66b, Man66c,<br />
Mas05a, MC02, PR84a, PR84b, Suz91, ZWZL06, Man55b, Man60c].<br />
there [Cam87, Sch87]. thermo [Man56c]. thermo-statistical [Man56c].<br />
Thermodynamic [Man91c].<br />
Thermodynamics [Man62c, Man64c, Man56d, Man57c, dSVTM99].<br />
thermodynamique [Man57c]. thing [Cam87, Sch87].<br />
Thinking [Nov04, SBvB + 12]. Third [NFT + 01, BDLS96].<br />
Third-order [NFT + 01]. Thirty [ACM03]. Thirty-Fifth [ACM03].<br />
Thomas [Man74e]. those [MT10]. Three [Jon90b, VJ06].<br />
three-dimensional [VJ06]. Tic [Ste00a, Ste00b].<br />
Tic-Tac-Toe [Ste00a, Ste00b]. tiles [Dek12]. Tilings [Roo10].<br />
Time [GH98, GT07, RHD + 06, AG06, CB97, CCRR91, DR99, MJ97, Mar10,<br />
MC87, NIS + 03a, NIS + 03b, NM09, NG03, RVA00, WGKS12].<br />
Time-dependent [GH98]. time-independent [NM09]. Tjon [BC80].<br />
Toe [Ste00a, Ste00b]. Token [Man61e].<br />
tool [G<strong>of</strong>91, GBR + 09, GFB + 10, Kau92]. Tools [Lef82, Man05a].<br />
Topics [Man01e, Man85c, Man04b]. topological [AK10]. topology [G<strong>of</strong>91].<br />
total [Man56a]. totale [Man56a]. Tour [Ano89b, Dew89].<br />
tourbillons [Man75c]. Tracing [Kaj83a, Kaj83b, HSK89]. Tracts [GM61].<br />
Traffic [BK02, Liu06, MDM02, KLPS06, TG09, VHA05]. trajectory [Far11].<br />
transfer [DLS93, MGAP85, VM95].<br />
Transform [BHI11, FSR94, WW08, ZY94]. transformation [EPV95].<br />
Transformations [BB10, NR95, PJS92c].<br />
Transforms [LVEB09, FV95, Hür93, WM94]. transistor [Fro97].<br />
transit [NIS + 03a, NIS + 03b].<br />
Transition [Ano93c, Dev90, BR75, BRRK94, Ano93a, Are93, Swe91].<br />
transitions [GAM83, GASM84, GAM84].<br />
32
Translated [Man60e, Man61a, Man62a].<br />
transmission [Man51a, Man51b, Man55b]. Transparent [AST07].<br />
Transport [Pen88, GM84a, KFN00]. trap [Car99a]. traps [Ye02].<br />
Travelling [PB89]. travers [Man01a]. Traversed [GBCK93].<br />
Tree [Dre01, MF99, Dev99, EM92]. Tree-based [Dre01].<br />
Trees [VEJA89, CMP07, Gon98, Man78c, Pro97, TSS85, YM94].<br />
trémas [Man79a]. Trend [Sel10]. tribute [Bou11]. Trieste [PT86].<br />
trinomial [DM92]. trisection [YJ09]. Trondheim [Fis95]. Tsallis [MV02].<br />
tumorous [RPS + 06]. tunable [Vor02]. Turbocharging [Pou86].<br />
turbomachines [Man49]. Turbulence [Man67e, Kah74, Man72e, Man74d,<br />
Man75h, Man75c, Man76a, Man76b, Man77a, Man77c, Man77d, SW92].<br />
turbulent [CMP07]. Turin [CMR06]. tutorial [Gon98, Maj98, Roj91].<br />
twenty [DK06, VBMS96]. twenty-five [DK06]. twenty-second [VBMS96].<br />
Two [Abb95, BR76, BR78, Car99a, DL92, Dav95, Fra98, Man63d, Man90c,<br />
MKA02, Nat91, PJS92e, SS89, Bar76, BA78, Man54a, Man54c].<br />
two-center [BA78]. Two-Point [BR76]. Two-scale [DL92].<br />
Two-Variable [BR78]. type [BR74a, Man61e]. types [Man56b].<br />
u.a. [PR84b]. U.S [Kir79, SMR84]. Ulam [GM61]. Ultrafractal [Sin07].<br />
Ultraviolet [WT10]. Unavoidable [Man89g]. Unbiased [Man66a].<br />
unconventional [Jon90b]. underst<strong>and</strong>ing [KRP + 91]. unicité [Man59c].<br />
unicity [Man84d]. Uniform [BJM10b, MJ97]. unique [Man65b, Man84c].<br />
units [BP84]. Universal [SCNT03]. Universality [NM09].<br />
Universe [Cla10b, Lin94, Mar99, Man75a, Man75e, Man79a, Mad87].<br />
University [Fri04, Har90, Man60e, Man60a]. unknowable [DDH10].<br />
unknown [DDH10, Man61a]. unknowns [CT91]. unsmooth [Far11].<br />
Unstable [MB94, KMNW99]. Upon [Man89f]. upscaling [PC06].<br />
USA [ACM03, IEE95]. Use [Lef82, FP89, GMMA83]. used [dLKHS06].<br />
Useful [Man81b, Man07]. User [DLM99, CGC + 09].<br />
user-interactive [CGC + 09]. uses [FM02a].<br />
Using [BHI11, Cas96, FMS96, VBM98, ADR01, Bou09a, GMV09, Imr06,<br />
JM96a, KM11, Lan97, Liu95a, MC02, NCS04, OMK + 05, Par89, Pum96,<br />
SSK93, UH96, Vor02, Woo94, ZT96, ZY94]. Uspekhi [Man61a].<br />
Utah [DK06]. utilized [WC06].<br />
V [Man60d, Man62a, Man77c, Man85d]. Valid [Jaf97a].<br />
Validity [Fra07, Man71c]. Valuations [Fer95]. Value [BR76].<br />
Valued [LVEB09]. values [GMV09, Man89b]. valve [PM94].<br />
Vamping [Sin07].<br />
Variability [EMW92a, EMW92b, SCC + 07, VBM98, MC87].<br />
Variable [BR78, BEHM89]. Variables [Man59e, Man59f].<br />
variance [Man73d, Man73c]. variances [Man69].<br />
Variation [Man61m, Man63e, Man63f, Man67g, Man72c, Man66d].<br />
Variational [BR75, BR74a, EB73]. Variations [Mud02]. varying [HRO02].<br />
33
Vascular [RHD + 06]. Vasculature [HKE01]. Vector [GT07, HMS96a].<br />
vegetation [MLDW85]. velocity [SCC + 07]. Vence [AF90].<br />
Ventricles [HLTP01]. verborgene [Man08]. Verhaltenstheorien [Man57a].<br />
verification [Man67f]. Verlag [Kur90, Man61a, Voj89]. version [GFB + 10].<br />
versus [Man09c]. verticillata [ME72]. Verw [Man76].<br />
Verwaltungsgebäude [PR84b]. Very [Man70c, VBMS96, YMK94].<br />
vessels [Mai90]. VGA [FP89]. VI [Man85e]. via [GDH96].<br />
View [MH08a, MH04a, MH04b, MH05b]. VII [Man85f].<br />
viii [Man60b, Man84g]. vindication [Kir11]. virtual [BDLS96, DLM99].<br />
Viscous [Rob85, San85, Ghi86, NDS85, VOL + 86]. Vision [Dev04, HCF95].<br />
Visual [GBR + 09, Man81b, Man07, SW92, GFB + 10].<br />
visualisation [DMT03]. Visualization [Pic94, Maj98, vW91].<br />
Visualizing [ADR01, XX07]. voids [Gai06]. vol [CHR54].<br />
volatility [Man01d]. Volume [Man97b, Man99b, Man02d, Man04a, DrKP10].<br />
volumetric [NG03]. Volumetry [HLTP01]. vom [PR84b].<br />
Voss [Goo91, Lan89]. VQ [HMS96b]. VQ-enhanced [HMS96b]. vs [MT10].<br />
W [Kir79, Kir83, Man61a, Sto79]. Wahrscheinlichkeitstheorie [Man76].<br />
Walk [GM64, Man71c, Man99a, WGKS12, Bra94, Man68, Man93a, SAM93].<br />
Walks [Man64d, Man78b]. Wall [Miy90, Man99a]. warning [Mad86].<br />
Warped [PFR94]. Washington [IEE95]. Wassily [Man61b].<br />
watermarking [KM11]. Wave [dVdRL93]. Waveform [Pic86].<br />
waveforms [PU08]. Wavelet [Man96b, CD93a, JM96b].<br />
wavelets [Bou09a, FSR94]. waves [Bai97]. Way [Adl12, BS88, TE92].<br />
Weakly [Man75f, Man76, Man75g]. weather [SSK93]. Web [FP10, BK03].<br />
Webster [Pic07]. Weeks [VBM98].<br />
Weierstrass [AB85, BL80, Lan97, WGKS12].<br />
weighted [Man74a, Man74b, Set92]. Well [Man89g].<br />
Well-Defined [Man89g]. Werkzeug [Kau92]. which [Man61a].<br />
White [Gar78, Man67a]. whose [BH89, Fra98]. wild [MT10, Man99b].<br />
Wiley [Man60c]. Will [Lev05]. William [Man61b].<br />
Willis [Man56b, Man56c]. Win [Ano93b]. Windows [Esp97].<br />
Wissenschaften [Man61a]. without [Man59b]. witness [Bal10].<br />
Wobble [MM70]. Wolf [Ano93b, Man02c].<br />
word [CHR54, DM73, Egg99, Man61i]. wordbook [FM02a].<br />
wordbook-index [FM02a]. words [Sta96]. Work [Fri04, Mea89].<br />
works [Man86a]. workstation [UH96].<br />
world [Bai97, Bar88b, Bar93a, Hir94, Oli91]. written [DM73]. Wu [BC80].<br />
WWW [BK02].<br />
x [Man60d, Pe04, Kur90, MC87, Voj89]. X-ray [MC87]. Xeometría [Dur78].<br />
xv [Pic07].<br />
Yale [KM89a]. years [DK06]. Yekutieli [Pro95, Pro97].<br />
34
REFERENCES 35<br />
York [GM61, Man60e, Man60b, Man61e, Man62a, Man60d]. Yule [Man56b].<br />
Z. [Man76]. zahlreiche [Voj89]. Zahlten [Dev92]. zeros [Lap08, Sla07].<br />
Zewail [Ano93b]. Zipf [Fai69, Fai05, Man57c, BP84, Cha11, CL87, Dev57,<br />
Egg99, Gai06, GMV09, Izs06, dLKHS04, dLKHS06, Lef82, Man57c, Mas05a,<br />
Mas05b, Mas06, Orl70, Orl76, TW11]. Zooming [Pum96]. zooms [Dew85a].<br />
zur [Man61a]. zwischen [Ano05, MH05a, MH08b].<br />
References<br />
Asikainen:2003:FGC<br />
[AAM + 03] J. Asikainen, A. Aharony, B. B. M<strong>and</strong>elbrot, E. Rausch, <strong>and</strong> J.-P.<br />
Hovi. Fractal geometry <strong>of</strong> critical Potts clusters. European Physical<br />
Journal B: Condensed Matter <strong>and</strong> Complex Systems, 34(4):<br />
479–487, ???? 2003. CODEN EPJBFY. ISSN 1434-6028 (print),<br />
1434-6036 (electronic). URL http://www.springerlink.com/<br />
content/x3m42hyyg2rt88qd/.<br />
Ausloos:1985:MWM<br />
[AB85] M. Ausloos <strong>and</strong> D. H. Berman. A multivariate Weierstrass–<br />
M<strong>and</strong>elbrot function. Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London.<br />
Series A, Mathematical <strong>and</strong> physical sciences, 400(1819):<br />
331–350, August 8, 1985. CODEN PRLAAZ. ISSN 0080-4630.<br />
URL http://www.jstor.org/stable/2397968.<br />
Abbott:1995:RBC<br />
[Abb95] Steve Abbott. Review: Fractals for the Classroom. Part One: Introduction<br />
to Fractals <strong>and</strong> Chaos <strong>by</strong> H. O. Peitgen, H. Jürgens,<br />
D. Saupe; Fractals for the Classroom. Part Two: Complex Systems<br />
<strong>and</strong> M<strong>and</strong>elbrot Set <strong>by</strong> H. O. Peitgen, H. Jürgens, D. Saupe.<br />
Mathematical Gazette, 79(484):200, March 1995. CODEN MA-<br />
GAAS. ISSN 0025-5572. URL http://www.jstor.org/stable/<br />
3620080.<br />
Atiyah:1994:RBM<br />
[ABC + 94] Michael Atiyah, Arm<strong>and</strong> Borel, G. J. Chaitin, Daniel Friedan,<br />
James Glimm, et al. Responses to Theoretical mathematics: toward<br />
a cultural synthesis <strong>of</strong> mathematics <strong>and</strong> theoretical physics,<br />
<strong>by</strong> A. Jaffe <strong>and</strong> F. Quinn. Bulletin <strong>of</strong> the American Mathematical<br />
Society, 30(??):178–207, ???? 1994. CODEN BAMOAD. ISSN<br />
0002-9904 (print), 1936-881X (electronic).
REFERENCES 36<br />
Avnir:1998:GNF<br />
[ABLM98] David Avnir, Ofer Biham, Daniel Lidar, <strong>and</strong> Ofer Malcai. Is the<br />
geometry <strong>of</strong> nature fractal? Science, 279(5347):39–40, January<br />
2, 1998. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/279/<br />
5347/39.full.<br />
ACM:2003:PTF<br />
[ACM03] ACM, editor. Proceedings <strong>of</strong> the Thirty-Fifth ACM Symposium<br />
on Theory <strong>of</strong> Computing, San Diego, CA, USA, June 9–11, 2003.<br />
ACM Press, New York, NY 10036, USA, 2003. ISBN 1-58113-<br />
674-9. LCCN QA75.5 .A22 2003. ACM order number 508030.<br />
Avellar:2012:NPN<br />
[ADdM + 12] J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota, N. de Melo,<br />
<strong>and</strong> J. E. F. Skea. The Ndynamics package — numerical analysis<br />
<strong>of</strong> dynamical systems <strong>and</strong> the fractal dimension <strong>of</strong> boundaries.<br />
Computer Physics Communications, 183(9):2019–2020, September<br />
2012. CODEN CPHCBZ. ISSN 0010-4655 (print), 1879-2944<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0010465512001294.<br />
Adler:2012:FOB<br />
[Adl12] Paulo Adler. Fractals <strong>of</strong>fer a better way to manage complex<br />
systems. Research & Development, November 12, 2012.<br />
CODEN REDEEA. ISSN 0746-9179. URL http://www.<br />
rdmag.com/articles/2012/11/fractals-<strong>of</strong>fer-better-waymanage-complex-systems.<br />
Allis:2001:VPS<br />
[ADR01] Ned W. Allis, Jeffrey P. Dumont, <strong>and</strong> Clifford A. Reiter. Visualizing<br />
point sets, fractals, <strong>and</strong> quasicrystals using raster techniques.<br />
Computers <strong>and</strong> Graphics, 25(3):519–527, June 2001.<br />
CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.nl/gej-ng/10/13/20/57/<br />
32/40/abstract.html; http://www.elsevier.nl/gej-ng/<br />
10/13/20/57/32/40/article.pdf.<br />
Aharony:1990:FPE<br />
[AF90] Amnon Aharony <strong>and</strong> Jens Feder, editors. Fractals in physics:<br />
essays in honour <strong>of</strong> Benoît B. M<strong>and</strong>elbrot: proceedings <strong>of</strong> the<br />
international conference honouring Benoît B. M<strong>and</strong>elbrot on his
REFERENCES 37<br />
65th birthday, Vence, France, 1–4 October, 1989. North-Holl<strong>and</strong><br />
Publishing Co., Amsterdam, The Netherl<strong>and</strong>s, 1990. ISBN 0-444-<br />
88646-X (U.S.). LCCN QC20.7.G44 F73 1990.<br />
Avnir:1984:MFS<br />
[AFP84] David Avnir, Dina Farin, <strong>and</strong> Peter Pfeifer. Molecular fractal<br />
surfaces. Nature, 308(5956):261–263, March 15, 1984. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v308/<br />
n5956/pdf/308261a0.pdf.<br />
Agop:2006:GTF<br />
[AG06] M. Agop <strong>and</strong> I. Gottlieb. Gravitation theory in a fractal spacetime.<br />
Journal <strong>of</strong> Mathematical Physics, 47(5):053503, May 2006.<br />
CODEN JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic),<br />
1527-2427. URL http://jmp.aip.org/resource/1/<br />
jmapaq/v47/i5/p053503_s1.<br />
Aharony:1981:PCP<br />
[AGMK81] A. Aharony, Y. Gefen, B. M<strong>and</strong>elbrot, <strong>and</strong> S. Kirkpatrick.<br />
Percolation, critical phenomena <strong>and</strong> fractals. Disordered Systems<br />
<strong>and</strong> Localization, 11(3):56–58, ???? 1981. CODEN ????<br />
ISSN ???? URL http://www.springerlink.com/content/<br />
yq56048um078t851/.<br />
Allgower:1981:NSN<br />
[AGP81] E. L. (Eugene L.) Allgower, Klaus Glash<strong>of</strong>f, <strong>and</strong> Heinz-Otto Peitgen,<br />
editors. Numerical solution <strong>of</strong> nonlinear equations: proceedings,<br />
Bremen, 1980, volume 878 <strong>of</strong> Lecture notes in mathematics.<br />
Springer-Verlag, Berlin, Germany / Heidelberg, Germany / London,<br />
UK / etc., 1981. ISBN 0-387-10871-8. LCCN QA3 .L471<br />
no.878; QA3.L471.<br />
Aharony:1986:F<br />
[Aha86] Amnon Aharony. Fractals. Science, 232(4752):891–892, May<br />
16, 1986. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/232/<br />
4752/891.1.full.pdf.<br />
Andreadis:2010:TCPa<br />
[AK10] Ioannis Andreadis <strong>and</strong> Theodoros E. Karakasidis. On a topological<br />
closeness <strong>of</strong> perturbed M<strong>and</strong>elbrot sets. Applied Mathematics
REFERENCES 38<br />
<strong>and</strong> Computation, 215(10):3674–3683, January 15, 2010. CO-<br />
DEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300309009801.<br />
Alderton:2007:CDF<br />
[Ald07] Gemma K. Alderton. Cell division: Fractal cycling. Nature<br />
Reviews Molecular Cell Biology, 8(11):850–851, November 2007.<br />
CODEN ???? ISSN ???? URL http://www.nature.com/nrm/<br />
journal/v8/n11/full/nrm2284.html.<br />
Allen:1990:POA<br />
[All90] Norton T. Allen. A pixel ordering algorithm. Dr. Dobb’s Journal<br />
<strong>of</strong> S<strong>of</strong>tware Tools, 15(6):56–61, 116–117, June 1990. CODEN<br />
DDJOEB. ISSN 1044-789X.<br />
Arnheim:1988:SFR<br />
[ALW + 88] Rudolf Arnheim, Thomas E. Lovejoy, David Gordon Wilson,<br />
Freeman Dyson, Jane Goodall, Ian Shelton, Kenneth H. Olsen,<br />
Irene C. Peden, Richard W. Hamming, Thomas Eisner, Preston<br />
Cloud, Matt Cartmill, Samuel C. Florman, Jeremy Bernstein,<br />
George A. Miller, Robert M. May, G. Evelyn Hutchinson,<br />
Jerome Bruner, Priscilla C. Grew, William Bevan, Elisabeth S.<br />
Vrba, Myrdene Anderson, Kevin Padian, Harry Shipman, Victor<br />
F. Weisskopf, Walter A. Hill, Patricia D. Moehlman, Melvin<br />
Kranzberg, Malak Kotb, Raymond Kurzweil, Marcia McNutt,<br />
Masakazu Konishi, Miriam Rothschild, Edward Teller, Alison<br />
Jolly, H. Jane Brockmann, Keith Stewart Thomson, Peter J. Denning,<br />
Benoît B. M<strong>and</strong>elbrot, Abraham Pais, Paul MacCready,<br />
Kip S. Thorne, Ruth Sager, Gerald J. Wasserburg, Neal E.<br />
Miller, Rita Levi-Montalcini, Stephen Jay Gould, Edwin H. L<strong>and</strong>,<br />
Michel Boudart, Anne Kernan, Douglas R. H<strong>of</strong>stadter, Rosalyn S.<br />
Yalow, Bruce H. Tiffney, Mimi Koehl, Walter E. Massey, David P.<br />
Billington, John A. W. Kirsch, Abner Shimony, J. Donald Fernie,<br />
Brian J. Skinner, Lynn Margulis, Sheldon Lee Glashow, Michael<br />
LaBarbera, J. Tuzo Wilson, E. R. Ward Neale, Rudolf Peierls,<br />
Roald H<strong>of</strong>fmann, Mary L. Good, Donald R. Griffin, Vaclav Smil,<br />
Michael S. Turner, Sarah Ann Woodin, Luis Alvarez, George A.<br />
Bartholomew, <strong>and</strong> George B. Schaller. Seventy-five reasons to become<br />
a scientist: American Scientist celebrates its seventy-fifth<br />
anniversary. American Scientist, 76(5):450–463, September 1988.<br />
CODEN AMSCAC. ISSN 0003-0996 (print), 1545-2786 (electronic).<br />
URL http://www.jstor.org/stable/27855384.
REFERENCES 39<br />
Apostel:1957:LLT<br />
[AMM57] Leo Apostel, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Albert Morf. Logique,<br />
langage et théorie de l’information. Presses Universitaires de<br />
France, Paris, France, 1957. 207 pp. LCCN BC199.E7 A6.<br />
Apostel:1974:LLT<br />
[AMM74] Leo Apostel, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Albert Morf. Logique,<br />
langage et théorie de l’information. Kraus reprint, Nendeln,<br />
Liechtenstein, 1974. vi + 207 pp. LCCN ????<br />
Andrew:2011:OBM<br />
[And11] Alex M. Andrew. Obituary: Benoît M<strong>and</strong>elbrot: 20 November<br />
1924–14 October 2010. Kybernetes, 40(1–2):??, ???? 2011.<br />
CODEN KBNTA3. ISSN 0368-492X (print), 1758-7883 (electronic).<br />
URL http://en.wikipedia.org/wiki/ernst_von_<br />
glasersfeld; http://www.boston.com/news/world/europe/<br />
articles/2010/11/12/intellectual_ernst_von_glasersf;<br />
http://www.emeraldinsight.com/journals.htm?issn=0368-<br />
492X&volume=40&issue=1/2&articleid=1921825; http://<br />
www.guardian.co.uk/science/2010/oct/17/benoit-m<strong>and</strong>elbrotobituary;<br />
http://www.math.yale.edu/m<strong>and</strong>elbrot/; http:<br />
//www.telegraph.co.uk/news/obituaries/science-obituaries/<br />
8069558/benoit-m<strong>and</strong>elbrot.html.<br />
Anonymous:1987:BPM<br />
[Ano87] Anonymous. Beauty <strong>and</strong> pr<strong>of</strong>undity: The M<strong>and</strong>elbrot set <strong>and</strong> a<br />
flock <strong>of</strong> its cousins called Julia. Scientific American, 257(5):118–<br />
??, November 1987. CODEN SCAMAC. ISSN 0036-8733 (print),<br />
1946-7087 (electronic).<br />
Anonymous:1988:MM<br />
[Ano88] Anonymous. M<strong>and</strong>elbrot magic. Left Coast S<strong>of</strong>tware, Cupertino,<br />
CA, USA, version 3.1 edition, 1988. LCCN QA614.86 .M36 1989.<br />
One computer disk.<br />
Anonymous:1989:CAC<br />
[Ano89a] Anonymous. Conference on Arithmetics <strong>and</strong> Coding Systems.<br />
Theoretical Computer Science, 65(2):??, June 28, 1989. CODEN<br />
TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).
REFERENCES 40<br />
Anonymous:1989:TMS<br />
[Ano89b] Anonymous. A tour <strong>of</strong> the M<strong>and</strong>elbrot set aboard the M<strong>and</strong>elbus.<br />
Scientific American, 260(2):88–??, February 1989. CODEN<br />
SCAMAC. ISSN 0036-8733 (print), 1946-7087 (electronic).<br />
Anonymous:1990:DSS<br />
[Ano90] Anonymous. In darkest Self-Similarity: Hugh Kenner surveys the<br />
literature on fractals. BYTE Magazine, 15(6):382–??, June 1990.<br />
CODEN BYTEDJ. ISSN 0360-5280.<br />
Anonymous:1991:RPK<br />
[Ano91] Anonymous. Up from Rosie: Pr<strong>of</strong>essor Kenner examines a new<br />
book <strong>of</strong> essays <strong>about</strong> fractals <strong>and</strong> chaos. BYTE Magazine, 16(5):<br />
386–??, May 1991. CODEN BYTEDJ. ISSN 0360-5280.<br />
Anonymous:1993:BRB<br />
[Ano93a] Anonymous. Book review: Transition to Chaos: The Orbit Diagram<br />
<strong>and</strong> the M<strong>and</strong>elbrot Set, <strong>by</strong> Robert L. Devaney <strong>and</strong> Hassan<br />
Aref. SIAM Review, 35(2):308–??, June 1993. CODEN SIREAD.<br />
ISSN 0036-1445 (print), 1095-7200 (electronic).<br />
Anonymous:1993:MZW<br />
[Ano93b] Anonymous. M<strong>and</strong>elbrot <strong>and</strong> Zewail win 1993 Wolf Prizes in<br />
Physics, Chemistry. Physics Today, 46(6):109–??, June 1993. CO-<br />
DEN PHTOAD. ISSN 0031-9228 (print), 1945-0699 (electronic).<br />
URL http://link.aip.org/link/phtoad/v46/i6/p109/s1.<br />
Anonymous:1993:TCO<br />
[Ano93c] Anonymous. Transition to chaos: The orbit diagram <strong>and</strong> the<br />
M<strong>and</strong>elbrot set, with Robert L. Devaney <strong>and</strong> Hassan Aref. SIAM<br />
Review, 35(2):308–??, June 1993. CODEN SIREAD. ISSN 0036-<br />
1445 (print), 1095-7200 (electronic).<br />
Anonymous:1995:SHBb<br />
[Ano95] Anonymous, editor. Symposium in Honor <strong>of</strong> Benoît M<strong>and</strong>elbrot.<br />
World Scientific Publishing, Singapore; Philadelphia, PA, USA;<br />
River Edge, NJ, USA, 1995. ISSN 0218-348X. i–xii + 629–914<br />
pp. LCCN ???? Held in Curaçao, February 2–4, 1995, Fractals<br />
3 (1995), no. 4.<br />
Anonymous:1998:NPF<br />
[Ano98] Anonymous. Net pics: Fractal fever. Science, 280(5363):491,<br />
April 24, 1998. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-
REFERENCES 41<br />
9203 (electronic). URL http://www.sciencemag.org/content/<br />
280/5363/491.3.full.<br />
Anonymous:2005:BBF<br />
[Ano05] Anonymous. Buchbesprechung: Fraktale und Finanzen. Märkte<br />
zwischen Risiko und Ruin. Von Benoît B. M<strong>and</strong>elbrot und<br />
Richard L. Hudson. RiskNews, 2(4):56–57, August 2005. CODEN<br />
???? ISSN ???? URL http://onlinelibrary.wiley.com/doi/<br />
10.1002/risk.200590086/abstract.<br />
Anonymous:2006:FF<br />
[Ano06] Anonymous. Fractal feat. Science, 312(5781):1712, June 23,<br />
2006. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/312/<br />
5781/1712.12.full.pdf.<br />
Anonymous:2010:BNF<br />
[Ano10a] Anonymous. BBC news: ‘fractal’ mathematician Benoît M<strong>and</strong>elbrot<br />
dies aged 85. BBC Online, ??(??):??, October 17, 2010.<br />
CODEN ???? ISSN ???? URL http://www.bbc.co.uk/news/<br />
world-europe-11560101.<br />
Anonymous:2010:BMF<br />
[Ano10b] Anonymous. Benoît M<strong>and</strong>elbrot, fractals pioneer, dies. United<br />
Press International, ??(??):??, October 16, 2010. CODEN ????<br />
ISSN ???? URL http://www.upi.com/Science_News/2010/10/<br />
16/Benoit-M<strong>and</strong>elbrot-fractals-pioneer-dies/UPI-11551287266964/<br />
.<br />
Anonymous:2010:BMO<br />
[Ano10c] Anonymous. Benoît M<strong>and</strong>elbrot’s obituary. The Economist, ??<br />
(??):??, October 21, 2010. CODEN EONOEH. ISSN 0013-0613<br />
(print), 1476-8860 (electronic). URL http://www.economist.<br />
com/node/17305197.<br />
Anonymous:2010:MFF<br />
[Ano10d] Anonymous. M<strong>and</strong>elbrot, father <strong>of</strong> fractal geometry, dies. The<br />
Gazette, ??(??):??, October 16, 2010. CODEN ???? ISSN<br />
???? URL http://www.upi.com/Science_News/2010/10/16/<br />
Benoit-M<strong>and</strong>elbrot-fractals-pioneer-dies/UPI-11551287266964/<br />
.
REFERENCES 42<br />
Anonymous:2010:SRH<br />
[Ano10e] Anonymous. Sarkozy rend hommage à M<strong>and</strong>elbrot. (French)<br />
[[President] Sarkozy pays homage to M<strong>and</strong>elbrot]. Le Figaro,<br />
??(??):??, October 17, 2010. CODEN ???? ISSN<br />
???? URL http://www.lefigaro.fr/flash-actu/2010/<br />
10/16/97001-20101016FILWWW00611-sarkozy-rend-hommagea-m<strong>and</strong>elbrot.php.<br />
Alfonseca:1997:SRF<br />
[AO97] M. Alfonseca <strong>and</strong> A. Ortega. A study <strong>of</strong> the representation <strong>of</strong><br />
fractal curves <strong>by</strong> L systems <strong>and</strong> their equivalences. IBM Journal<br />
<strong>of</strong> Research <strong>and</strong> Development, 41(6):727–736, November 1997.<br />
CODEN IBMJAE. ISSN 0018-8646 (print), 2151-8556 (electronic).<br />
URL http://www.almaden.ibm.com/journal/rd/416/<br />
alfonseca.html.<br />
Alfonseca:2001:DFD<br />
[AO01] M. Alfonseca <strong>and</strong> A. Ortega. Determination <strong>of</strong> fractal dimensions<br />
from equivalent L systems. IBM Journal <strong>of</strong> Research <strong>and</strong><br />
Development, 45(6):797–805, ???? 2001. CODEN IBMJAE.<br />
ISSN 0018-8646 (print), 2151-8556 (electronic). URL http://<br />
www.research.ibm.com/journal/rd/456/alfonseca.html;<br />
http://www.research.ibm.com/journal/rd/456/alfonseca.<br />
pdf.<br />
Aref:1993:RBC<br />
[Are93] Hassan Aref. Review: Transition to Chaos: The Orbit<br />
Diagram <strong>and</strong> the M<strong>and</strong>elbrot Set, with Robert L. Devaney.<br />
SIAM Review, 35(2):308–309, June 1993. CODEN<br />
SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic).<br />
URL http://link.aip.org/link/siread/v35/i2/p308/s1;<br />
http://www.jstor.org/stable/2133149.<br />
Allouche:1992:RRS<br />
[AS92] J.-P. Allouche <strong>and</strong> J. Shallit. The ring <strong>of</strong> k-regular sequences.<br />
Theoretical Computer Science, 98(2):163–197, May 18, 1992. CO-<br />
DEN TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
Achdou:2007:TBC<br />
[AST07] Yves Achdou, Christophe Sabot, <strong>and</strong> Nicoletta Tchou. Transparent<br />
boundary conditions for the Helmholtz equation in some
REFERENCES 43<br />
ramified domains with a fractal boundary. Journal <strong>of</strong> Computational<br />
Physics, 220(2):712–739, January 10, 2007. CO-<br />
DEN JCTPAH. ISSN 0021-9991 (print), 1090-2716 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0021999106002567.<br />
Atela:1993:MSA<br />
[Ate93] Pau Atela. The M<strong>and</strong>elbrot set <strong>and</strong> σ-automorphisms <strong>of</strong> quotients<br />
<strong>of</strong> the shift. Transactions <strong>of</strong> the American Mathematical<br />
Society, 335(2):683–703, February 1993. CODEN TAMTAM.<br />
ISSN 0002-9947 (print), 1088-6850 (electronic). URL http://<br />
www.jstor.org/stable/2154400.<br />
Allouche:1997:ADS<br />
[AvHP + 97] J.-P. Allouche, F. von Haeseler, H.-O. Peitgen, A. Petersen, <strong>and</strong><br />
G. Skordev. Automaticity <strong>of</strong> double sequences generated <strong>by</strong> onedimensional<br />
linear cellular automata. Theoretical Computer Science,<br />
188(1–2):195–209, November 30, 1997. CODEN TCSCDI.<br />
ISSN 0304-3975 (print), 1879-2294 (electronic). URL http:/<br />
/www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/<br />
browse/browse.cgi?year=1997&volume=188&issue=1-2&aid=<br />
2498.<br />
Author:1983:FGN<br />
[AW83] Benoît B. M<strong>and</strong>elbrot Author <strong>and</strong> John A. Wheeler. The fractal<br />
geometry <strong>of</strong> nature. American Journal <strong>of</strong> Physics, 51:286–??,<br />
1983. CODEN AJPIAS. ISSN 0002-9505. URL http://link.<br />
aip.org/link/ajpias/v51/i3/p286/s1.<br />
Barnsley:1978:APE<br />
[BA78] Michael F. Barnsley <strong>and</strong> Jacques G. Aguilar. On the approximation<br />
<strong>of</strong> potential-energy functions for two-center systems. International<br />
Journal <strong>of</strong> Quantum Chemistry, 13(5):641–677, May<br />
1978. CODEN IJQCB2. ISSN 0020-7608 (print), 1097-461X (electronic).<br />
Baines:1997:FDF<br />
[Bai97] Peter G. Baines. Fluid dynamics: a fractal world <strong>of</strong> cloistered<br />
waves. Nature, 388(6642):518–519, August 7, 1997. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v388/<br />
n6642/full/388518a0.html.
REFERENCES 44<br />
Bak:2000:BRB<br />
[Bak00] Per Bak. Book review: Multifractals <strong>and</strong> 1/f noise, <strong>by</strong> Benoît<br />
B. M<strong>and</strong>elbrot. Complexity, 5(3):46–47, January/February 2000.<br />
CODEN ???? ISSN ????<br />
Ball:2010:MWF<br />
[Bal10] Philip Ball. Material witness: Fractal st<strong>and</strong>still. Nature Materials,<br />
9(12):964, November 23, 2010. CODEN NMAACR. ISSN<br />
1476-1122 (print), 1476-4660 (electronic). URL http://www.<br />
nature.com/nmat/journal/v9/n12/full/nmat2910.html.<br />
Barnsley:1971:SRF<br />
[Bar71] Michael Barnsley. Sum rule functions. Journal <strong>of</strong> Mathematical<br />
Physics, 12(6):957–964, June 1971. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427. URL http:<br />
//jmp.aip.org/resource/1/jmapaq/v12/i6/p957_s1.<br />
Barnsley:1973:BPM<br />
[Bar73] Michael Barnsley. The bounding properties <strong>of</strong> the multipoint<br />
Padé approximant to a series <strong>of</strong> Stieltjes on the real line. Journal<br />
<strong>of</strong> Mathematical Physics, 14(3):299–313, March 1973. CODEN<br />
JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-<br />
2427. URL http://jmp.aip.org/resource/1/jmapaq/v14/i3/<br />
p299_s1.<br />
Barnsley:1975:CTP<br />
[Bar75] M. F. Barnsley. Correction terms for Padé approximants. Journal<br />
<strong>of</strong> Mathematical Physics, 16(4):918–928, April 1975. CODEN<br />
JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-<br />
2427. URL http://jmp.aip.org/resource/1/jmapaq/v16/i4/<br />
p918_s1.<br />
Barnsley:1976:PAB<br />
[Bar76] M. F. Barnsley. Padé approximant bounds for the difference <strong>of</strong><br />
two series <strong>of</strong> Stieltjes. Journal <strong>of</strong> Mathematical Physics, 17(4):<br />
559–565, April 1976. CODEN JMAPAQ. ISSN 0022-2488 (print),<br />
1089-7658 (electronic), 1527-2427. URL http://jmp.aip.org/<br />
resource/1/jmapaq/v17/i4/p559_s1.<br />
Barcellos:1984:FGM<br />
[Bar84] Anthony Barcellos. The fractal geometry <strong>of</strong> M<strong>and</strong>elbrot. College<br />
Mathematics Journal, 15(2):98–114, March 1984. CODEN ????
REFERENCES 45<br />
ISSN 0746-8342 (print), 1931-1346 (electronic). URL http://<br />
www.jstor.org/stable/2686514.<br />
Barnsley:1988:FE<br />
[Bar88a] Michael Barnsley. Fractals Everywhere. Academic Press, New<br />
York, NY, USA, 1988. ISBN 0-12-079062-9. xii + 394 pp. LCCN<br />
QA614.86 .B37 1988.<br />
Barnsley:1988:FMR<br />
[Bar88b] Michael F. Barnsley. Fractal modelling <strong>of</strong> real world images.<br />
In Peitgen <strong>and</strong> Saupe [PS88a], chapter 5, pages 219–242.<br />
ISBN 0-387-96608-0 (New York), 3-540-96608-0 (Berlin). LCCN<br />
QA614.86 .S35 1988.<br />
Barnsley:1993:FMR<br />
[Bar93a] Michael F. Barnsley. Fractal modelling <strong>of</strong> real world images. In<br />
Fractals Everywhere [Bar93b], pages 219–239. ISBN 0-12-079061-<br />
0. LCCN ????<br />
Barnsley:1993:FE<br />
[Bar93b] Michael F. Barnsley. Fractals Everywhere. Academic Press,<br />
Boston, MA, USA, second edition, 1993. ISBN 0-12-079061-0.<br />
xiv + 531 pp. LCCN ????<br />
Baumann:1996:MTP<br />
[Bau96] Gerd Baumann. Mathematica in Theoretical Physics: selected<br />
examples from classical mechanics to fractals. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK / etc.,<br />
1996. ISBN 0-387-94424-9. xi + 384 pp. LCCN QC20.7.E4B3813<br />
1996. US$59.00. Revised, translated, exp<strong>and</strong>ed <strong>and</strong> updated<br />
edition <strong>of</strong> [Kau92].<br />
Baumann:2005:MTP<br />
[Bau05] Gerd Baumann. Mathematica in theoretical physics. Springer-<br />
Verlag, Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., second edition, 2005. ISBN 0-387-01674-0. xvi + 544 pp.<br />
LCCN QC20.7.E4 B3813 2005.<br />
Bawden:2011:BMS<br />
[Baw11] David Bawden. Benoît M<strong>and</strong>elbrot <strong>and</strong> the self-similarity <strong>of</strong> information.<br />
Journal <strong>of</strong> Documentation, 67(2):??, ???? 2011. CO-<br />
DEN JDOCAS. ISSN 0022-0418 (print), 1758-7379 (electronic).
REFERENCES 46<br />
URL http://www.emeraldinsight.com/journals.htm?issn=<br />
0022-0418&volume=67&issue=2&articleid=1911717.<br />
Barnsley:1976:BBC<br />
[BB76] M. F. Barnsley <strong>and</strong> George A. Baker, Jr. Bivariational bounds in<br />
a complex Hilbert space, <strong>and</strong> correction terms for padé approximants.<br />
Journal <strong>of</strong> Mathematical Physics, 17(6):1019–1027, June<br />
1976. CODEN JMAPAQ. ISSN 0022-2488 (print), 1089-7658<br />
(electronic), 1527-2427. URL http://jmp.aip.org/resource/<br />
1/jmapaq/v17/i6/p1019_s1.<br />
Barnsley:1979:CMB<br />
[BB79] M. Barnsley <strong>and</strong> D. Bessis. Constructive methods based on analytic<br />
characterizations <strong>and</strong> their application to nonlinear elliptic<br />
<strong>and</strong> parabolic differential equations. Journal <strong>of</strong> Mathematical<br />
Physics, 20(6):1135–1145, June 1979. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427. URL http:<br />
//jmp.aip.org/resource/1/jmapaq/v20/i6/p1135_s1.<br />
Brady:1984:FGC<br />
[BB84] R. M. Brady <strong>and</strong> R. C. Ball. Fractal growth <strong>of</strong> copper electrodeposits.<br />
Nature, 309(5965):225–229, May 17, 1984. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v309/<br />
n5965/pdf/309225a0.pdf.<br />
Badler:1990:IRI<br />
[BB90] Norman I. Badler <strong>and</strong> Welton Becket. Imperfection for realistic<br />
image synthesis. Journal <strong>of</strong> Visualization <strong>and</strong> Computer Animation,<br />
1(1):26–32, August 1990. CODEN JVCAEO. ISSN 1049-<br />
8907.<br />
Barlow:1999:BMH<br />
[BB99] Martin T. Barlow <strong>and</strong> Richard F. Bass. Brownian motion <strong>and</strong><br />
harmonic analysis on Sierpinski carpets. Canadian Journal <strong>of</strong><br />
Mathematics = Journal canadien de mathématiques, 51(4):673–<br />
744, August 1999. CODEN CJMAAB. ISSN 0008-414X (print),<br />
1496-4279 (electronic).<br />
Barnsley:2010:FT<br />
[BB10] Michael Barnsley <strong>and</strong> Louisa Barnsley. Fractal transformations.<br />
In Lesmoir-Gordon [LG10b], chapter 4, pages 58–73. ISBN 1-<br />
84996-485-8. LCCN QA614.86 .C65 2010. URL http://www.
REFERENCES 47<br />
springerlink.com/content/978-1-84996-485-2. with contributions<br />
<strong>by</strong> Ian Stewart, Sir Arthur C. Clarke, Benoît B. M<strong>and</strong>elbrot,<br />
Michael <strong>and</strong> Louisa Barnsley, Will Rood, Gary Flake, <strong>and</strong><br />
David Pennock.<br />
Buzio:2003:CMF<br />
[BBB + 03] Renato Buzio, Corrado Boragno, Fabio Biscarini, Francesco Buatier<br />
De Mongeot, <strong>and</strong> Ugo Valbusa. The contact mechanics <strong>of</strong><br />
fractal surfaces. Nature Materials, 2(4):233–236, March 9, 2003.<br />
CODEN NMAACR. ISSN 1476-1122 (print), 1476-4660 (electronic).<br />
URL http://www.nature.com/nmat/journal/v2/n4/<br />
full/nmat855.html.<br />
Barral:2010:QIE<br />
[BBB + 10] J. Barral, J. Berestycki, J. Bertoin, et al. Quelques interactions<br />
entre analyse, probabilités et fractals. (French) [Some interactions<br />
between analysis, probability, <strong>and</strong> fractals]. Société Mathématique<br />
de France, Paris, France, 2010. x + 243 pp. LCCN ???? Introduction<br />
<strong>by</strong> Stéphane Jaffard.<br />
Byrnes:1992:PSM<br />
[BBBH92] J. S. Byrnes, Jennifer L. Byrnes, Karl Berry, <strong>and</strong> Kathryn A. Hargreaves,<br />
editors. Probabilistic <strong>and</strong> Stochastic Methods in Analysis,<br />
with Applications: Proceedings <strong>of</strong> the NATO Advanced Study Institute,<br />
volume 372 <strong>of</strong> NATO ASI series C: Mathematical <strong>and</strong><br />
physical sciences. Kluwer Academic Publishers, Norwell, MA,<br />
USA, <strong>and</strong> Dordrecht, The Netherl<strong>and</strong>s, 1992. ISBN 0-7923-1804-<br />
8. LCCN ????<br />
Barnsley:1979:DMP<br />
[BBM79] M. Barnsley, D. Bessis, <strong>and</strong> P. Moussa. The Diophantine moment<br />
problem <strong>and</strong> the analytic structure in the activity <strong>of</strong> the ferromagnetic<br />
Ising model. Journal <strong>of</strong> Mathematical Physics, 20(4):<br />
535–546, April 1979. CODEN JMAPAQ. ISSN 0022-2488 (print),<br />
1089-7658 (electronic), 1527-2427. URL http://jmp.aip.org/<br />
resource/1/jmapaq/v20/i4/p535_s1.<br />
Barnsley:1980:CSK<br />
[BC80] M. Barnsley <strong>and</strong> H. Cornille. On a class <strong>of</strong> solutions <strong>of</strong> the Krook–<br />
Tjon–Wu model <strong>of</strong> the Boltzmann equation. Journal <strong>of</strong> Mathematical<br />
Physics, 21(5):1176–1193, May 1980. CODEN JMAPAQ.<br />
ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-2427. URL<br />
http://jmp.aip.org/resource/1/jmapaq/v21/i5/p1176_s1.
REFERENCES 48<br />
Br<strong>and</strong>t:1991:ACH<br />
[BCM91] Jonathan Br<strong>and</strong>t, Carlos Cabrelli, <strong>and</strong> Ursula Molter. An algorithm<br />
for the computation <strong>of</strong> the Hutchinson distance. Information<br />
Processing Letters, 40(2):113–117, October 25, 1991. CO-<br />
DEN IFPLAT. ISSN 0020-0190 (print), 1872-6119 (electronic).<br />
See also corrigendum [BCM92].<br />
Br<strong>and</strong>t:1992:CAC<br />
[BCM92] Jonathan Br<strong>and</strong>t, Carlos Cabrelli, <strong>and</strong> Ursula Molter. Corrigendum:<br />
“An algorithm for the computation <strong>of</strong> the Hutchinson<br />
distance” [Inform. Process. Lett. 40(2), 25 October 1991, pp.<br />
113–117]. Information Processing Letters, 41(6):347, April 17,<br />
1992. CODEN IFPLAT. ISSN 0020-0190 (print), 1872-6119 (electronic).<br />
See [BCM91].<br />
Barral:2003:MMM<br />
[BCM03] J. Barral, M.-O. Coppens, <strong>and</strong> B. B. M<strong>and</strong>elbrot. Multiperiodic<br />
multifractal martingale measures. Journal de Mathématiques<br />
Pures et Appliquées, 82(12):1555–1589, ???? 2003. CODEN JM-<br />
PAAM. ISSN 0021-7824 (print), 1776-3371 (electronic).<br />
Barnsley:1986:CDF<br />
[BD86] Michael F. Barnsley <strong>and</strong> Stephen G. Demko, editors. Chaotic<br />
Dynamics <strong>and</strong> Fractals, volume 2 <strong>of</strong> Notes <strong>and</strong> reports in mathematics<br />
in science <strong>and</strong> engineering. Academic Press, New York,<br />
NY, USA, 1 edition, 1986. ISBN 0-12-079060-2. xi + 292 pp.<br />
LCCN QA843 .C471 1986.<br />
Bode:1996:PVM<br />
[BDLS96] Arndt Bode, Jack Dongarra, T. Ludwig, <strong>and</strong> V. Sunderam, editors.<br />
Parallel virtual machine, EuroPVM ’96: third European<br />
PVM conference, Munich, Germany, October 7–9, 1996: proceedings,<br />
volume 1156 <strong>of</strong> Lecture Notes in Computer Science. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London,<br />
UK / etc., 1996. CODEN ???? ISBN 3-540-61779-5. ISSN 0302-<br />
9743 (print), 1611-3349 (electronic). LCCN QA76.58.E975 1996.<br />
Barnsley:1988:SFI<br />
[BDM + 88] Michael F. Barnsley, Robert L. Devaney, Benoît B. M<strong>and</strong>elbrot,<br />
Heinz-Otto Peitgen, Dietmar Saupe, <strong>and</strong> Richard F. Voss. The<br />
science <strong>of</strong> fractal images. Springer-Verlag, Berlin, Germany /
REFERENCES 49<br />
Heidelberg, Germany / London, UK / etc., 1988. ISBN 0-387-<br />
96608-0. xiv + 312 pp. LCCN ???? With contributions <strong>by</strong><br />
Yuval Fisher <strong>and</strong> Michael McGuire. Based on notes for the course<br />
Fractals — introduction, basics <strong>and</strong> perspectives, given as part<br />
<strong>of</strong> the SIGGRAPH ’87, Anaheim, California course program.<br />
Bani-Eqbal:1995:ESF<br />
[BE95a] Behnam Bani-Eqbal. Enhancing the speed <strong>of</strong> fractal image<br />
compression. Optical Engineering, 34(6):1705–1710, June 1995.<br />
CODEN OPEGAR. ISSN 0091-3286. URL ftp://links.<br />
uwaterloo.ca/pub/Fractals/Papers/bani95.ps.gz.<br />
Bani-Eqbal:1995:SFI<br />
[BE95b] Behnam Bani-Eqbal. Speeding up fractal image compression.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for Optical<br />
Engineering, 2418(??):67–74, February 1995. CODEN ????<br />
ISSN ????<br />
Barnsley:1989:HVF<br />
[BEHM89] M. F. Barnsley, J. Elton, D. Hardin, <strong>and</strong> P. Massopust. Hidden<br />
variable fractal interpolation functions. SIAM Journal on Mathematical<br />
Analysis, 20(5):1218–1242, September 1989. CODEN<br />
SJMAAH. ISSN 0036-1410 (print), 1095-7154 (electronic).<br />
Berry:1986:FA<br />
[Ber86] Michael Berry. Fractal attractions. Nature, 323(6089):590, October<br />
16, 1986. CODEN NATUAS. ISSN 0028-0836 (print),<br />
1476-4687 (electronic). URL http://www.nature.com/nature/<br />
journal/v323/n6089/pdf/323590a0.pdf.<br />
Bohman:1995:HIC<br />
[BF95] J. Bohman <strong>and</strong> C.-E. Fröberg. Heuristic investigation <strong>of</strong> chaotic<br />
mapping producing fractal objects. BIT Numerical Mathematics,<br />
35(4):609–615, December 1995. CODEN BITTEL, NBITAB.<br />
ISSN 0006-3835 (print), 1572-9125 (electronic). URL http://<br />
www.mai.liu.se/BIT/contents/bit35.html; http://www.<br />
springerlink.com/openurl.asp?genre=article&issn=0006-<br />
3835&volume=35&issue=4&spage=609.<br />
Barnsley:2012:GBM<br />
[BF12a] Michael F. Barnsley <strong>and</strong> Michael Frame. Glimpses <strong>of</strong> Benoît<br />
M<strong>and</strong>elbrot (1924–2010). Notices <strong>of</strong> the American Mathematical<br />
Society, 59(8):1056–1063, September 2012. CODEN AMNOAN.
REFERENCES 50<br />
ISSN 0002-9920 (print), 1088-9477 (electronic). URL http://<br />
www.ams.org/notices/201208/rtx120801056p.pdf.<br />
Barnsley:2012:IBB<br />
[BF12b] Michael F. Barnsley <strong>and</strong> Michael Frame. Influences <strong>of</strong> Benoît B.<br />
M<strong>and</strong>elbrot on mathematics. Notices <strong>of</strong> the American Mathematical<br />
Society, 59(9):1208–1221, October 2012. CODEN AMNOAN.<br />
ISSN 0002-9920 (print), 1088-9477 (electronic). URL http:<br />
//www.ams.org/notices/201209/rtx120901208p.pdf. Other<br />
contributors are Roger Howe, Ian Stewart, David Mumford, Hillel<br />
Furstenberg, Kenneth Falconer, Bruce J. West, Marc-Olivier<br />
Coppens, Nathan Cohen, Stéphane Jaffard, <strong>and</strong> Sir Michael<br />
Berry.<br />
Balkin:1994:CEC<br />
[BGR94] S<strong>and</strong>y D. Balkin, Elizabeth L. Golebiewski, <strong>and</strong> Clifford A. Reiter.<br />
Chaos <strong>and</strong> elliptic curves. Computers <strong>and</strong> Graphics, 18<br />
(1):113–117, January–February 1994. CODEN COGRD2. ISSN<br />
0097-8493 (print), 1873-7684 (electronic).<br />
Barnsley:1989:MSW<br />
[BH89] M. F. Barnsley <strong>and</strong> D. P. Hardin. A M<strong>and</strong>elbrot set whose boundary<br />
is piecewise smooth. Transactions <strong>of</strong> the American Mathematical<br />
Society, 315(2):641–659, October 1989. CODEN TAMTAM.<br />
ISSN 0002-9947 (print), 1088-6850 (electronic). URL http://<br />
www.jstor.org/stable/2001299.<br />
Barnsley:2011:HTF<br />
[BHI11] Michael F. Barnsley, Brendan Harding, <strong>and</strong> Konstantin Igudesman.<br />
How to transform <strong>and</strong> filter images using iterated function<br />
systems. SIAM Journal on Imaging Sciences, 4(4):1001–1028,<br />
???? 2011. CODEN SJISBI. ISSN 1936-4954. URL http://<br />
epubs.siam.org/siims/resource/1/sjisbi/v4/i4/p1001_s1.<br />
Bialy:1989:FGH<br />
[Bia89] Harvey Bialy. The fractal geometry <strong>of</strong> the heart. Bio/Technology,<br />
7(12):1219, December 1989. CODEN ???? ISSN ???? URL http:<br />
//www.nature.com/nbt/journal/v7/n12/full/nbt1289-1219.<br />
html.<br />
Bisoi:1995:NRM<br />
[Bis95] A. K. Bisoi. Newton Raphson method, scaling at fractal boundaries<br />
<strong>and</strong> MATHEMATICA. Mathematical <strong>and</strong> Computer Mod-
REFERENCES 51<br />
elling, 21(10):91–102, ???? 1995. CODEN MCMOEG. ISSN<br />
0895-7177.<br />
Barnsley:1988:HCI<br />
[BJM + 88] Michael F. Barnsley, Arnaud Jacquin, François Malassenet,<br />
Laurie Reuter, <strong>and</strong> Alan D. Sloan. Harnessing chaos for<br />
image synthesis. Computer Graphics, 22(4):131–140, August<br />
1988. CODEN CGRADI, CPGPBZ. ISSN 0097-8930.<br />
URL http://www.acm.org:80/pubs/citations/proceedings/<br />
graph/54852/p131-barnsley/.<br />
Barral:2010:CCM<br />
[BJM10a] Julien Barral, Xiong Jin, <strong>and</strong> Benoît M<strong>and</strong>elbrot. Convergence<br />
<strong>of</strong> complex multiplicative cascades. Annals <strong>of</strong> applied probability,<br />
20(4):1219–1252, ???? 2010. CODEN ???? ISSN 1050-5164.<br />
Barral:2010:UCC<br />
[BJM10b] Julien Barral, Xiong Jin, <strong>and</strong> Benoît M<strong>and</strong>elbrot. Uniform convergence<br />
for complex [0, 1]-martingales. Annals <strong>of</strong> applied probability,<br />
20(4):1205–1218, ???? 2010. CODEN ???? ISSN 1050-<br />
5164.<br />
Balamash:2002:PMM<br />
[BK02] Abdullah Balamash <strong>and</strong> Marwan Krunz. A parsimonious multifractal<br />
model for WWW traffic. Lecture Notes in Computer<br />
Science, 2376(??):1–??, ???? 2002. CODEN LNCSD9.<br />
ISSN 0302-9743 (print), 1611-3349 (electronic). URL http:/<br />
/link.springer.de/link/service/series/0558/bibs/2376/<br />
23760001.htm; http://link.springer.de/link/service/<br />
series/0558/papers/2376/23760001.pdf.<br />
Balamash:2003:MWR<br />
[BK03] Abdullah Balamash <strong>and</strong> Marwan Krunz. Modeling web requests:<br />
a multifractal approach. Computer Networks (Amsterdam,<br />
Netherl<strong>and</strong>s: 1999), 43(2):211–226, October 7, 2003. CO-<br />
DEN ???? ISSN 1389-1286 (print), 1872-7069 (electronic).<br />
Berry:1980:WMF<br />
[BL80] M. V. Berry <strong>and</strong> Z. V. Lewis. On the Weierstrass–M<strong>and</strong>elbrot<br />
fractal function. Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London. Series<br />
A, Mathematical <strong>and</strong> physical sciences, 370(1743):459–484,<br />
April 24, 1980. CODEN PRLAAZ. ISSN 0080-4630. URL http:<br />
//www.jstor.org/stable/2397195.
REFERENCES 52<br />
Bossomaier:1993:PCH<br />
[BL93] Terry Bossomaier <strong>and</strong> Adrian Loeff. Parallel computation <strong>of</strong> the<br />
Hausdorff distance between images. Parallel Computing, 19(10):<br />
1129–1140, October 1993. CODEN PACOEJ. ISSN 0167-8191<br />
(print), 1872-7336 (electronic).<br />
Berger:1963:NME<br />
[BM63] J. M. Berger <strong>and</strong> Benoît M<strong>and</strong>elbrot. A new model for error clustering<br />
in telephone circuits. IBM Journal <strong>of</strong> Research <strong>and</strong> Development,<br />
7(3):224–236, ???? 1963. CODEN IBMJAE. ISSN 0018-<br />
8646 (print), 2151-8556 (electronic). URL http://ieeexplore.<br />
ieee.org/stamp/stamp.jsp?tp=&arnumber=5392305.<br />
Brivio:1993:FMD<br />
[BM93] P. A. Brivio <strong>and</strong> D. Marini. A fractal method for digital elevation<br />
model construction <strong>and</strong> its application to a mountain region.<br />
Computer Graphics Forum, 12(5):297–309, December 1993. CO-<br />
DEN CGFODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Blumenfeld:1997:LDM<br />
[BM97] Raphael Blumenfeld <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Lévy dusts,<br />
Mittag-Leffler statistics, mass fractal lacunarity, <strong>and</strong> perceived<br />
dimension. Physical Review E (Statistical physics, plasmas, fluids,<br />
<strong>and</strong> related interdisciplinary topics), 56(1, part A):112–118,<br />
???? 1997. CODEN PLEEE8. ISSN 1539-3755 (print), 1550-<br />
2376 (electronic). URL http://link.aps.org/abstract/PRE/<br />
v56/e112.<br />
Barral:1999:MPC<br />
[BM99] Julien Barral <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Multifractal products <strong>of</strong><br />
certain pulses. Technical report, UM2—Département des sciences<br />
mathématiques, Montpellier, France, 1999. 33 pp.<br />
Barral:2002:MPC<br />
[BM02] Julien Barral <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Multifractal products<br />
<strong>of</strong> cylindrical pulses. Probability theory <strong>and</strong> related fields, 124(3):<br />
409–430, ???? 2002. CODEN PTRFEU. ISSN 0178-8051 (print),<br />
1432-2064 (electronic). URL http://www.springerlink.com/<br />
content/ggbdvw9n6bh590up/.<br />
Barral:2004:PIM<br />
[BM04a] J. Barral <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Part II: Multifractals: Introduction<br />
to infinite products <strong>of</strong> independent r<strong>and</strong>om functions
REFERENCES 53<br />
(r<strong>and</strong>om multiplicative multifractal measures, part I). In Lapidus<br />
<strong>and</strong> van Frankenhuijsen [LvF04b], page ?? ISBN 0-8218-3638-2<br />
(part 2), 0-8218-3292-1 (set). LCCN QA325 .F73 2004. Multifractals,<br />
probability <strong>and</strong> statistical mechanics, applications.<br />
Barral:2004:IIP<br />
[BM04b] Julien Barral <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Introduction to infinite<br />
products <strong>of</strong> independent r<strong>and</strong>om functions (R<strong>and</strong>om multiplicative<br />
multifractal measures. I). In Fractal geometry <strong>and</strong> applications:<br />
a jubilee <strong>of</strong> Benoît M<strong>and</strong>elbrot, Part 2, volume 72 <strong>of</strong> Proc.<br />
Sympos. Pure Math., pages 3–16. American Mathematical Society,<br />
Providence, RI, USA, 2004.<br />
Barral:2004:NDM<br />
[BM04c] Julien Barral <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Non-degeneracy, moments,<br />
dimension, <strong>and</strong> multifractal analysis for r<strong>and</strong>om multiplicative<br />
measures (R<strong>and</strong>om multiplicative multifractal measures.<br />
II). In Lapidus <strong>and</strong> van Frankenhuijsen [LvF04b], pages 17–52.<br />
ISBN 0-8218-3638-2 (part 2), 0-8218-3292-1 (set). LCCN QA325<br />
.F73 2004. Multifractals, probability <strong>and</strong> statistical mechanics,<br />
applications.<br />
Barral:2009:FMP<br />
[BM09] Julien Barral <strong>and</strong> Benoît M<strong>and</strong>elbrot. Fractional multiplicative<br />
processes. Ann. Inst. Henri Poincaré Probab. Stat., 45(4):1116–<br />
1129, ???? 2009. CODEN ???? ISSN 0246-0203.<br />
Bouville:1985:BER<br />
[Bou85] Christian Bouville. Bounding ellipsoids for ray-fractal intersection.<br />
Computer Graphics, 19(3):45–52, July 1985. CODEN<br />
CGRADI, CPGPBZ. ISSN 0097-8930.<br />
Bourke:2006:IAF<br />
[Bou06] Paul Bourke. An introduction to the Apollonian fractal. Computers<br />
<strong>and</strong> Graphics, 30(1):134–136, February 2006. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849305002189.<br />
Bouboulis:2009:COM<br />
[Bou09a] P. Bouboulis. Construction <strong>of</strong> orthogonal multi-wavelets using<br />
generalized-affine fractal interpolation functions. IMA<br />
Journal <strong>of</strong> Applied Mathematics, 74(6):904–933, December
REFERENCES 54<br />
2009. CODEN IJAMDM. ISSN 0272-4960 (print), 1464-3634<br />
(electronic). URL http://imamat.oxfordjournals.org/cgi/<br />
content/abstract/74/6/904;<br />
org/cgi/reprint/74/6/904.<br />
http://imamat.oxfordjournals.<br />
Bourke:2009:ESL<br />
[Bou09b] Paul Bourke. Evaluating Second Life for the collaborative exploration<br />
<strong>of</strong> 3D fractals. Computers <strong>and</strong> Graphics, 33(1):113–<br />
117, February 2009. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0097849308000964.<br />
Bouchaud:2011:BMP<br />
[Bou11] Jean-Philippe Bouchaud. Benoît M<strong>and</strong>elbrot: a personal tribute.<br />
Quantitative Finance, 11(2):161, ???? 2011. CODEN ???? ISSN<br />
1469-7688 (print), 1469-7696 (electronic).<br />
Boyd:1983:RBF<br />
[Boy83] James N. Boyd. Review: The Fractal Geometry <strong>of</strong> Nature, (L)<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. The Mathematics Teacher, 76(4):288,<br />
April 1983. CODEN ???? ISSN 0025-5769. URL http://www.<br />
jstor.org/stable/27963479.<br />
Boroda:1984:ZML<br />
[BP84] M. G. Boroda <strong>and</strong> A. A. Polikarpov. The Zipf–M<strong>and</strong>elbrot law<br />
<strong>and</strong> units <strong>of</strong> different levels <strong>of</strong> text organization. Tartu Riikl. Ül.<br />
Toimetised, ??(689):35–60, ???? 1984. CODEN ???? ISSN ????<br />
Barnsley:1974:DVP<br />
[BR74a] M. F. Barnsley <strong>and</strong> P. D. Robinson. Dual variational principles<br />
<strong>and</strong> Padé-type approximants. Journal <strong>of</strong> the Institute <strong>of</strong> Mathematics<br />
<strong>and</strong> its Applications, 14(??):229–249, ???? 1974. CODEN<br />
JMTAA8. ISSN 0020-2932.<br />
Barnsley:1974:PAB<br />
[BR74b] M. F. Barnsley <strong>and</strong> P. D. Robinson. Padé-approximant bounds<br />
<strong>and</strong> approximate solutions for Kirkwood–Riseman integral equations.<br />
Journal <strong>of</strong> the Institute <strong>of</strong> Mathematics <strong>and</strong> its Applications,<br />
14(??):251–265, ???? 1974. CODEN JMTAA8. ISSN 0020-<br />
2932.<br />
Barnsley:1975:VBT<br />
[BR75] Michael F. Barnsley <strong>and</strong> Peter D. Robinson. Variational bounds<br />
on transition probabilities. International Journal <strong>of</strong> Quantum
REFERENCES 55<br />
Chemistry, 9(3):479–487, May 1975. CODEN IJQCB2. ISSN<br />
0020-7608 (print), 1097-461X (electronic).<br />
Barnsley:1976:BBS<br />
[BR76] M. F. Barnsley <strong>and</strong> P. D. Robinson. Bivariational bounds on solutions<br />
<strong>of</strong> two-point boundary-value problems. Journal <strong>of</strong> Mathematical<br />
Analysis <strong>and</strong> Applications, 56(??):172–184, ???? 1976.<br />
CODEN JMANAK. ISSN 0022-247X.<br />
Barnsley:1977:BBN<br />
[BR77] M. F. Barnsley <strong>and</strong> P. D. Robinson. Bivariational bounds for<br />
non-linear problems. Journal <strong>of</strong> the Institute <strong>of</strong> Mathematics <strong>and</strong><br />
its Applications, 20(4):485–504, ???? 1977. CODEN JMTAA8.<br />
ISSN 0020-2932.<br />
Barnsley:1978:RAB<br />
[BR78] M. F. Barnsley <strong>and</strong> P. D. Robinson. Rational approximant<br />
bounds for a class <strong>of</strong> two-variable Stieltjes functions. SIAM Journal<br />
on Mathematical Analysis, 9(2):272–290, April 1978. CODEN<br />
SJMAAH. ISSN 0036-1410 (print), 1095-7154 (electronic).<br />
Bradley:1994:CSS<br />
[Bra94] James Bradley. A complete L-system specification for generating<br />
an exact self-affine growth-decay function with a r<strong>and</strong>om walk<br />
scaling property. The Computer Journal, 37(1):58–66, ???? 1994.<br />
CODEN CMPJA6. ISSN 0010-4620 (print), 1460-2067 (electronic).<br />
URL http://www3.oup.co.uk/computer_journal/<br />
Volume_37/Issue_01/Vol37_01.body.html#AbstractBradley.<br />
Bresson:1979:RBF<br />
[Bre79] Denis Bresson. Review: Fractals: Form, Chance <strong>and</strong> Dimension,<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. Leonardo (Oxford, Engl<strong>and</strong>), 12(3):<br />
248–249, ???? 1979. CODEN LEONDP. ISSN 0024-094X (print),<br />
1530-9282 (electronic). URL http://www.jstor.org/stable/<br />
1574228.<br />
Brickmann:1985:BRB<br />
[Bri85] J. Brickmann. Book review: B. M<strong>and</strong>elbrot: The Fractal Geometry<br />
<strong>of</strong> Nature, Freeman <strong>and</strong> Co., San Francisco 1982. 460 Seiten,<br />
Preis: $22,75. Berichte der Bunsengesellschaft für physikalische<br />
Chemie, 89(2):209, February 1985. CODEN ???? ISSN<br />
???? URL http://onlinelibrary.wiley.com/doi/10.1002/<br />
bbpc.19850890223/abstract.
REFERENCES 56<br />
Bridger:1988:LMS<br />
[Bri88] Mark Bridger. Looking at the M<strong>and</strong>elbrot set. College Mathematics<br />
Journal, 19(4):353–363, September 1988. CODEN ????<br />
ISSN 0746-8342 (print), 1931-1346 (electronic). URL http://<br />
www.jstor.org/stable/2686471.<br />
Browne:2007:IF<br />
[Bro07] Cameron Browne. Impossible fractals. Computers <strong>and</strong> Graphics,<br />
31(4):659–667, August 2007. CODEN COGRD2. ISSN<br />
0097-8493 (print), 1873-7684 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0097849307000799.<br />
Brune:1994:MTF<br />
[BRRK94] Harald Brune, Christoph Romainczyk, Holger Röder, <strong>and</strong> Klaus<br />
Kern. Mechanism <strong>of</strong> the transition from fractal to dendritic<br />
growth <strong>of</strong> surface aggregates. Nature, 369(6480):469–471, June<br />
9, 1994. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v369/n6480/pdf/369469a0.pdf.<br />
Barnsley:1988:BWC<br />
[BS88] Michael F. Barnsley <strong>and</strong> Alan D. Sloan. A better way to compress<br />
images. BYTE Magazine, 13(??):215–223, January 1988.<br />
CODEN BYTEDJ. ISSN 0360-5280.<br />
Bouras:1992:SDC<br />
[BSV92] A. Bouras, B. Shariat, <strong>and</strong> D. V<strong>and</strong>orpe. A simple description <strong>of</strong><br />
complex curves. Computer Graphics Forum, 11(3):C425–C433,<br />
???? 1992. CODEN CGFODY. ISSN 0167-7055 (print), 1467-<br />
8659 (electronic).<br />
Barnsley:1981:BMN<br />
[BT81] M. Barnsley <strong>and</strong> G. Turchetti. Bounding methods in nuclear<br />
physics. Computer Physics Communications, 22(2–3):325–<br />
343, April 1981. CODEN CPHCBZ. ISSN 0010-4655 (print),<br />
1879-2944 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/0010465581900680.<br />
Burrough:1981:FDL<br />
[Bur81] P. A. Burrough. Fractal dimensions <strong>of</strong> l<strong>and</strong>scapes <strong>and</strong> other environmental<br />
data. Nature, 294(5838):240–242, November 19, 1981.
REFERENCES 57<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v294/<br />
n5838/pdf/294240a0.pdf.<br />
Burn:1984:RBF<br />
[Bur84] R. P. Burn. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong> Benoît<br />
B. M<strong>and</strong>elbrot. Mathematical Gazette, 68(443):71–72, March<br />
1984. CODEN MAGAAS. ISSN 0025-5572. URL http://www.<br />
jstor.org/stable/3615422.<br />
Burns:2002:PEA<br />
[Bur02] Anne M. Burns. Plotting the escape: An animation <strong>of</strong> parabolic<br />
bifurcations in the M<strong>and</strong>elbrot set. Mathematics Magazine, 75<br />
(2):104–116, April 2002. CODEN MAMGA8. ISSN 0025-570X.<br />
URL http://www.jstor.org/stable/3219143.<br />
Barnsley:2011:EPL<br />
[BV11] Michael Barnsley <strong>and</strong> Andrew Vince. The eigenvalue problem for<br />
linear <strong>and</strong> affine iterated function systems. Linear Algebra <strong>and</strong><br />
Its Applications, 435(12):3124–3138, December 15, 2011. CODEN<br />
LAAPAW. ISSN 0024-3795 (print), 1873-1856 (electronic).<br />
Blackmore:1996:GFD<br />
[BZ96] Denis Blackmore <strong>and</strong> Jack G. Zhou. A general fractal distribution<br />
function for rough surface pr<strong>of</strong>iles. SIAM Journal on Applied<br />
Mathematics, 56(6):1694–1719, December 1996. CODEN<br />
SMJMAP. ISSN 0036-1399 (print), 1095-712X (electronic). URL<br />
http://epubs.siam.org/sam-bin/dbq/article/28312.<br />
Cahn:1989:FDF<br />
[Cah89] Robert W. Cahn. Fractal dimension <strong>and</strong> fracture. Nature, 338<br />
(6212):201–202, March 16, 1989. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v338/n6212/pdf/338201a0.pdf.<br />
Campbell:1987:TST<br />
[Cam87] Philip Campbell. Is there such a thing as fractal music? Nature,<br />
325(6107):766, February 26, 1987. CODEN NATUAS. ISSN<br />
0028-0836 (print), 1476-4687 (electronic). URL http://www.<br />
nature.com/nature/journal/v325/n6107/pdf/325766a0.pdf.
REFERENCES 58<br />
Camp:1996:RBF<br />
[Cam96] Dane R. Camp. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. The Mathematics Teacher, 89(3):256,<br />
March 1996. CODEN ???? ISSN 0025-5769. URL http://<br />
www.jstor.org/stable/27969730.<br />
Camp:2000:BME<br />
[Cam00] Dane R. Camp. Benoît M<strong>and</strong>elbrot: The Euclid <strong>of</strong> fractal geometry.<br />
The Mathematics Teacher, 93(8):708–712, November 2000.<br />
CODEN ???? ISSN 0025-5769. URL http://www.jstor.org/<br />
stable/27971555.<br />
Cannon:1984:RBF<br />
[Can84] J. W. Cannon. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. American Mathematical Monthly, 91(9):<br />
594–598, November 1984. CODEN AMMYAE. ISSN 0002-9890<br />
(print), 1930-0972 (electronic). URL http://www.jstor.org/<br />
stable/2323761.<br />
Carlson:1996:PDR<br />
[Car96] Paul W. Carlson. Pseudo-3-D rendering methods for fractals<br />
in the complex plane. Computers <strong>and</strong> Graphics, 20(5):751–758,<br />
September–October 1996. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.<br />
cgi?year=1996&volume=20&issue=5&aid=9600048.<br />
Carlson:1999:TAO<br />
[Car99a] Paul W. Carlson. Two artistic orbit trap rendering methods<br />
for Newton M-set fractals. Computers <strong>and</strong> Graphics, 23(6):<br />
925–931, December 1999. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.nl/<br />
gej-ng/10/13/20/24/34/47/abstract.html; http://www.<br />
elsevier.nl/gej-ng/10/13/20/24/35/47/article.pdf.<br />
Cartwright:1999:NMF<br />
[Car99b] Julyan H. E. Cartwright. Newton maps: fractals from Newton’s<br />
method for the circle map. Computers <strong>and</strong> Graphics, 23<br />
(4):607–612, August 1999. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.nl/<br />
gej-ng/10/13/20/24/34/40/abstract.html; http://www.<br />
elsevier.nl/gej-ng/10/13/20/24/34/40/article.pdf.
REFERENCES 59<br />
Casey:1996:UDT<br />
[Cas96] Stephen D. Casey. Using dimension theory to analyze<br />
<strong>and</strong> classify the generation <strong>of</strong> fractal sets. Computers <strong>and</strong><br />
Graphics, 20(5):731–749, September–October 1996. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/cag/cas_sub/browse/browse.cgi?year=1996&volume=<br />
20&issue=5&aid=9600047.<br />
Cawley:1989:HSF<br />
[Caw89] Robert Cawley. The hard science <strong>of</strong> fractals. Science, 245<br />
(4920):873, August 25, 1989. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/245/4920/873.1.full.pdf.<br />
Colnort-Bodet:1959:RBL<br />
[CB59] Suzanne Colnort-Bodet. Review: La lecture de l’expérience,<br />
≪Bibl. sc. intern.≫, Études d’Épistémologie génétique <strong>by</strong><br />
(A.) Jonckheere, (B.) M<strong>and</strong>elbrot, (J.) Piaget. Les Études<br />
philosophiques, ??(1):85, January 1959. CODEN ???? ISSN ????<br />
URL http://www.jstor.org/stable/20842901.<br />
Chen:1997:DIF<br />
[CB97] Yan Qiu Chen <strong>and</strong> Guoan Bi. 3-D IFS fractals as realtime<br />
graphics model. Computers <strong>and</strong> Graphics, 21(3):367–<br />
370, May–June 1997. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.<br />
cgi?year=1997&volume=21&issue=3&aid=9700014.<br />
Cohen:1957:RBL<br />
[CC58] Marcel Cohen <strong>and</strong> David Cohen. Review: Logique, langage et<br />
théorie de l’information, <strong>by</strong> L. Apostel, B. M<strong>and</strong>elbrot, A. Morf.<br />
L’Année sociologique (1940/1948-), Troisième Série, 9(??):508–<br />
509, ???? 1957–1958. CODEN ???? ISSN ???? URL http://<br />
www.jstor.org/stable/27885595.<br />
Chung:2000:GMS<br />
[CCC00] K. W. Chung, H. S. Y. Chan, <strong>and</strong> N. Chen. General M<strong>and</strong>elbrot<br />
sets <strong>and</strong> Julia sets with color symmetry from equivariant<br />
mappings <strong>of</strong> the modular group. Computers <strong>and</strong> Graphics, 24(6):<br />
911–918, December 2000. CODEN COGRD2. ISSN 0097-8493
REFERENCES 60<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.nl/<br />
gej-ng/10/13/20/47/34/34/abstract.html; http://www.<br />
elsevier.nl/gej-ng/10/13/20/47/34/34/article.pdf.<br />
Corana:1991:ECC<br />
[CCRR91] A. Corana, A. Casaleggio, C. Rol<strong>and</strong>o, <strong>and</strong> S. Ridella. Efficient<br />
computation <strong>of</strong> the correlation dimension from a time series on a<br />
LIW computer. Parallel Computing, 17(6–7):809–820, September<br />
1991. CODEN PACOEJ. ISSN 0167-8191 (print), 1872-7336<br />
(electronic).<br />
Culik:1993:ECW<br />
[CD93a] K. Culik <strong>and</strong> S. Dube. Efficient compression <strong>of</strong> wavelet coefficients<br />
for smooth <strong>and</strong> fractal-like data. Lecture Notes in Computer<br />
Science, 665(??):343–??, ???? 1993. CODEN LNCSD9.<br />
ISSN 0302-9743 (print), 1611-3349 (electronic).<br />
Culik:1993:AAR<br />
[CD93b] Karel Culik II <strong>and</strong> Simant Dube. Affine automata <strong>and</strong> related<br />
techniques for generation <strong>of</strong> complex images. Theoretical<br />
Computer Science, 116(2):373–398, August 16, 1993.<br />
CODEN TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=<br />
116&issue=2&aid=1241.<br />
Cheskidov:2007:EDF<br />
[CDP07] Alexey Cheskidov, Charles R. Doering, <strong>and</strong> Nikola P. Petrov.<br />
Energy dissipation in fractal-forced flow. Journal <strong>of</strong> Mathematical<br />
Physics, 48(6):065208, June 2007. CODEN JMAPAQ. ISSN 0022-<br />
2488 (print), 1089-7658 (electronic), 1527-2427. URL http://<br />
jmp.aip.org/resource/1/jmapaq/v48/i6/p065208_s1.<br />
Crutchfield:1986:C<br />
[CFPS86] James P. Crutchfield, J. Doyne Farmer, Norman H. Packard, <strong>and</strong><br />
Robert S. Shaw. Chaos. Scientific American, 255(6):46–?? (Intl.<br />
ed. 38–49), December 1986. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic).<br />
Chakrabarty:2009:FUI<br />
[CGC + 09] Rajan K. Chakrabarty, Mark A. Garro, Shammah Chancellor,<br />
Christopher Herald, <strong>and</strong> Hans Moosmüller. FracMAP:<br />
a user-interactive package for performing simulation <strong>and</strong>
REFERENCES 61<br />
orientation-specific morphology analysis <strong>of</strong> fractal-like solid nanoagglomerates.<br />
Computer Physics Communications, 180(8):1376–<br />
1381, August 2009. CODEN CPHCBZ. ISSN 0010-4655 (print),<br />
1879-2944 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0010465509000411.<br />
Chacon:2002:MFB<br />
[CGH02] R. Chacón <strong>and</strong> A. Martínez García-Hoz. Modifying fractal basin<br />
boundaries <strong>by</strong> reshaping periodic terms. Journal <strong>of</strong> Mathematical<br />
Physics, 43(7):3586–3591, July 2002. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427.<br />
Cioczek-Georges:1995:CMA<br />
[CGM95] R. Cioczek-Georges <strong>and</strong> B. B. M<strong>and</strong>elbrot. A class <strong>of</strong> micropulses<br />
<strong>and</strong> antipersistent fractional Brownian motion. Stochastic Processes<br />
<strong>and</strong> Their Applications, 60(1):1–18, ???? 1995. CODEN<br />
STOPB7. ISSN 0304-4149 (print), 1879-209X (electronic).<br />
Cioczek-Georges:1996:AMF<br />
[CGM96] R. Cioczek-Georges <strong>and</strong> B. B. M<strong>and</strong>elbrot. Alternative micropulses<br />
<strong>and</strong> fractional Brownian motion. Stochastic Processes<br />
<strong>and</strong> Their Applications, 64(2):143–152, ???? 1996. CODEN<br />
STOPB7. ISSN 0304-4149 (print), 1879-209X (electronic).<br />
Cioczek-Georges:1995:SFS<br />
[CGMST95] Renata Cioczek-Georges, Benoît B. M<strong>and</strong>elbrot, Gennady<br />
Samorodnitsky, <strong>and</strong> Murad S. Taqqu. Stable fractal sums <strong>of</strong><br />
pulses: The cylindrical case. Bernoulli: <strong>of</strong>ficial journal <strong>of</strong> the<br />
Bernoulli Society for Mathematical Statistics <strong>and</strong> Probability, 1<br />
(3):201–216, September 1995. CODEN ???? ISSN 1350-7265<br />
(print), 1573-9759 (electronic).<br />
stable/3318477.<br />
URL http://www.jstor.org/<br />
Chakerian:1984:RBF<br />
[Cha84] Don Chakerian. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. College Mathematics Journal, 15(2):<br />
175–177, March 1984. CODEN ???? ISSN 0746-8342 (print),<br />
1931-1346 (electronic).<br />
2686529.<br />
URL http://www.jstor.org/stable/<br />
Chang:2011:CGR<br />
[Cha11] Harry M. Chang. Constructing n-gram rules for natural language<br />
models through exploring the limitation <strong>of</strong> the Zipf–
REFERENCES 62<br />
M<strong>and</strong>elbrot law. Computing: Archiv für Informatik und Numerik,<br />
91(3):241–264, March 2011. CODEN CMPTA2. ISSN<br />
0010-485X (print), 1436-5057 (electronic). URL http://www.<br />
springerlink.com/openurl.asp?genre=article&issn=0010-<br />
485X&volume=91&issue=3&spage=241.<br />
Cohen:1953:RBF<br />
[CHR54] Marcel Cohen, André-G. Haudricourt, <strong>and</strong> Maxime Rodinson.<br />
Review: Structure formelle des textes et Communication, dans<br />
word, vol 10 <strong>by</strong> Benoît M<strong>and</strong>elbrot; L’ingénieur en tant que<br />
stratége: theéories du comportement. Une définition de la cybernétique;<br />
applications linguistiques. Extraits de la Revue<br />
générale des Sciences, t. LXII, nos 9-10, 1955 <strong>by</strong> Benoît M<strong>and</strong>elbrot.<br />
L’Année sociologique (1940/1948-), Troisième Série, 7<br />
(??):501–502, ???? 1953–1954. CODEN ???? ISSN ???? URL<br />
http://www.jstor.org/stable/27885319.<br />
Chu:2011:MSF<br />
[Chu11] Pong P. Chu. M<strong>and</strong>elbrot set fractal accelerator. In Embedded<br />
SoPC Design with Nios II Processor <strong>and</strong> VHDL Examples, chapter<br />
21, pages 637–670. Wiley, New York, NY, USA, 2011. ISBN 1-<br />
118-00888-X (print), 1-118-14653-0 (online). LCCN TK7895.E42<br />
C48 2011.<br />
Chu:2012:MSF<br />
[Chu12] Pong P. Chu. M<strong>and</strong>elbrot set fractal accelerator. In Embedded<br />
SoPC Design with Nios II Processor <strong>and</strong> Verilog Examples, pages<br />
681–714. Wiley, New York, NY, USA, 2012. ISBN 1-118-01103-1<br />
(print), 1-118-30972-3 (e-book). URL http://onlinelibrary.<br />
wiley.com/doi/10.1002/9781118309728.ch22/summary.<br />
Ciarcia:1988:CCCc<br />
[Cia88a] S. Ciarcia. Ciarcia’s circuit cellar. 3 A supercomputer. BYTE<br />
Magazine, 13(13):327–339, December 1988. CODEN BYTEDJ.<br />
ISSN 0360-5280.<br />
Ciarcia:1988:Sb<br />
[Cia88b] S. Ciarcia. A supercomputer. 2. BYTE Magazine, 13(12):399–<br />
406, November 1988. CODEN BYTEDJ. ISSN 0360-5280.<br />
Cifani:2011:DGM<br />
[CJK11] Simone Cifani, Espen R. Jakobsen, <strong>and</strong> Kenneth H. Karlsen.<br />
The discontinuous Galerkin method for fractal conservation laws.
REFERENCES 63<br />
IMA Journal <strong>of</strong> Numerical Analysis, 31(3):1090–1122, July 2011.<br />
CODEN IJNADH. ISSN 0272-4979 (print), 1464-3642 (electronic).<br />
URL http://imajna.oxfordjournals.org/content/<br />
31/3/1090.full.pdf+html.<br />
Culik:1993:PRS<br />
[CK93] Karel Culik, II <strong>and</strong> Jarkko Kari. Parametrized recurrent systems<br />
for image generation. Information Processing Letters, 48(6):267–<br />
274, December 20, 1993. CODEN IFPLAT. ISSN 0020-0190<br />
(print), 1872-6119 (electronic).<br />
Caso:1996:NRF<br />
[CK96] Gregory Caso <strong>and</strong> C.-C. J. Kuo. New results for fractal/wavelet<br />
image compression. Proceedings <strong>of</strong> the SPIE — The International<br />
Society for Optical Engineering, 2727(??):536–547, ???? 1996.<br />
CODEN ???? ISSN ????<br />
Chen:1987:AZL<br />
[CL87] Ye-Sho Chen <strong>and</strong> Ferdin<strong>and</strong> F. Leimkuhler. Analysis <strong>of</strong> Zipf’s law:<br />
An index approach. Information Processing <strong>and</strong> Management, 23<br />
(??):171–182, ???? 1987. CODEN IPMADK. ISSN 0306-4573<br />
(print), 1873-5371 (electronic).<br />
Clark:1986:FHR<br />
[Cla86] Nigel N. Clark. Fractal harmonics <strong>and</strong> rugged materials. Nature,<br />
319(6055):625, February 20, 1986. CODEN NATUAS. ISSN<br />
0028-0836 (print), 1476-4687 (electronic). URL http://www.<br />
nature.com/nature/journal/v319/n6055/pdf/319625a0.pdf.<br />
Clarke:2010:CIF<br />
[Cla10a] Arthur C. Clarke. The colours <strong>of</strong> infinity — the film script. In<br />
Lesmoir-Gordon [LG10b], chapter 9, pages 144–172. ISBN 1-<br />
84996-485-8. LCCN QA614.86 .C65 2010. URL http://www.<br />
springerlink.com/content/978-1-84996-485-2. with contributions<br />
<strong>by</strong> Ian Stewart, Sir Arthur C. Clarke, Benoît B. M<strong>and</strong>elbrot,<br />
Michael <strong>and</strong> Louisa Barnsley, Will Rood, Gary Flake, <strong>and</strong><br />
David Pennock.<br />
Clarke:2010:EFU<br />
[Cla10b] Arthur C. Clarke. Exploring the fractal universe. In Lesmoir-<br />
Gordon [LG10b], chapter 2, pages 24–37. ISBN 1-84996-485-8.<br />
LCCN QA614.86 .C65 2010. URL http://www.springerlink.<br />
com/content/978-1-84996-485-2. with contributions <strong>by</strong> Ian
REFERENCES 64<br />
Stewart, Sir Arthur C. Clarke, Benoît B. M<strong>and</strong>elbrot, Michael<br />
<strong>and</strong> Louisa Barnsley, Will Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Cabrelli:1991:DFA<br />
[CM91] Carlos Cabrelli <strong>and</strong> Ursula Molter. Density <strong>of</strong> fuzzy attractors:<br />
a step towards the solution <strong>of</strong> the inverse problem for fractals<br />
<strong>and</strong> other sets. In Byrnes et al. [BBBH92], pages 163–173. ISBN<br />
0-7923-1804-8. LCCN ????<br />
Coppens:1999:ENG<br />
[CM99] Marc-Olivier Coppens <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Easy <strong>and</strong> natural<br />
generation <strong>of</strong> multifractals: Multiplying harmonics <strong>of</strong> periodic<br />
functions. In Michel Dekking, editor, Fractals: Theory <strong>and</strong> applications<br />
in engineering, pages 113–122. Springer-Verlag, Berlin,<br />
Germany / Heidelberg, Germany / London, UK / etc., 1999.<br />
Cairns:1977:E<br />
[CMBL77] Stewart S. Cairns, Benoît B. M<strong>and</strong>elbrot, I. Barsotti, <strong>and</strong> Andrew<br />
Lenard. Editorial. The Mathematical Intelligencer, 1(3):125–126,<br />
September 1977. CODEN MAINDC. ISSN 0343-6993 (print),<br />
1866-7414 (electronic). URL http://www.springerlink.com/<br />
content/n1205964h8854601/.<br />
Chester:2007:MTF<br />
[CMP07] Stuart Chester, Charles Meneveau, <strong>and</strong> Marc B. Parlange. Modeling<br />
turbulent flow over fractal trees with renormalized numerical<br />
simulation. Journal <strong>of</strong> Computational Physics, 225(1):427–<br />
448, July 1, 2007. CODEN JCTPAH. ISSN 0021-9991 (print),<br />
1090-2716 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0021999106005997.<br />
Carpinteri:2006:IHP<br />
[CMR06] Alberto Carpinteri, Yiu-Wing Mai, <strong>and</strong> Robert O. Ritchie, editors.<br />
ICF11 2005: honour <strong>and</strong> plenary lectures presented at<br />
the 11th International Conference on Fracture (ICF11), held in<br />
Turin, Italy, on March 20–25, 2005, volume 131(1–2). Springer-<br />
Verlag, Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., 2006. ISBN 1-4020-4626-X (cloth), 1-4020-5423-8 (e-book).<br />
LCCN TA409 .I44 2005eb.<br />
Caso:1996:FMF<br />
[COK96] Gregory Caso, Pere Obrador, <strong>and</strong> C.-C. J. Kuo. Fast methods for<br />
fractal image encoding. Proceedings <strong>of</strong> the SPIE — The Inter-
REFERENCES 65<br />
national Society for Optical Engineering, 2501(??):583–594, ????<br />
1996. CODEN ???? ISSN ????<br />
Cont:2010:MB<br />
[Con10] Rama Cont. M<strong>and</strong>elbrot, Benoît. In Encyclopedia <strong>of</strong> Quantitative<br />
Finance, page ?? Wiley, New York, NY, USA, 2010. ISBN 0-470-<br />
06160-X, 0-470-05756-4. LCCN HG106 .E53 2010. Four volumes.<br />
Cortini:1990:FMS<br />
[Cor90] Massimo Cortini. Fractal magmatic systems. Nature, 346(6281):<br />
226, July 19, 1990. CODEN NATUAS. ISSN 0028-0836 (print),<br />
1476-4687 (electronic). URL http://www.nature.com/nature/<br />
journal/v346/n6281/pdf/346226b0.pdf.<br />
Conci:1998:FIA<br />
[CP98] Aura Conci <strong>and</strong> Claudia Belmiro Proença. A fractal image analysis<br />
system for fabric inspection based on a box-counting method.<br />
Computer Networks <strong>and</strong> ISDN Systems, 30(20–21):1887–1895,<br />
November 12, 1998. CODEN CNISE9. ISSN 0169-7552 (print),<br />
1879-2324 (electronic). URL http://www.elsevier.com/cas/<br />
tree/store/comnet/sub/1998/30/20-21/2019.pdf.<br />
Casey:1994:SSF<br />
[CR94] Stephen D. Casey <strong>and</strong> Nicholas F. Reingold. Self-similar fractal<br />
sets: Theory <strong>and</strong> procedure. IEEE Computer Graphics <strong>and</strong><br />
Applications, 14(3):73–82, May 1994. CODEN ICGADZ. ISSN<br />
0272-1716 (print), 1558-1756 (electronic).<br />
Cheng:1987:FNB<br />
[CS87] Zheming Cheng <strong>and</strong> Robert Savit. Fractal <strong>and</strong> nonfractal behavior<br />
in Lévy flights. Journal <strong>of</strong> Mathematical Physics, 28(3):592–<br />
597, March 1987. CODEN JMAPAQ. ISSN 0022-2488 (print),<br />
1089-7658 (electronic), 1527-2427. URL http://jmp.aip.org/<br />
resource/1/jmapaq/v28/i3/p592_s1.<br />
Chen:1991:IUS<br />
[CT91] Min Chen <strong>and</strong> Roger Temam. Incremental unknowns for solving<br />
partial differential equations. Numerische Mathematik, 59<br />
(3):255–271, June 1991. CODEN NUMMA7. ISSN 0029-599X<br />
(print), 0945-3245 (electronic).
REFERENCES 66<br />
Chen:1998:BSC<br />
[CZ98] Ning Chen <strong>and</strong> Weiyong Zhu. Bud-sequence conjecture on M<br />
fractal image <strong>and</strong> M-J conjecture between C <strong>and</strong> Z planes from<br />
z ←− zw + c (w = a + ib). Computers <strong>and</strong> Graphics, 22(4):<br />
537–546, August 1, 1998. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.<br />
com/cas/tree/store/cag/sub/1998/22/4/585.pdf.<br />
Drakopoulos:1999:GCS<br />
[DAB99] V. Drakopoulos, N. Argyropoulos, <strong>and</strong> A. Böhm. Generalized<br />
computation <strong>of</strong> Schröder iteration functions to motivate<br />
families <strong>of</strong> Julia <strong>and</strong> M<strong>and</strong>elbrot-like sets. SIAM Journal<br />
on Numerical Analysis, 36(2):417–435, April 1999. CO-<br />
DEN SJNAAM. ISSN 0036-1429 (print), 1095-7170 (electronic).<br />
URL http://epubs.siam.org/sam-bin/dbq/article/<br />
31736; http://www.jstor.org/stable/2587202.<br />
deAmo:2012:MAM<br />
[dACSS12] Enrique de Amo, Manuel Díaz Carrillo, Juan Fernández Sánchez,<br />
<strong>and</strong> Antonio Salmerón. Moments <strong>and</strong> associated measures<br />
<strong>of</strong> copulas with fractal support. Applied Mathematics <strong>and</strong><br />
Computation, 218(17):8634–8644, May 1, 2012. CODEN<br />
AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300312001476.<br />
David<strong>of</strong>f:1990:DF<br />
[Dav90] Frank David<strong>of</strong>f. Dynamic fractals. Computers <strong>and</strong> Graphics, 14<br />
(1):135–136, ???? 1990. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic).<br />
David:1995:TFB<br />
[Dav95] Hollister David. Two fractals based on Keplerian solids. Computers<br />
<strong>and</strong> Graphics, 19(6):885–888, November–December 1995.<br />
CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/cag/cas_sub/browse/browse.cgi?year=1995&volume=<br />
19&issue=6&aid=9500075.<br />
Davis:1996:IIM<br />
[Dav96] Ge<strong>of</strong>frey Davis. Implicit image models in image fractal compression.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for
REFERENCES 67<br />
Optical Engineering, 2569(??):88–97, ???? 1996. CODEN ????<br />
ISBN 0-8194-2213-4. ISSN ????<br />
Doescher:2003:INC<br />
[DdCVR03] Erwin Doescher, Haroldo F. de Campos Velho, <strong>and</strong> Fern<strong>and</strong>o M.<br />
Ramos. Isothermal <strong>and</strong> natural convection flows in fractal cavities.<br />
Applied Numerical Mathematics: Transactions <strong>of</strong> IMACS,<br />
47(3–4):407–419, December 2003. CODEN ANMAEL. ISSN<br />
0168-9274 (print), 1873-5460 (electronic).<br />
Diebold:2010:KUU<br />
[DDH10] Francis X. Diebold, Neil A. Doherty, <strong>and</strong> Richard Herring, editors.<br />
The known, the unknown, <strong>and</strong> the unknowable in financial<br />
risk management: measurement <strong>and</strong> theory advancing practice.<br />
Princeton University Press, Princeton, NJ, USA, 2010. ISBN<br />
0-691-12883-9 (hardcover). viii + 380 pp. LCCN HD61 .K598<br />
2010.<br />
Duarte:1999:NAD<br />
[DdMdO + 99] L. G. S. Duarte, L. A. C. P. da Mota, H. P. de Oliveira, R. O.<br />
Ramos, <strong>and</strong> J. E. F. Skea. Numerical analysis <strong>of</strong> dynamical<br />
systems <strong>and</strong> the fractal dimension <strong>of</strong> boundaries. Computer<br />
Physics Communications, 119(2–3):256–271, June 2, 1999. CO-<br />
DEN CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0010465599002040.<br />
Dekking:2012:PMP<br />
[Dek12] Michel Dekking. Paperfolding morphisms, planefilling curves,<br />
<strong>and</strong> fractal tiles. Theoretical Computer Science, 414(1):20–37,<br />
January 13, 2012. CODEN TCSCDI. ISSN 0304-3975 (print),<br />
1879-2294 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0304397511008085.<br />
Devooght:1957:LZM<br />
[Dev57] J. Devooght. Sur la loi de Zipf–M<strong>and</strong>elbrot. (French) [on the<br />
Zipf–M<strong>and</strong>elbrot law]. Acad. Roy. Belg. Bull. Cl. Sci. (5), 43<br />
(??):244–251, ???? 1957. CODEN ???? ISSN 0001-4141.<br />
Devaney:1990:TCO<br />
[Dev90] Robert L. Devaney. Transition to chaos: the orbit diagram <strong>and</strong><br />
the M<strong>and</strong>elbrot set. Science television, New York, NY, USA, 1990.<br />
ISBN 1-878310-08-9. LCCN QA447 .T7 1990. One VHS videocassette<br />
(65 min.).
REFERENCES 68<br />
Devaney:1991:ODM<br />
[Dev91] Robert L. Devaney. The orbit diagram <strong>and</strong> the M<strong>and</strong>elbrot set.<br />
College Mathematics Journal, 22(1):23–38, January 1991. CO-<br />
DEN ???? ISSN 0746-8342 (print), 1931-1346 (electronic). URL<br />
http://www.jstor.org/stable/2686735.<br />
Devaney:1992:FAD<br />
[Dev92] Robert L. Devaney. Review: Fractals: An Animated Discussion<br />
with Edward Lorenz <strong>and</strong> Benoît M<strong>and</strong>elbrot, <strong>by</strong> H. Jurgens, D.<br />
Saupe, C. Zahlten, H.-O. Peitgen. SIAM Review, 34(2):333–335,<br />
June 1992. CODEN SIREAD. ISSN 0036-1445 (print), 1095-<br />
7200 (electronic). URL http://link.aip.org/link/siread/<br />
v34/i2/p333/s1; http://www.jstor.org/stable/2132866.<br />
Devaney:1996:FGM<br />
[Dev96] Robert L. Devaney. Fractal geometry <strong>of</strong> the M<strong>and</strong>elbrot set. Key<br />
Curriculum Press, Berkeley, CA, USA, 1996. ISBN 1-55953-224-<br />
6. LCCN QA614.86 .F732 1996. One videocassette (70 min.).<br />
Devaney:1999:MSF<br />
[Dev99] Robert L. Devaney. The M<strong>and</strong>elbrot set, the Farey tree, <strong>and</strong><br />
the Fibonacci sequence. American Mathematical Monthly, 106<br />
(4):289–302, April 1999. CODEN AMMYAE. ISSN 0002-9890<br />
(print), 1930-0972 (electronic).<br />
stable/2589552.<br />
URL http://www.jstor.org/<br />
Devaney:2004:MVM<br />
[Dev04] Robert L. Devaney. M<strong>and</strong>elbrot’s vision for mathematics. Proceedings<br />
<strong>of</strong> Symposia in Pure Mathematics, 72(1):??, ???? 2004.<br />
CODEN ???? ISSN ???? URL http://www.math.yale.edu/<br />
m<strong>and</strong>elbrot/web_pdfs/jubileeletters.pdf.<br />
Dewdney:1985:CRC<br />
[Dew85a] A. K. Dewdney. Computer recreations: a computer microscope<br />
zooms in for a look at the most complex object in mathematics.<br />
Scientific American, 253(2):17–21, 24, August 1985. CO-<br />
DEN SCAMAC. ISSN 0036-8733 (print), 1946-7087 (electronic).<br />
Exploring the M<strong>and</strong>elbrot set.<br />
Dewdney:1985:CRE<br />
[Dew85b] A. K. Dewdney. Computer recreations: Exploring the M<strong>and</strong>elbrot<br />
set. Computer Graphics, 20(4):16–??, ???? 1985. CODEN
REFERENCES 69<br />
CGRADI, CPGPBZ. ISSN 0097-8930 (print), 1558-4569 (electronic).<br />
Dewdney:1987:CRBb<br />
[Dew87] A. K. Dewdney. Computer recreations: Beauty <strong>and</strong> pr<strong>of</strong>undity:<br />
the M<strong>and</strong>elbrot set <strong>and</strong> a flock <strong>of</strong> its cousins called Julia. Scientific<br />
American, 257(5):140–145, November 1987. CODEN SCA-<br />
MAC. ISSN 0036-8733 (print), 1946-7087 (electronic).<br />
Dewdney:1989:CRT<br />
[Dew89] A. K. Dewdney. Computer recreations: a tour <strong>of</strong> the M<strong>and</strong>elbrot<br />
set aboard the M<strong>and</strong>elbus. Scientific American, 260(2):108–111,<br />
February 1989. CODEN SCAMAC. ISSN 0036-8733 (print),<br />
1946-7087 (electronic).<br />
Drewes:1995:GSA<br />
[DHKT95] F. Drewes, A. Habel, H.-J. Kreowski, <strong>and</strong> S. Taubenberger.<br />
Generating self-affine fractals <strong>by</strong> collage grammars. Theoretical<br />
Computer Science, 145(1–2):159–187, July 10, 1995.<br />
CODEN TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/tcs/cas_sub/browse/browse.cgi?year=1995&volume=<br />
145&issue=1-2&aid=1759.<br />
Demko:1985:CFO<br />
[DHN85] Stephen Demko, Laurie Hodges, <strong>and</strong> Bruce Naylor. Construction<br />
<strong>of</strong> fractal objects with iterated function systems. Computer<br />
Graphics, 19(3):271–278, July 1985.<br />
CPGPBZ. ISSN 0097-8930.<br />
CODEN CGRADI,<br />
Devaney:2006:CDT<br />
[DK06] Robert L. Devaney <strong>and</strong> Linda Keen, editors. Complex dynamics:<br />
twenty-five years after the appearance <strong>of</strong> the M<strong>and</strong>elbrot set:<br />
proceedings <strong>of</strong> an AMS-IMS-SIAM Joint Summer Research Conference<br />
on Complex Dynamics — Twenty-five Years after the<br />
Appearance <strong>of</strong> the M<strong>and</strong>elbrot Set, June 13–17, 2004, Snowbird,<br />
Utah, volume 396 <strong>of</strong> Contemporary mathematics. American Mathematical<br />
Society, Providence, RI, USA, 2006. ISBN 0-8218-3625-<br />
0. ISSN 0271-4132. LCCN QA614.86.A47 2004.<br />
Dixon:1994:DSA<br />
[DKW94a] A. R. Dixon, G. H. Kir<strong>by</strong>, <strong>and</strong> D. P. M. Wills. A data structure<br />
for artificial terrain generation. Computer Graphics Forum, 13(1):
REFERENCES 70<br />
37–47, March 1994. CODEN CGFODY. ISSN 0167-7055 (print),<br />
1467-8659 (electronic).<br />
Dixon:1994:TCD<br />
[DKW94b] A. R. Dixon, G. H. Kir<strong>by</strong>, <strong>and</strong> D. P. M. Wills. Towards context<br />
dependent interpolation <strong>of</strong> digital elevation models. Computer<br />
Graphics Forum, 13(3):C/23–C/32, ???? 1994. CODEN CG-<br />
FODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Daccord:1987:FPC<br />
[DL87] Gérard Daccord <strong>and</strong> Rol<strong>and</strong> Lenorm<strong>and</strong>. Fractal patterns from<br />
chemical dissolution. Nature, 325(6099):41–43, January 1, 1987.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v325/<br />
n6099/pdf/325041a0.pdf.<br />
Daubechies:1992:TSD<br />
[DL92] Ingrid Daubechies <strong>and</strong> Jeffrey C. Lagarias. Two-scale difference<br />
equations. II. Local regularity, infinite products <strong>of</strong> matrices <strong>and</strong><br />
fractals. SIAM Journal on Mathematical Analysis, 23(4):1031–<br />
1079, July 1992. CODEN SJMAAH. ISSN 0036-1410 (print),<br />
1095-7154 (electronic).<br />
Kristiansen:2004:EOZ<br />
[dLKHS04] Kai de Lange Kristiansen, Geir Helgesen, <strong>and</strong> Arne T. Skjeltorp.<br />
Experimental observation <strong>of</strong> Zipf–M<strong>and</strong>elbrot relation. Physica<br />
A, 335(3-4):413–420, ???? 2004. CODEN PHYSAG. ISSN 0378-<br />
4371 (print), 1873-2119 (electronic).<br />
Kristiansen:2006:BTZ<br />
[dLKHS06] K. de Lange Kristiansen, G. Helgesen, <strong>and</strong> A. T. Skjeltorp. Braid<br />
theory <strong>and</strong> Zipf–M<strong>and</strong>elbrot relation used in microparticle dynamics.<br />
European Physical Journal B: Condensed Matter <strong>and</strong><br />
Complex Systems, 51(3):363–371, June 2006. CODEN EPJBFY.<br />
ISSN 1434-6028 (print), 1434-6036 (electronic).<br />
Dongarra:1999:RAP<br />
[DLM99] J. J. Dongarra, E. Luque, <strong>and</strong> Tomas Margalef, editors. Recent<br />
advances in parallel virtual machine <strong>and</strong> message passing interface:<br />
6th European PVM/MPI Users’ Group Meeting, Barcelona,<br />
Spain, September 26–29, 1999: proceedings, volume 1697 <strong>of</strong> Lecture<br />
Notes in Computer Science. Springer-Verlag, Berlin, Germany<br />
/ Heidelberg, Germany / London, UK / etc., 1999. CODEN
REFERENCES 71<br />
???? ISBN 3-540-66549-8 (s<strong>of</strong>tcover). ISSN 0302-9743 (print),<br />
1611-3349 (electronic). LCCN QA76.58 E973 1999.<br />
Davis:1993:SSR<br />
[DLS93] A. B. Davis, S. Lovejoy, <strong>and</strong> D. Schertzer. Supercomputer simulation<br />
<strong>of</strong> radiative transfer inside multifractal cloud models. In<br />
Keevallik <strong>and</strong> Karner [KK93], pages 112–115. ISBN 0-937194-28-<br />
X. LCCN QC912.3.I57 1992.<br />
Damerau:1973:TDW<br />
[DM73] F. J. Damerau <strong>and</strong> Benoît M<strong>and</strong>elbrot. Tests <strong>of</strong> the degree <strong>of</strong><br />
word clustering in samples <strong>of</strong> written English. Linguistics, 102<br />
(??):58–75, ???? 1973. CODEN ???? ISSN ????<br />
Dubuc:1992:CHP<br />
[DM92] Serge Dubuc <strong>and</strong> Abdul Malik. Convex hull <strong>of</strong> powers <strong>of</strong> a complex<br />
number, trinomial equations <strong>and</strong> the Farey sequence. Numerical<br />
Algorithms, 2(1):1–32, February 1992. CODEN NUA-<br />
LEG. ISSN 1017-1398 (print), 1572-9265 (electronic).<br />
Drakopoulos:2003:OPV<br />
[DMT03] V. Drakopoulos, N. Mimikou, <strong>and</strong> T. Theoharis. An overview<br />
<strong>of</strong> parallel visualisation methods for M<strong>and</strong>elbrot <strong>and</strong> Julia sets.<br />
Computers <strong>and</strong> Graphics, 27(4):635–646, August 2003. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
DePetrillo:1999:MDH<br />
[DR99] P. B. DePetrillo <strong>and</strong> U. Ruttimann. Method for determining<br />
the Hurst exponent <strong>of</strong> a fractal time series <strong>and</strong> its applications<br />
to EKG signal analysis. Clinical Pharmacology &<br />
Therapeutics, 65(2):158, February 1999. CODEN ???? ISSN<br />
???? URL http://www.nature.com/clpt/journal/v65/n2/<br />
pdf/clpt1999171a.pdf.<br />
Drewes:2001:TBG<br />
[Dre01] Frank Drewes. Tree-based generation <strong>of</strong> languages <strong>of</strong> fractals.<br />
Theoretical Computer Science, 262(1–2):377–414, July 6,<br />
2001. CODEN TCSCDI. ISSN 0304-3975 (print), 1879-2294<br />
(electronic). URL http://www.elsevier.nl/gej-ng/10/41/<br />
16/204/21/41/abstract.html; http://www.elsevier.nl/<br />
gej-ng/10/41/16/204/21/41/article.pdf.
REFERENCES 72<br />
Dufour:2010:SIH<br />
[DrKP10] Jean-Marie Dufour, Jeong ryeol Kim, <strong>and</strong> Franz C. Palm. Special<br />
issue: Heavy tails <strong>and</strong> Paretian distributions in empirical finance:<br />
a volume honoring Benoît M<strong>and</strong>elbrot, volume 17.2010,2 <strong>of</strong> Journal<br />
<strong>of</strong> empirical finance. Elsevier, Amsterdam, The Netherl<strong>and</strong>s,<br />
2010. 177–282 pp. LCCN ????<br />
Droniou:2010:NMF<br />
[Dro10] Jérôme Droniou. A numerical method for fractal conservation<br />
laws. Mathematics <strong>of</strong> Computation, 79(269):95–124, January<br />
2010. CODEN MCMPAF. ISSN 0025-5718 (print), 1088-<br />
6842 (electronic). URL http://www.ams.org/journals/mcom/<br />
2010-79-269/S0025-5718-09-02293-5/home.html; http:/<br />
/www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-<br />
02293-5/S0025-5718-09-02293-5.pdf.<br />
Dixon:1996:GGA<br />
[DSB96] Stephen L. Dixon, Kevin L. Steele, <strong>and</strong> Robert P. Burton. Generation<br />
<strong>and</strong> graphical analysis <strong>of</strong> M<strong>and</strong>elbrot <strong>and</strong> Julia sets in<br />
more than four dimensions. Computers <strong>and</strong> Graphics, 20(3):<br />
451–456, May–June 1996. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.<br />
cgi?year=1996&volume=20&issue=3&aid=9600015.<br />
Davy:1990:SCP<br />
[DSS90] Ph. Davy, A. Sornette, <strong>and</strong> D. Sornette. Some consequences <strong>of</strong><br />
a proposed fractal nature <strong>of</strong> continental faulting. Nature, 348<br />
(6296):56–58, November 1, 1990. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v348/n6296/pdf/348056a0.pdf.<br />
daSilva:1999:SEM<br />
[dSVTM99] Luciano R. da Silva, Raúl O. Vallejos, Constantino Tsallis,<br />
<strong>and</strong> Renio S. Mendes. Spectrum energy multifractality <strong>and</strong><br />
equilibrium thermodynamics. Computer Physics Communications,<br />
121–122(??):737, September/October 1999. CODEN<br />
CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0010465506701400.
REFERENCES 73<br />
Dumont:1989:SNF<br />
[DT89] J.-M. Dumont <strong>and</strong> Alain Thomas. Systémes de numération et<br />
fonction fractales relatifs aux substitutions. (French) [Systems <strong>of</strong><br />
numeration <strong>and</strong> fractal functions relative to substitutions]. Theoretical<br />
Computer Science, 65(2):153–169, June 28, 1989. CODEN<br />
TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
Dorren:1991:MEN<br />
[DT91] H. J. S. Dorren <strong>and</strong> A. Tip. Maxwell’s equations for nonsmooth<br />
media: fractal-shaped <strong>and</strong> pointlike objects. Journal <strong>of</strong><br />
Mathematical Physics, 32(11):3060–3070, November 1991. CO-<br />
DEN JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic),<br />
1527-2427. URL http://jmp.aip.org/resource/1/jmapaq/<br />
v32/i11/p3060_s1.<br />
Dubuc:1989:TFS<br />
[Dub89] Benoît Dubuc. On Takagi fractal surfaces. Canadian Mathematical<br />
Bulletin = Bulletin canadien de mathématiques, 32(??):<br />
377–384, ???? 1989. CODEN CMBUA3. ISSN 0008-4395 (print),<br />
1496-4287 (electronic).<br />
Duran:1978:XFM<br />
[Dur78] Carlos Durán. A xeometría fractal de M<strong>and</strong>elbrot. Grial, ??(62):<br />
465–468, ???? 1978. CODEN ???? ISSN ???? URL http://<br />
www.jstor.org/stable/29749665.<br />
Domaszewicz:1993:SLS<br />
[DV93] Jaroslaw Domaszewicz <strong>and</strong> Vinay A. Vaishampayan. Structural<br />
limitations <strong>of</strong> self-affine <strong>and</strong> partially self-affine fractal compression.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for<br />
Optical Engineering, 2094(??):1498–1507, ????<br />
???? ISSN ????<br />
1993. CODEN<br />
deVries:1993:WLD<br />
[dVdRL93] Pedro de Vries, Hans de Raedt, <strong>and</strong> Ad Lagendijk. Wave<br />
localization in disordered <strong>and</strong> fractal systems. Computer<br />
Physics Communications, 75(3):298–310, May 1993. CODEN<br />
CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
001046559390046F.
REFERENCES 74<br />
deVega:1996:SGE<br />
[dVSC96] H. J. de Vega, N. Sánchez, <strong>and</strong> F. Combes. Self-gravity<br />
as an explanation <strong>of</strong> the fractal structure <strong>of</strong> the interstellar<br />
medium. Nature, 383(6595):56–58, September 5, 1996. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v383/<br />
n6595/pdf/383056a0.pdf.<br />
Dyson:1978:RCI<br />
[Dys78] Freeman Dyson. Review: Characterizing irregularity: Fractals.<br />
Form, Chance, <strong>and</strong> Dimension, <strong>by</strong> Benoît B. M<strong>and</strong>elbrot. Science,<br />
200(4342):677–678, May 12, 1978. CODEN SCIEAS. ISSN<br />
0036-8075 (print), 1095-9203 (electronic). URL http://www.<br />
jstor.org/stable/1746976.<br />
Epstein:1973:VAT<br />
[EB73] Saul T. Epstein <strong>and</strong> Michael F. Barnsley. A variational approach<br />
to the theory <strong>of</strong> multipoint Padé approximants. Journal <strong>of</strong> Mathematical<br />
Physics, 14(3):314–325, March 1973. CODEN JMAPAQ.<br />
ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-2427. URL<br />
http://jmp.aip.org/resource/1/jmapaq/v14/i3/p314_s1.<br />
Edgar:2000:FFP<br />
[Edg00] G. A. Edgar. The forest fractal puzzle. Computers <strong>and</strong> Graphics,<br />
24(1):133–141, February 2000. CODEN COGRD2. ISSN<br />
0097-8493 (print), 1873-7684 (electronic). URL http://www.<br />
elsevier.nl/gej-ng/10/13/20/47/27/38/abstract.html;<br />
http://www.elsevier.nl/gej-ng/10/13/20/47/27/38/article.<br />
pdf.<br />
Egolf:1994:RBF<br />
[EG94] David A. Egolf <strong>and</strong> Henry S. Greenside. Relation between fractal<br />
dimension <strong>and</strong> spatial correlation length for extensive chaos. Nature,<br />
369(6476):129–131, May 12, 1994. CODEN NATUAS. ISSN<br />
0028-0836 (print), 1476-4687 (electronic). URL http://www.<br />
nature.com/nature/journal/v369/n6476/pdf/369129a0.pdf.<br />
Egghe:1999:LZM<br />
[Egg99] L. Egghe. On the law <strong>of</strong> Zipf–M<strong>and</strong>elbrot for multi-word phrases.<br />
Journal <strong>of</strong> the American Society for Information Science, 50(3):<br />
233–241, ???? 1999. CODEN ???? ISSN ????
REFERENCES 75<br />
Eke:2005:FNC<br />
[EHH05] Andras Eke, Péter Hermán, <strong>and</strong> Márton Hajnal. Fractal <strong>and</strong><br />
noisy CBV dynamics in humans: influence <strong>of</strong> age <strong>and</strong> gender.<br />
Journal <strong>of</strong> Cerebral Blood Flow <strong>and</strong> Metabolism, 26(7):891–898,<br />
November 16, 2005. CODEN JCBMDN. ISSN 0271-678X (print),<br />
1559-7016 (electronic). URL http://www.nature.com/jcbfm/<br />
journal/v26/n7/full/9600243a.html.<br />
Evertsz:1991:BHM<br />
[EJM91] Carl J. G. Evertsz, Peter W. Jones, <strong>and</strong> Benoît B. M<strong>and</strong>elbrot.<br />
Behaviour <strong>of</strong> the harmonic measure at the bottom <strong>of</strong> fjords. Journal<br />
<strong>of</strong> Physics A (Mathematical <strong>and</strong> General), 24(8):1889–1901,<br />
???? 1991. CODEN JPHAC5. ISSN 0305-4470 (print), 1361-<br />
6447 (electronic).<br />
24/1889.<br />
URL http://stacks.iop.org/0305-4470/<br />
Eftekhari:2006:SED<br />
[EKKR06] Ali Eftekhari, Mahmood Kazemzad, <strong>and</strong> Mansoor Keyanpour-<br />
Rad. Significant effect <strong>of</strong> dopant size on nanoscale fractal structure<br />
<strong>of</strong> polypyrrole film. Polymer Journal, 38(8):781–785, June<br />
30, 2006. CODEN ???? ISSN ???? URL http://www.nature.<br />
com/pj/journal/v38/n8/abs/pj2006105a.html.<br />
Evertsz:1992:HMA<br />
[EM92] Carl J. G. Evertsz <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Harmonic measure<br />
around a linearly self-similar tree. Journal <strong>of</strong> Physics A (Mathematical<br />
<strong>and</strong> General), 25(7):1781–1797, ???? 1992. CODEN<br />
JPHAC5. ISSN 0305-4470 (print), 1361-6447 (electronic). URL<br />
http://stacks.iop.org/0305-4470/25/1781.<br />
Evertsz:1992:EVF<br />
[EMW92a] Carl J. G. Evertsz, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Lionel Woog. Erratum:<br />
Variability <strong>of</strong> the form <strong>and</strong> <strong>of</strong> the harmonic measure for<br />
small <strong>of</strong>f-<strong>of</strong>f-lattice diffusion-limited aggregates [phys. rev. A 4 5,<br />
5798 (1992)]. Physical Review A (Atomic, Molecular, <strong>and</strong> Optical<br />
Physics), 45:8985–??, 1992. CODEN PLRAAN. ISSN 1050-2947<br />
(print), 1094-1622, 1538-4446, 1538-4519. URL http://link.<br />
aps.org/abstract/PRA/v45/e8985.<br />
Evertsz:1992:VFH<br />
[EMW92b] Carl J. G. Evertsz, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Lionel Woog. Variability<br />
<strong>of</strong> the form <strong>and</strong> <strong>of</strong> the harmonic measure for small <strong>of</strong>f-<strong>of</strong>flattice<br />
diffusion-limited aggregates. Physical Review A (Atomic,
REFERENCES 76<br />
Molecular, <strong>and</strong> Optical Physics), 45:5798–??, 1992. CODEN<br />
PLRAAN. ISSN 1050-2947 (print), 1094-1622, 1538-4446, 1538-<br />
4519. URL http://link.aps.org/abstract/PRA/v45/e5798.<br />
Engel:1993:MJS<br />
[Eng93] Alej<strong>and</strong>ro B. Engel. Morphosis <strong>of</strong> the Julia set <strong>of</strong> the real parameter<br />
family <strong>of</strong> complex quadratic maps. Computers <strong>and</strong> Graphics,<br />
17(3):315–319, May–June 1993. CODEN COGRD2. ISSN 0097-<br />
8493 (print), 1873-7684 (electronic).<br />
Entwistle:1989:JSA<br />
[Ent89] Ian D. Entwistle. Julia set art <strong>and</strong> fractals in the complex plane.<br />
Computers <strong>and</strong> Graphics, 13(3):389–392, ???? 1989. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Erzan:1995:FST<br />
[EPV95] A. Erzan, L. Pietronero, <strong>and</strong> A. Vespignani. The fixed-scale<br />
transformation approach to fractal growth. Reviews <strong>of</strong> Modern<br />
Physics, 67(3):545–604, July 1995. CODEN RMPHAT. ISSN<br />
0034-6861 (print), 1538-4527 (electronic), 1539-0756. URL http:<br />
//link.aps.org/doi/10.1103/RevModPhys.67.545; http:<br />
//rmp.aps.org/abstract/RMP/v67/i3/p545_1.<br />
Evertsz:1996:FGA<br />
[EPV96] C. J. G. (Carl J. G.) Evertsz, Heinz-Otto Peitgen, <strong>and</strong><br />
Richard Frederick Voss, editors. Fractal geometry <strong>and</strong> analysis:<br />
the M<strong>and</strong>elbrot festschrift, Curaçao 1995. World Scientific Publishing,<br />
Singapore; Philadelphia, PA, USA; River Edge, NJ, USA,<br />
1996. ISBN 981-02-2434-6. ISSN 0218-348X. LCCN QA614.86<br />
.F677 1996.<br />
Ewing:1992:AMS<br />
[ES92] John H. Ewing <strong>and</strong> Glenn Schober. The area <strong>of</strong> the M<strong>and</strong>elbrot<br />
set. Numerische Mathematik, 61(1):59–72, February 1992. CO-<br />
DEN NUMMA7. ISSN 0029-599X (print), 0945-3245 (electronic).<br />
Esposito:1997:IIS<br />
[Esp97] Dino Esposito. Inside Iterated Systems’ Fractal Development Kit<br />
— the Fractal Development Kit from Iterated Systems is a library<br />
that makes it possible for you to embed fractal-imaging<br />
capabilities into C/C++ Windows <strong>and</strong> Macintosh applications.<br />
Dr. Dobb’s Journal <strong>of</strong> S<strong>of</strong>tware Tools, 22(1):74–??, January 1997.<br />
CODEN DDJOEB. ISSN 1044-789X.
REFERENCES 77<br />
EstradaGallego:2011:BMG<br />
[Est11] Fern<strong>and</strong>o Estrada Gallego. Benoît M<strong>and</strong>elbrot (1924–2010): a<br />
Greek among Romans. History <strong>of</strong> Economic Ideas, 19(1):9–14,<br />
2011. CODEN ???? ISSN 1122-8792 (print), 1724-2169 (electronic).<br />
Ewing:1996:CJF<br />
[EW96] Gary J. Ewing <strong>and</strong> Christopher J. Woodruff. Comparison <strong>of</strong><br />
JPEG <strong>and</strong> fractal-based image compression on target acquisition<br />
<strong>by</strong> human observers. Optical Engineering, 35(1):284–288, January<br />
1996. CODEN OPEGAR. ISSN 0091-3286.<br />
Ewing:1995:CWS<br />
[Ewi95] John Ewing. Can we see the M<strong>and</strong>elbrot set? College Mathematics<br />
Journal, 26(2):90–99, March 1995. CODEN ???? ISSN 0746-<br />
8342 (print), 1931-1346 (electronic). URL http://www.jstor.<br />
org/stable/2687359.<br />
Fairthorne:1969:PDE<br />
[Fai69] Robert A. Fairthorne. Progress in documentation: Empirical hyperbolic<br />
distributions (Bradford–Zipf–M<strong>and</strong>elbrot) for bibliometric<br />
description <strong>and</strong> prediction. Journal <strong>of</strong> Documentation, 25(4):<br />
313–343, December 1969. CODEN JDOCAS. ISSN 0022-0418<br />
(print), 1758-7379 (electronic). Reprinted in [Fai05].<br />
Fairthorne:2005:PDE<br />
[Fai05] Robert A. Fairthorne. Progress in documentation: Empirical hyperbolic<br />
distributions (Bradford–Zipf–M<strong>and</strong>elbrot) for bibliometric<br />
description <strong>and</strong> prediction. Journal <strong>of</strong> Documentation, 61(2):<br />
171–193, ???? 2005. CODEN JDOCAS. ISSN 0022-0418 (print),<br />
1758-7379 (electronic). Reprint <strong>of</strong> [Fai69].<br />
Falconer:1985:GFS<br />
[Fal85] K. J. Falconer. The geometry <strong>of</strong> fractal sets, volume 85<br />
<strong>of</strong> Cambridge tracts in mathematics. Cambridge University<br />
Press, Cambridge, UK, 1985. ISBN 0-521-25694-1. xiv<br />
+ 162 pp. LCCN QA248 .F274 1985. URL http://<br />
www.loc.gov/catdir/toc/cam031/84012091.html; http:/<br />
/www.loc.gov/catdir/samples/cam031/84012091.html; http:<br />
//www.loc.gov/catdir/description/cam031/84012091.html.
REFERENCES 78<br />
Fama:1963:MSP<br />
[Fam63] Eugene F. Fama. M<strong>and</strong>elbrot <strong>and</strong> the stable Paretian hypothesis.<br />
The Journal <strong>of</strong> Business at the University <strong>of</strong> Chicago, 36(4):<br />
420–429, October 1963. CODEN ???? ISSN 0021-9398 (print),<br />
1537-5374 (electronic). URL http://www.jstor.org/stable/<br />
2350971.<br />
Farmer:2011:UTB<br />
[Far11] J. Doyne Farmer. The unsmooth trajectory <strong>of</strong> Benoît M<strong>and</strong>elbrot.<br />
Quantitative Finance, 11(2):157–158, ???? 2011. CODEN ????<br />
ISSN 1469-7688 (print), 1469-7696 (electronic).<br />
Fatou:1917:SRb<br />
[Fat17a] Pierre Fatou. Sur les substitutions rationnelles. (French) [On rational<br />
substitutions]. Comptes rendus de l’Académie des sciences,<br />
Paris, 165(??):992–995, ???? 1917. CODEN ???? ISSN ????<br />
Fatou:1917:SRFa<br />
[Fat17b] Pierre Fatou. Sur les substitutions rationnelles. (French) [On rational<br />
substitutions]. Comptes rendus de l’Académie des sciences,<br />
Paris, 164(??):806–808, ???? 1917. CODEN ???? ISSN ????<br />
Fern<strong>and</strong>ez-Barbero:1999:EPS<br />
[FBVdlN99] A. Fernández-Barbero, B. Vincent, <strong>and</strong> F. J. de las Nieves. Effect<br />
<strong>of</strong> the particle sign <strong>of</strong> charge on mesoscopic cluster fractal<br />
structures. Computer Physics Communications, 121–122<br />
(??):635, September/October 1999. CODEN CPHCBZ. ISSN<br />
0010-4655 (print), 1879-2944 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0010465506700406.<br />
Frame:2000:ICI<br />
[FC00] Michael Frame <strong>and</strong> Tatiana Cogevina. An infinite circle inversion<br />
limit set fractal. Computers <strong>and</strong> Graphics, 24(5):797–<br />
804, October 2000. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.nl/<br />
gej-ng/10/13/20/47/33/38/abstract.html; http://www.<br />
elsevier.nl/gej-ng/10/13/20/47/33/38/article.pdf.<br />
Fiete:2010:SQF<br />
[FdL10] Gregory A. Fiete <strong>and</strong> Alex de Lozanne. Seeing quantum fractals.<br />
Science, 327(5966):652–653, February 5, 2010. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.sciencemag.org/content/327/5966/652.full.pdf.
REFERENCES 79<br />
Ferson:1983:RBF<br />
[Fer83] Scott Ferson. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. Quarterly review <strong>of</strong> biology, 58(3):412–<br />
413, September 1983. CODEN QRBIAK. ISSN 0033-5770 (print),<br />
1539-7718 (electronic).<br />
2828658.<br />
URL http://www.jstor.org/stable/<br />
Fernau:1995:VLA<br />
[Fer95] Henning Fernau. Valuations <strong>of</strong> languages, with applications to<br />
fractal geometry. Theoretical Computer Science, 137(2):177–<br />
217, January 23, 1995. CODEN TCSCDI. ISSN 0304-3975<br />
(print), 1879-2294 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.<br />
cgi?year=1995&volume=137&issue=2&aid=1690.<br />
Feng:2009:FBB<br />
[FHD09] Benjamin Zhong Ming Feng, Changcheng Huang, <strong>and</strong> Michael<br />
Devetsikiotis. FISTE: a black box approach for end-to-end QoS<br />
management. ACM Transactions on Modeling <strong>and</strong> Computer<br />
Simulation, 19(4):16:1–16:??, October 2009. CODEN ATMCEZ.<br />
ISSN 1049-3301 (print), 1558-1195 (electronic).<br />
Finkel:1989:FDG<br />
[Fin89] David L. Finkel. Fractal displays <strong>of</strong> genomic DNA. I. Eco RI<br />
fractal lattice <strong>of</strong> buffalo rat. International Journal <strong>of</strong> Quantum<br />
Chemistry, 36(5):575–586, November 1989. CODEN IJQCB2.<br />
ISSN 0020-7608 (print), 1097-461X (electronic).<br />
Fisher:1992:DFI<br />
[Fis92] Yuval Fisher. A discussion <strong>of</strong> fractal image compression. In Heinz-<br />
Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe, editors,<br />
Chaos <strong>and</strong> Fractals: New Frontiers <strong>of</strong> Science, app. Appendix A,<br />
pages 903–919. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1992. ISBN 0-387-97903-4.<br />
Fisher:1995:NAF<br />
[Fis95] Yuval Fisher, editor. NATO ASI on Fractal Image Encoding <strong>and</strong><br />
Analysis: July 8–17, 1995, Trondheim, Norway. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK / etc.,<br />
1995. ISBN 3-540-63196-8. LCCN TA1637 .N38 1998.
REFERENCES 80<br />
FRANTZ:1991:MSC<br />
[FL91] Marny Frantz <strong>and</strong> Sylvia Lazarnick. The M<strong>and</strong>elbrot set in the<br />
classroom. The Mathematics Teacher, 84(3):173–177, ???? 1991.<br />
CODEN ???? ISSN 0025-5769. URL http://www.jstor.org/<br />
stable/27967086.<br />
Flam:1991:BFD<br />
[Fla91] Faye Flam. Beating a fractal drum. Science, 254(5038):<br />
1593, December 13, 1991. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/254/5038/1593.1.full.pdf.<br />
Fleury:1997:BFP<br />
[Fle97] Vincent Fleury. Branched fractal patterns in non-equilibrium<br />
electrochemical deposition from oscillatory nucleation <strong>and</strong><br />
growth. Nature, 390(6656):145–148, November 13, 1997. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v390/n6656/<br />
full/390145a0.html.<br />
Frame:2002:PFT<br />
[FM02a] Michael Frame <strong>and</strong> Benoît M<strong>and</strong>elbrot. Panorama <strong>of</strong> fractals <strong>and</strong><br />
their uses: an alphabetic wordbook-index. In Fractals, graphics,<br />
<strong>and</strong> mathematics education [FM02b], page ?? ISBN 0-88385-169-<br />
5. LCCN QA614.86 .F68424 2002. URL http://www.loc.gov/<br />
catdir/description/cam022/2001097388.html; http://www.<br />
loc.gov/catdir/toc/cam027/2001097388.html. Foreword <strong>by</strong><br />
Lynn Arthur Steen.<br />
Frame:2002:FGM<br />
[FM02b] Michael Frame <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Fractals, graphics, <strong>and</strong><br />
mathematics education. MAA notes. The Mathematical Association<br />
<strong>of</strong> America (MAA), Washington, DC, 2002. ISBN 0-88385-<br />
169-5. xiii + 206 pp. LCCN QA614.86 .F68424 2002. URL http:/<br />
/www.loc.gov/catdir/description/cam022/2001097388.html;<br />
http://www.loc.gov/catdir/toc/cam027/2001097388.html.<br />
Foreword <strong>by</strong> Lynn Arthur Steen.<br />
Faloutsos:1996:MSD<br />
[FMS96] Christos Faloutsos, Yossi Matias, <strong>and</strong> Abraham Silberschatz.<br />
Modeling skewed distribution using multifractals <strong>and</strong> the ‘80–<br />
20’ law. In Vijayaraman et al. [VBMS96], pages 307–317. ISBN
REFERENCES 81<br />
1-55860-382-4. LCCN QA76.9D3 I559 1996. URL http://www.<br />
vldb.org/dblp/db/conf/vldb/FaloutsosMS96.html.<br />
Ford:2004:DEM<br />
[For04] Roger Ford. Discovering <strong>and</strong> exploring M<strong>and</strong>elbrot set points<br />
with a graphing calculator. The Mathematics Teacher, 98(1):<br />
38–46, ???? 2004. CODEN ???? ISSN 0025-5769. URL http://<br />
www.jstor.org/stable/27971613.<br />
Fortescue:1989:NPU<br />
[FP89] Peter D. Fortescue <strong>and</strong> Ge<strong>of</strong>frey S. Puterbaugh. Note on the<br />
practical use <strong>of</strong> the VGA monitor for the display <strong>of</strong> fractal images.<br />
Computers <strong>and</strong> Graphics, 13(4):559–560, ???? 1989. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Flake:2010:SOS<br />
[FP10] Gary William Flake <strong>and</strong> David M. Pennock. Self-organization,<br />
self-regulation, <strong>and</strong> self-similarity on the fractal web. In Lesmoir-<br />
Gordon [LG10b], chapter 6, pages 88–119. ISBN 1-84996-485-8.<br />
LCCN QA614.86 .C65 2010. URL http://www.springerlink.<br />
com/content/978-1-84996-485-2. with contributions <strong>by</strong> Ian<br />
Stewart, Sir Arthur C. Clarke, Benoît B. M<strong>and</strong>elbrot, Michael<br />
<strong>and</strong> Louisa Barnsley, Will Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Foroutan-pour:1999:AIB<br />
[FpDS99] K. Foroutan-pour, P. Dutilleul, <strong>and</strong> D. L. Smith. Advances in<br />
the implementation <strong>of</strong> the box-counting method <strong>of</strong> fractal dimension<br />
estimation. Applied Mathematics <strong>and</strong> Computation,<br />
105(2–3):195–210, November 12, 1999. CODEN AMHCBQ.<br />
ISSN 0096-3003 (print), 1873-5649 (electronic). URL http://<br />
www.elsevier.com/cas/tree/store/amc/sub/1999/105/2-3/<br />
6317.pdf; http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/amc/cas_sub/browse/browse.cgi?year=1999&volume=<br />
105&issue=2-3&aid=6317.<br />
Frame:1992:NSA<br />
[FPR92] Michael Frame, A. G. Davis Philip, <strong>and</strong> Adam Robucci. A<br />
new scaling along the spike <strong>of</strong> the M<strong>and</strong>elbrot set. Computers<br />
<strong>and</strong> Graphics, 16(2):223–234, Summer 1992. CODEN COGRD2.<br />
ISSN 0097-8493 (print), 1873-7684 (electronic).
REFERENCES 82<br />
Frame:1992:GMS<br />
[FR92] Michael Frame <strong>and</strong> James Robertson. A generalized M<strong>and</strong>elbrot<br />
set <strong>and</strong> the role <strong>of</strong> critical points. Computers <strong>and</strong> Graphics, 16(1):<br />
35–40, ???? 1992. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic).<br />
Fern<strong>and</strong>ez-Ranada:1998:RFC<br />
[FR98] Antonio Fernández-Rañada. Review: Las formas de las cosas: La<br />
geometría fractal de la naturaleza <strong>by</strong> Benoît M<strong>and</strong>elbrot. Revista<br />
de libros, ??(24):21, December 1998. CODEN ???? ISSN ????<br />
URL http://www.jstor.org/stable/30228845.<br />
Frantz:1998:TFW<br />
[Fra98] Marc Frantz. Two functions whose powers make fractals. American<br />
Mathematical Monthly, 105(7):609–617, August/September<br />
1998. CODEN AMMYAE. ISSN 0002-9890 (print), 1930-0972<br />
(electronic).<br />
Fraysse:2007:GVM<br />
[Fra07] A. Fraysse. Generic validity <strong>of</strong> the multifractal formalism. SIAM<br />
Journal on Mathematical Analysis, 39(2):593–607, ???? 2007.<br />
CODEN SJMAAH. ISSN 0036-1410 (print), 1095-7154 (electronic).<br />
Friesen:2004:BRS<br />
[Fri04] John Friesen. Book review: Scott M<strong>and</strong>elbrote, Footprints <strong>of</strong> the<br />
Lion: Isaac Newton at Work. Exhibition at Cambridge University<br />
Library 9 October 2001–23 March 2002. Cambridge: Cambridge<br />
University Library, 2001. Pp. 142. ISBN 0-902205-58-7. $7.50<br />
(paperback). British Journal for the History <strong>of</strong> Science, 37(3):<br />
349–350, September 2004. CODEN BJHSAT. ISSN 0007-0874<br />
(print), 1474-001X (electronic). URL http://www.jstor.org/<br />
stable/4028130; http://www.jstor.org/stable/4028432.<br />
Fromhold:1997:FRT<br />
[Fro97] Mark Fromhold. Fractal resistance in a transistor. Nature, 386<br />
(6621):123–125, March 13, 1997. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v386/n6621/pdf/386123a0.pdf.
REFERENCES 83<br />
Fowler:1989:DSM<br />
[FSD89] Anthony D. Fowler, H. Eugene Stanley, <strong>and</strong> Gérard Daccord.<br />
Disequilibrium silicate mineral textures: fractal <strong>and</strong> non-fractal<br />
features. Nature, 341(6238):134–138, September 14, 1989. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v341/<br />
n6238/pdf/341134a0.pdf.<br />
Fisher:1994:CFM<br />
[FSR94] Y. Fisher, T. P. Shen, <strong>and</strong> D. Rogovin. A comparison <strong>of</strong> fractal<br />
methods with discrete cosine transform (DCT) <strong>and</strong> wavelets.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for Optical<br />
Engineering, 2304-16(??):132–143, July 28–29, 1994. CODEN<br />
PSISDG. ISSN 0277-786X (print), 1996-756X (electronic). URL<br />
http://inls.ucsd.edu/y/Fractals/spie.ps.<br />
Forte:1995:TGF<br />
[FV95] Bruno Forte <strong>and</strong> Edward Vrscay. Theory <strong>of</strong> generalized fractal<br />
transforms. In Fisher [Fis95], pages xiii + 368. ISBN 3-540-63196-<br />
8. LCCN TA1637 .N38 1998.<br />
Gharavi-Alkhansari:1993:FBI<br />
[GAH93] Mohammad Gharavi-Alkhansari <strong>and</strong> Thomas S. Huang. A<br />
fractal-based image block-coding algorithm. In Anonymous, editor,<br />
PCS’93: 1993 Picture Coding Symposium proceedings, 17–19<br />
March, 1993, Swiss Federal Institute <strong>of</strong> Technology, Lausanne,<br />
Switzerl<strong>and</strong>, page 1.7. Swiss Federal Institute <strong>of</strong> Technology, Lausanne,<br />
Switzerl<strong>and</strong>, March 1993. LCCN TA1632.P611p 1993.<br />
Gaite:2006:CSZ<br />
[Gai06] José Gaite. Cut-out sets <strong>and</strong> the Zipf law for fractal voids. Phys.<br />
D, 223(2):248–255, ???? 2006. CODEN PDNPDT. ISSN 0167-<br />
2789 (print), 1872-8022 (electronic).<br />
Gefen:1983:PTF<br />
[GAM83] Yuval Gefen, Amnon Aharony, <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Phase<br />
transitions on fractals. I. Quasilinear lattices. Journal <strong>of</strong> Physics<br />
A (Mathematical <strong>and</strong> General), 16(6):1267–1278, ???? 1983. CO-<br />
DEN JPHAC5. ISSN 0305-4470 (print), 1361-6447 (electronic).<br />
URL http://stacks.iop.org/0305-4470/16/1267.
REFERENCES 84<br />
Gefen:1984:PTFc<br />
[GAM84] Yeval Gefen, Amnon Aharony, <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Phase<br />
transitions on fractals. III. Infinitely ramified lattices. Journal<br />
<strong>of</strong> Physics A (Mathematical <strong>and</strong> General), 17(6):1277–1289,<br />
???? 1984. CODEN JPHAC5. ISSN 0305-4470 (print), 1361-<br />
6447 (electronic). URL http://stacks.iop.org/0305-4470/<br />
17/1277.<br />
Gefen:1981:SFF<br />
[GAMK81] Yuval Gefen, Amnon Aharony, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Scott<br />
Kirkpatrick. Solvable fractal family, <strong>and</strong> its possible relation to<br />
the backbone at percolation. Physical Review Letters, 47(25):<br />
1771–1774, ???? 1981. CODEN PRLTAO. ISSN 0031-9007<br />
(print), 1079-7114 (electronic), 1092-0145. URL http://link.<br />
aps.org/abstract/PRL/v47/e1771.<br />
Gardner:1978:MGW<br />
[Gar78] M. Gardner. Mathematical games: White <strong>and</strong> brown music, fractal<br />
curves <strong>and</strong> 1/f fluctuations. Scientific American, 238(4):16–<br />
32, April 1978. CODEN SCAMAC. ISSN 0036-8733 (print),<br />
1946-7087 (electronic).<br />
Garnett:1988:CAD<br />
[Gar88a] Lucy Garnett. A computer algorithm for determining the Hausdorff<br />
dimension <strong>of</strong> certain fractals. Mathematics <strong>of</strong> Computation,<br />
51(183):291–300, July 1988. CODEN MCMPAF. ISSN 0025-5718<br />
(print), 1088-6842 (electronic).<br />
Garrison:1988:EEM<br />
[Gar88b] Peter Garrison. Expeditionary equipment for M<strong>and</strong>elbrot adventurers.<br />
C Users Journal, 6(6):75–??, June 1988. CODEN ????<br />
ISSN 0898-9788.<br />
Garrison:1991:RBB<br />
[Gar91] Lionel Garrison. Review: The Beauty <strong>and</strong> the Complexity <strong>of</strong> the<br />
M<strong>and</strong>elbrot Set: School Edition, <strong>by</strong> John H. Hubbard. The Mathematics<br />
Teacher, 84(4):334, ???? 1991. CODEN ???? ISSN<br />
0025-5769. URL http://www.jstor.org/stable/27967167.<br />
Gefen:1984:PTFb<br />
[GASM84] Yuval Gefen, Amnon Aharony, Yonathan Shapir, <strong>and</strong> Benoît B.<br />
M<strong>and</strong>elbrot. Phase transitions on fractals. II. Sierpiński gaskets.
REFERENCES 85<br />
Journal <strong>of</strong> Physics A (Mathematical <strong>and</strong> General), 17(2):435–444,<br />
???? 1984. CODEN JPHAC5. ISSN 0305-4470 (print), 1361-6447<br />
(electronic). URL http://stacks.iop.org/0305-4470/17/435.<br />
Gujar:1993:TGF<br />
[GBCK93] Uday G. Gujar, Virendra C. Bhavsar, Stephen Y. M. Choi, <strong>and</strong><br />
Prem K. Kalra. Traversed geometric fractals. IEEE Computer<br />
Graphics <strong>and</strong> Applications, 13(5):61–67, September 1993. CO-<br />
DEN ICGADZ. ISSN 0272-1716 (print), 1558-1756 (electronic).<br />
Grossu:2009:VTE<br />
[GBR + 09] I. V. Grossu, C. Besliu, M. V. Rusu, Al. Jipa, C. C. Bordeianu,<br />
<strong>and</strong> D. Felea. Visual tool for estimating the fractal dimension<br />
<strong>of</strong> images. Computer Physics Communications, 180(10):1999–<br />
2001, October 2009. CODEN CPHCBZ. ISSN 0010-4655 (print),<br />
1879-2944 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0010465509001635.<br />
Gozen:2010:FAR<br />
[GDC + 10] Irep Gözen, Paul Dommersnes, Ilja Czolkos, Aldo Jesorka, Tatsiana<br />
Lobovkina, Owe Orwar, et al. Fractal avalanche ruptures in<br />
biological membranes. Nature Materials, 9(11):908–912, October<br />
10, 2010. CODEN NMAACR. ISSN 1476-1122 (print), 1476-4660<br />
(electronic). URL http://www.nature.com/nmat/journal/v9/<br />
n11/full/nmat2854.html.<br />
Grant-Duff:1996:PH<br />
[GDH96] Z. N. Grant-Duff <strong>and</strong> P. G. Harrison. Parallelism via homomorphisms.<br />
Parallel Processing Letters, 6(2):279–295, June 1996. CO-<br />
DEN PPLTEE. ISSN 0129-6264.<br />
Giarrusso:1995:PPH<br />
[GF95] Dante Giarrusso <strong>and</strong> Yuval Fisher. A parameterization <strong>of</strong> the<br />
period 3 hyperbolic components <strong>of</strong> the M<strong>and</strong>elbrot set. Proceedings<br />
<strong>of</strong> the American Mathematical Society, 123(12):3731–3737,<br />
December 1995. CODEN PAMYAR. ISSN 0002-9939 (print),<br />
1088-6826 (electronic).<br />
2161901.<br />
URL http://www.jstor.org/stable/<br />
Grossu:2010:NVV<br />
[GFB + 10] I. V. Grossu, D. Felea, C. Besliu, Al. Jipa, C. C. Bordeianu,<br />
E. Stan, <strong>and</strong> T. Esanu. A new version <strong>of</strong> Visual [Basic]
REFERENCES 86<br />
tool for estimating the fractal dimension <strong>of</strong> images. Computer<br />
Physics Communications, 181(4):831–832, April 2010. CO-<br />
DEN CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S001046550900397X.<br />
Guerin:1998:TDS<br />
[GH98] Charles-Antoine Guerin <strong>and</strong> Matthias Holschneider. Timedependent<br />
scattering on fractal measures. Journal <strong>of</strong> Mathematical<br />
Physics, 39(8):4165–4194, August 1998. CODEN JMAPAQ.<br />
ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-2427.<br />
Getz:2004:GMF<br />
[GH04] Chonat Getz <strong>and</strong> Janet Helmstedt. Graphics with Mathematica:<br />
fractals, Julia sets, patterns <strong>and</strong> natural forms. Elsevier, Amsterdam,<br />
The Netherl<strong>and</strong>s, 2004. ISBN 0-444-51760-X (hardback),<br />
0-444-51774-X (CD-ROM). vii + 322 pp. LCCN QA76.95 .G48<br />
2004. Includes CD-ROM.<br />
Ghidaglia:1986:FDA<br />
[Ghi86] J.-M. Ghidaglia. On the fractal dimension <strong>of</strong> attractors for viscous<br />
incompressible fluid flows. SIAM Journal on Mathematical<br />
Analysis, 17(5):1139–1157, September 1986. CODEN SJMAAH.<br />
ISSN 0036-1410 (print), 1095-7154 (electronic).<br />
Gibbs:1993:PF<br />
[Gib93] W. Wayt Gibbs. Practical fractal. Scientific American, 269<br />
(1):107–108, July 1993. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic). URL http://www.nature.com/<br />
scientificamerican/journal/v269/n1/pdf/scientificamerican0793-<br />
107.pdf.<br />
Gilbert:1986:FDS<br />
[Gil86] William J. Gilbert. The fractal dimension <strong>of</strong> sets derived from<br />
complex bases. Canadian Mathematical Bulletin = Bulletin canadien<br />
de mathématiques, 29(??):495–500, ???? 1986. CODEN CM-<br />
BUA3. ISSN 0008-4395 (print), 1496-4287 (electronic).<br />
Giles:2004:BMF<br />
[Gil04] Jim Giles. Benoît M<strong>and</strong>elbrot: Father <strong>of</strong> fractals. Nature,<br />
432(7015):266–267, November 17, 2004. CODEN NAT-<br />
UAS. ISSN 0028-0836 (print), 1476-4687 (electronic). URL<br />
http://www.nature.com/nature/journal/v432/n7015/full/<br />
432266a.html.
REFERENCES 87<br />
Gintz:2002:CGA<br />
[Gin02] Terry W. Gintz. Chaos <strong>and</strong> graphics: Artist’s statement<br />
CQUATS—a non-distributive quad algebra for 3D renderings <strong>of</strong><br />
M<strong>and</strong>elbrot <strong>and</strong> Julia sets. Computers <strong>and</strong> Graphics, 26(2):367–<br />
370, April ??, 2002. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.elsevier.com/gejng/10/13/20/68/41/42/abstract.html.<br />
Gilbert:2003:FBT<br />
[GK03] Anna Gilbert <strong>and</strong> Howard Karl<strong>of</strong>f. On the fractal behavior <strong>of</strong><br />
TCP. In ACM [ACM03], pages 297–306. ISBN 1-58113-674-9.<br />
LCCN QA75.5 .A22 2003. ACM order number 508030.<br />
Gupta:2003:BGF<br />
[GKL03] A. Gupta, R. Krauthgamer, <strong>and</strong> J. R. Lee. Bounded geometries,<br />
fractals, <strong>and</strong> low-distortion embeddings. In IEEE [IEE03], pages<br />
534–543. CODEN ASFPDV. ISBN 0-7695-2040-5. ISSN 0272-<br />
5428. LCCN QA76 .S979 2003. URL http://ieeexplore.ieee.<br />
org/iel5/8767/27770/01238226.pdf. IEEE Computer Society<br />
Order Number PR02040.<br />
Gelernter:1961:BRM<br />
[GM61] H. L. Gelernter <strong>and</strong> Benoît M<strong>and</strong>elbrot. Book review: S. M.<br />
Ulam, A Collection <strong>of</strong> Mathematical Problems, (Tracts in Pure<br />
<strong>and</strong> Applied Mathematics, Number 8) $5.00, 1960 Interscience,<br />
New York 150. Information <strong>and</strong> Control, 4(1):81–82, March<br />
1961. CODEN IFCNA4. ISSN 0019-9958 (print), 1878-2981<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0019995861800405.<br />
Gernstein:1964:RWM<br />
[GM64] George L. Gernstein <strong>and</strong> Benoît M<strong>and</strong>elbrot. R<strong>and</strong>om walk<br />
models for the spike activity <strong>of</strong> a single neuron. Biophysical<br />
Journal, 4(1 (part 1)):41–68, January 1964. CODEN<br />
BIOJAU. ISSN 0006-3495 (print), 1542-0086 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0006349564867680.<br />
Given:1983:DFL<br />
[GM83] James A. Given <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Diffusion on fractal<br />
lattices <strong>and</strong> the fractal Einstein relation. Journal <strong>of</strong> Physics A
REFERENCES 88<br />
(Mathematical <strong>and</strong> General), 16(15):L565–L569, ???? 1983. CO-<br />
DEN JPHAC5. ISSN 0305-4470 (print), 1361-6447 (electronic).<br />
URL http://stacks.iop.org/0305-4470/16/L565.<br />
Given:1984:CTP<br />
[GM84a] James A. Given <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Comment on transport<br />
processes on fractal structures. Journal <strong>of</strong> Physics A (Mathematical<br />
<strong>and</strong> General), 17(9):1937–1939, ???? 1984. CODEN<br />
JPHAC5. ISSN 0305-4470 (print), 1361-6447 (electronic). URL<br />
http://stacks.iop.org/0305-4470/17/1937.<br />
Given:1984:NMP<br />
[GM84b] James A. Given <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. A new model <strong>of</strong><br />
percolation clusters. Journal <strong>of</strong> Statistical Physics, 36(5–6):<br />
545, ???? 1984. CODEN JSTPSB. ISSN 0022-4715 (print),<br />
1572-9613 (electronic). URL http://www.springerlink.com/<br />
content/l745uv6w7n3m8835/.<br />
Gutzwiller:1988:IMM<br />
[GM88] Martin C. Gutzwiller <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Invariant multifractal<br />
measures in chaotic Hamiltonian systems, <strong>and</strong> related<br />
structures. Physical Review Letters, 60(8):673–676, ???? 1988.<br />
CODEN PRLTAO. ISSN 0031-9007 (print), 1079-7114 (electronic),<br />
1092-0145. URL http://link.aps.org/abstract/PRL/<br />
v60/e673.<br />
Gefen:1980:CPF<br />
[GMA80] Yuval Gefen, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Amnon Aharony. Critical<br />
phenomena on fractal lattices. Physical Review Letters, 45<br />
(11):855–858, ???? 1980. CODEN PRLTAO. ISSN 0031-9007<br />
(print), 1079-7114 (electronic), 1092-0145. URL http://link.<br />
aps.org/abstract/PRL/v45/e855.<br />
Grisson:1998:CAA<br />
[GMA + 98] Scott Grisson, Janet McAndless, Omar Ahmad, Christopher Stapleton,<br />
Adele Newton, Celia Pearce, Ryan Ulyate, <strong>and</strong> Rick Parent,<br />
editors. Conference abstracts <strong>and</strong> applications: SIGGRAPH<br />
98, July 14–21, 1998, Orl<strong>and</strong>o, FL, Computer Graphics. ACM<br />
Press, New York, NY 10036, USA, 1998. ISBN 1-58113-046-5,<br />
1-58113-048-1 (CD-ROM). LCCN T385 .S54 1998b. URL http:<br />
//info.acm.org/pubs/contents/proceedings/graph/. ACM<br />
order number for CD-ROM: 435984. ACM order number: 435983.
REFERENCES 89<br />
Gefen:1984:PDS<br />
[GMAK84] Yuval Gefen, B. B. M<strong>and</strong>elbrot, A. Aharony, <strong>and</strong> A. Kapitulnik.<br />
Partial-dimensional sequences <strong>and</strong> percolation. Journal <strong>of</strong> Statistical<br />
Physics, 36(5–6):827–830, ???? 1984. CODEN JSTPSB.<br />
ISSN 0022-4715 (print), 1572-9613 (electronic). URL http://<br />
www.springerlink.com/content/j815gu7668r33v43/.<br />
Gefen:1983:GIH<br />
[GMMA83] Yuval Gefen, Yigal Meir, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Amnon<br />
Aharony. Geometric implementation <strong>of</strong> hypercubic lattices with<br />
noninteger dimensionality, <strong>by</strong> use <strong>of</strong> low lacunarity fractal lattices.<br />
Physical Review Letters, 50(3):145–148, ???? 1983. CO-<br />
DEN PRLTAO. ISSN 0031-9007 (print), 1079-7114 (electronic),<br />
1092-0145. URL http://link.aps.org/abstract/PRL/v50/<br />
e145.<br />
Gisin:2009:EEV<br />
[GMV09] Vladimir Gisin, Andrey Markov, <strong>and</strong> Igor Vinukov. Estimation<br />
<strong>of</strong> extreme values <strong>of</strong> returns using the Zipf–M<strong>and</strong>elbrot flow. International<br />
Journal <strong>of</strong> Pure <strong>and</strong> Applied Mathematics, 50(2):245–<br />
250, ???? 2009. CODEN ???? ISSN 1311-8080.<br />
G<strong>of</strong>finet:1991:NSC<br />
[G<strong>of</strong>91] Daniel G<strong>of</strong>finet. Number systems with a complex base: a fractal<br />
tool for teaching topology. American Mathematical Monthly, 98<br />
(3):249–255, March 1991. CODEN AMMYAE. ISSN 0002-9890<br />
(print), 1930-0972 (electronic).<br />
Gomory:2010:BM<br />
[Gom10] Ralph Gomory. Benoît M<strong>and</strong>elbrot (1924–2010). Nature, 468<br />
(7322):378, November 17, 2010. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v468/n7322/full/468378a.html.<br />
GonzalezRodriguez:1998:TRM<br />
[Gon98] Jose Angel Gonzalez Rodriguez. A tutorial <strong>and</strong> recipe for moving<br />
fractal trees. Computers <strong>and</strong> Graphics, 22(2–3):301–305, March<br />
6, 1998. CODEN COGRD2. ISSN 0097-8493 (print), 1873-<br />
7684 (electronic). URL http://www.elsevier.com/cas/tree/<br />
store/cag/sub/1998/22/2-3/548.pdf.
REFERENCES 90<br />
Good:1978:RBF<br />
[Goo78] I. J. Good. Review: Fractals: Form, Chance, <strong>and</strong> Dimension, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. Journal <strong>of</strong> the American Statistical Association,<br />
73(362):438, June 1978. CODEN JSTNAL. ISSN 0162-<br />
1459 (print), 1537-274X (electronic). URL http://www.jstor.<br />
org/stable/2286682.<br />
Good:1984:BRB<br />
[Goo84a] I. J. Good. Book review: The Fractal Geometry <strong>of</strong> Nature<br />
(Benoît B. M<strong>and</strong>elbrot). SIAM Review, 26:131–??, 1984. CO-<br />
DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic).<br />
URL http://link.aip.org/link/siread/v26/i1/p131/s1.<br />
Good:1984:RBF<br />
[Goo84b] I. J. Good. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong> Benoît<br />
B. M<strong>and</strong>elbrot. SIAM Review, 26(1):131–132, January 1984. CO-<br />
DEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic).<br />
URL http://www.jstor.org/stable/2029696.<br />
Good:1991:RBS<br />
[Goo91] I. J. Good. Review: The Science <strong>of</strong> Fractal Images. <strong>by</strong> Heinz-Otto<br />
Peitgen, Dietmar Saupe, M. F. Barnsley, R. L. Devaney, B. B.<br />
M<strong>and</strong>elbrot, R. F. Voss, Y. Fisher, M. McGuire. SIAM Review,<br />
33(3):496–499, September 1991. CODEN SIREAD. ISSN 0036-<br />
1445 (print), 1095-7200 (electronic). URL http://www.jstor.<br />
org/stable/2031463.<br />
Grebogi:1987:CSA<br />
[GOY87] Celso Grebogi, Edward Ott, <strong>and</strong> James A. Yorke. Chaos, strange<br />
attractors, <strong>and</strong> fractal basin boundaries in nonlinear dynamics.<br />
Science, 238(4827):632–638, October 30, 1987. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.sciencemag.org/content/238/4827/632.full.pdf.<br />
Garcia-Pelayo:1992:NF<br />
[GPS92] Ricardo García-Pelayo <strong>and</strong> William C. Schieve. Noisy fractals.<br />
Journal <strong>of</strong> Mathematical Physics, 33(2):570–577, February<br />
1992. CODEN JMAPAQ. ISSN 0022-2488 (print), 1089-7658<br />
(electronic), 1527-2427. URL http://jmp.aip.org/resource/<br />
1/jmapaq/v33/i2/p570_s1.
REFERENCES 91<br />
Groller:1992:FSM<br />
[Gro92] E. Groller. Fractals <strong>and</strong> solid modeling. Computer Graphics Forum,<br />
11(3):C415–C424, C484–C485, ???? 1992. CODEN CG-<br />
FODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Grunwald:2005:BRB<br />
[Gru05] Eric Grunwald. Book review: Benoît M<strong>and</strong>elbrot <strong>and</strong> Richard<br />
L. Hudson, The (mis)behaviour <strong>of</strong> markets. The Mathematical<br />
Intelligencer, 27(3):77–79, September 2005. CODEN MAINDC.<br />
ISSN 0343-6993 (print), 1866-7414 (electronic). URL http://<br />
www.springerlink.com/content/32551765mu871utp/.<br />
Gurevich:2007:MAT<br />
[GT07] B. M. Gurevich <strong>and</strong> A. A. Tempelman. Multifractal analysis <strong>of</strong><br />
time averages for continuous vector functions on configuration<br />
space. Theory <strong>of</strong> Probability <strong>and</strong> its Applications, 51(1):78–91,<br />
???? 2007. CODEN TPRBAU. ISSN 0040-585X (print), 1095-<br />
7219 (electronic).<br />
Gonzalez:2011:EDA<br />
[GTL11] S. González, A. R. Thornton, <strong>and</strong> S. Luding. An eventdriven<br />
algorithm for fractal cluster formation. Computer Physics<br />
Communications, 182(9):1842–1845, September 2011. CODEN<br />
CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S001046551000456X.<br />
Guerin:2001:NGF<br />
[Gué01] Charles-Antoine Guérin. A note on the generalized fractal dimensions<br />
<strong>of</strong> a probability measure. Journal <strong>of</strong> Mathematical Physics,<br />
42(12):5871–5875, December 2001. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427.<br />
Guivarch:1987:RSE<br />
[Gui87] Yves Guivarc’h. Remarques sur les solutions d’une équation fonctionnelle<br />
non linéaire de Benoît M<strong>and</strong>elbrot. C. R. Acad. Sci.<br />
Paris Sér. I Math., 305(4):139–141, ???? 1987. CODEN CAS-<br />
MEI. ISSN 0249-6291.<br />
Gomes:1989:FDF<br />
[GV89] M. A. F. Gomes <strong>and</strong> G. L. Vasconcelos. Fragmentation dynamics<br />
in fractal <strong>and</strong> Euclidean systems. Computer Physics
REFERENCES 92<br />
Communications, 54(2–3):257–261, June/July 1989. CODEN<br />
CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
0010465589900891.<br />
H:1988:FS<br />
[H.88] J. H. Fractal shorth<strong>and</strong>. Scientific American, 258(2):<br />
28, February 1988. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic). URL http://www.nature.com/<br />
scientificamerican/journal/v258/n2/pdf/scientificamerican0288-<br />
28a.pdf.<br />
Hadamard:1988:HDD<br />
[Had88] Jacques Hadamard. How I did not discover Relativity. The<br />
Mathematical Intelligencer, 10(2):65–67, June 1988. CODEN<br />
MAINDC. ISSN 0343-6993 (print), 1866-7414 (electronic). URL<br />
http://www.springerlink.com/content/l2q468845183710u/.<br />
Translated <strong>by</strong> I. H. Rose. Edited <strong>by</strong> Benoît B. M<strong>and</strong>elbrot.<br />
Hallee:1996:RBF<br />
[Hal96] Alan P. Hallee. Review: The Fractal Geometry <strong>of</strong> the M<strong>and</strong>elbrot<br />
Set <strong>by</strong> Robert L. Devaney. The Mathematics Teacher, 89(6):518,<br />
???? 1996. CODEN ???? ISSN 0025-5769. URL http://www.<br />
jstor.org/stable/27969886.<br />
Hamzaoui:1995:CCS<br />
[Ham95] Raouf Hamzaoui. Codebook clustering <strong>by</strong> self-organizing maps<br />
for fractal image compression. In Fisher [Fis95], pages xiii + 368.<br />
ISBN 3-540-63196-8. LCCN TA1637 .N38 1998. URL ftp://<br />
ftp.informatik.uni-freiburg.de/papers/fractal/Hamz95.<br />
ps.gz.<br />
Hart:1990:RBB<br />
[Har90] Eric W. Hart. Review: The Beauty <strong>and</strong> the Complexity <strong>of</strong> the<br />
M<strong>and</strong>elbrot Set: University Edition, <strong>by</strong> John H. Hubbard. The<br />
Mathematics Teacher, 83(8):686, ???? 1990. CODEN ???? ISSN<br />
0025-5769. URL http://www.jstor.org/stable/27966920.<br />
Hovi:1996:GIL<br />
[HASM96] J.-P. Hovi, Amnon Aharony, Dietrich Stauffer, <strong>and</strong> Benoît B.<br />
M<strong>and</strong>elbrot. Gap independence <strong>and</strong> lacunarity in percolation<br />
clusters. Physical Review Letters, 77:877–??, 1996. CODEN PRL-<br />
TAO. ISSN 0031-9007 (print), 1079-7114 (electronic), 1092-0145.<br />
URL http://link.aps.org/abstract/PRL/v77/e877.
REFERENCES 93<br />
Hart:1995:SHC<br />
[HCF95] John C. Hart, Wayne O. Cochran, <strong>and</strong> Patrick J. Flynn. Similarity<br />
hashing: a computer vision solution to the inverse problem <strong>of</strong><br />
linear fractals. In Fisher [Fis95], pages xiii + 368. ISBN 3-540-<br />
63196-8. LCCN TA1637 .N38 1998.<br />
Hart:1991:EAR<br />
[HD91] John C. Hart <strong>and</strong> Thomas A. DeFanti. Efficient antialiased<br />
rendering <strong>of</strong> 3-D linear fractals. Computer Graphics, 25(4):91–<br />
100, July 1991. CODEN CGRADI, CPGPBZ. ISSN 0097-8930.<br />
URL http://www.acm.org:80/pubs/citations/proceedings/<br />
graph/122718/p91-hart/.<br />
Heldt:1992:FDA<br />
[Hel92] Gregory Heldt. Fractal dimension <strong>of</strong> airspaces <strong>of</strong> preterm rabbit<br />
lungs. Pediatric Research, 32(5):634, November 1992. CODEN<br />
???? ISSN ???? URL http://www.nature.com/pr/journal/<br />
v32/n5/pdf/pr1992452a.pdf.<br />
Hertling:2005:MSC<br />
[Her05] Peter Hertling. Is the M<strong>and</strong>elbrot set computable? Mathematical<br />
Logic Quarterly, 51(1):5–18, January 2005. CODEN ???? ISSN<br />
????<br />
Higgs:2011:IFA<br />
[Hig11] Rowan Higgs. Imaging: Fractal analysis for CHD mortality. Nature<br />
Reviews Cardiology, 8(2):62, February 2011. CODEN ????<br />
ISSN ???? URL http://www.nature.com/nrcardio/journal/<br />
v8/n2/full/nrcardio.2010.212.html.<br />
Hirsch:1989:OCR<br />
[Hir89] Morris W. Hirsch. Opinion: Chaos, rigor, <strong>and</strong> hype: James Gleick,<br />
Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> John Franks. The Mathematical<br />
Intelligencer, 11(3):6–13, September 1989. CODEN MAINDC.<br />
ISSN 0343-6993 (print), 1866-7414 (electronic). URL http://<br />
www.springerlink.com/content/v02l6108766n06h1/.<br />
Hirst:1994:FLR<br />
[Hir94] Bill Hirst. Fractal l<strong>and</strong>scapes: from the real world. Cornerhouse,<br />
Manchester, UK, 1994. ISBN 0-948797-24-X (cased), 0-948797-<br />
23-1 (paperback). ???? pp. LCCN TR647.H57 A4 1994. $24.95.<br />
Photographs <strong>by</strong> Bill Hirst with an introduction <strong>by</strong> Benoît M<strong>and</strong>elbrot.
REFERENCES 94<br />
Huillet:1994:CSS<br />
[HJ94] Thierry Huillet <strong>and</strong> Bernard Jeannet. On a class <strong>of</strong> “skewed” selfsimilar<br />
<strong>and</strong> hyperbolic fractals. Journal <strong>of</strong> Mathematical Physics,<br />
35(12):6511–6524, December 1994. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427. URL http:<br />
//jmp.aip.org/resource/1/jmapaq/v35/i12/p6511_s1.<br />
Herman:2001:FBP<br />
[HKE01] Peter Hermán, László Kocsis, <strong>and</strong> Andras Eke. Fractal branching<br />
Pattern in the pial vasculature in the cat. Journal <strong>of</strong><br />
Cerebral Blood Flow <strong>and</strong> Metabolism, 21(6):741–753, June 2001.<br />
CODEN JCBMDN. ISSN 0271-678X (print), 1559-7016 (electronic).<br />
URL http://www.nature.com/jcbfm/journal/v21/<br />
n6/full/9591109a.html.<br />
Heckel:2011:IMI<br />
[HKHP11] Frank Heckel, Olaf Konrad, Horst Karl Hahn, <strong>and</strong> Heinz-Otto<br />
Peitgen. Interactive 3D medical image segmentation with energyminimizing<br />
implicit functions. Computers <strong>and</strong> Graphics, 35(2):<br />
275–287, April 2011. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0097849310001925.<br />
Herman:2005:FCS<br />
[HKS + 05] Peter Herman, Ikuhiro Kida, Basavaraju G. Sanganahalli, Fahmeed<br />
Hyder, <strong>and</strong> Andras Eke. Fractal correlation structure<br />
in fMRI data <strong>of</strong> rat brain. Journal <strong>of</strong> Cerebral Blood<br />
Flow <strong>and</strong> Metabolism, 25(1s):S379, July 15, 2005. CODEN<br />
JCBMDN. ISSN 0271-678X (print), 1559-7016 (electronic).<br />
URL http://www.nature.com/jcbfm/journal/v25/n1s/full/<br />
9591524.0379a.html.<br />
Hahn:2001:CMB<br />
[HLTP01] Horst K. Hahn, Markus G. Lentschig, Burckhard Terwey, <strong>and</strong><br />
Heinz-Otto Peitgen. Clinical MRI based volumetry: The cerebral<br />
ventricles. Lecture Notes in Computer Science, 2208(??):1291–??,<br />
???? 2001. CODEN LNCSD9. ISSN 0302-9743 (print), 1611-<br />
3349 (electronic). URL http://link.springer-ny.com/link/<br />
service/series/0558/bibs/2208/22081291.htm; http://<br />
link.springer-ny.com/link/service/series/0558/papers/<br />
2208/22081291.pdf.
REFERENCES 95<br />
Hamzaoui:1996:EFI<br />
[HMS96a] Raouf Hamzaoui, Martin Müller, <strong>and</strong> Dietmar Saupe. Enhancing<br />
fractal image compression with vector quantization. In IEEE Digital<br />
Signal Processing Workshop. IEEE Computer Society Press,<br />
1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA,<br />
September 1996. URL ftp://ftp.informatik.uni-freiburg.<br />
de/papers/fractal/HaMuSa96b.ps.gz. Preprint.<br />
Hamzaoui:1996:VEF<br />
[HMS96b] Raouf Hamzaoui, Martin Müller, <strong>and</strong> Dietmar Saupe. VQenhanced<br />
fractal image compression. In Proceedings ICIP-96<br />
(IEEE International Conference on Image Processing), volume I,<br />
pages 153–156. IEEE Computer Society Press, 1109 Spring<br />
Street, Suite 300, Silver Spring, MD 20910, USA, September<br />
1996. URL ftp://ftp.informatik.uni-freiburg.de/papers/<br />
fractal/HaMuSa96a.ps.gz.<br />
H<strong>of</strong>fman:2010:BMM<br />
[H<strong>of</strong>10] Jascha H<strong>of</strong>fman. Benoít M<strong>and</strong>elbrot, mathematician, dies at 85.<br />
New York Times, ??(??):??, October 16, 2010. CODEN NYTIAO.<br />
ISSN 0362-4331 (print), 1542-667X, 1553-8095. URL http://<br />
www.nytimes.com/2010/10/17/us/17m<strong>and</strong>elbrot.html.<br />
Hooper:1991:NSI<br />
[Hoo91] Kenneth J. Hooper. Note on some internal structures <strong>of</strong> the<br />
M<strong>and</strong>elbrot set. Computers <strong>and</strong> Graphics, 15(2):295–297, ????<br />
1991. CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684<br />
(electronic).<br />
Horgan:1990:MS<br />
[Hor90a] John Horgan. M<strong>and</strong>elbrot set-to. Scientific American, 262<br />
(4):30–34, April 1990. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic). URL http://www.nature.com/<br />
scientificamerican/journal/v262/n4/pdf/scientificamerican0490-<br />
30b.pdf.<br />
Horn:1990:III<br />
[Hor90b] Alastair N. Horn. IFSs <strong>and</strong> interactive image synthesis. Computer<br />
Graphics Forum, 9(2):127–137, June 1990. CODEN CGFODY.<br />
ISSN 0167-7055 (print), 1467-8659 (electronic).
REFERENCES 96<br />
Hough:1995:EAM<br />
[Hou95] S. E. Hough. Earthquakes in the Los Angeles metropolitan region:<br />
A possible fractal distribution <strong>of</strong> rupture size. Science, 267(5195):<br />
211–213, January 13, 1995. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/267/5195/211.full.pdf.<br />
Howl<strong>and</strong>:1978:RBF<br />
[How78] Howard C. Howl<strong>and</strong>. Review: Fractals: Form, Change, <strong>and</strong> Dimension,<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. Quarterly review <strong>of</strong> biology,<br />
53(2):216, June 1978. CODEN QRBIAK. ISSN 0033-5770<br />
(print), 1539-7718 (electronic). URL http://www.jstor.org/<br />
stable/2826364.<br />
Haskell:2002:FGP<br />
[HRO02] John P. Haskell, Mark E. Ritchie, <strong>and</strong> Han Olff. Fractal geometry<br />
predicts varying body size scaling relationships for mammal<br />
<strong>and</strong> bird home ranges. Nature, 418(6897):527–530, August 1,<br />
2002. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v418/n6897/full/nature00840.html.<br />
Hurtgen:1993:FHC<br />
[HS93] Bernd Hürtgen <strong>and</strong> Christoph Stiller. Fast hierarchical codebook<br />
search for fractal coding <strong>of</strong> still images. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 1977(??):<br />
397–408, April 1993. CODEN ???? ISBN 0-8194-1223-6. ISSN<br />
????<br />
Hart:1989:RTD<br />
[HSK89] John C. Hart, Daniel J. S<strong>and</strong>in, <strong>and</strong> Louis H. Kauffman. Ray<br />
tracing deterministic 3-D fractals. Computer Graphics, 23(3):<br />
289–296, July 1989. CODEN CGRADI, CPGPBZ. ISSN<br />
0097-8930. URL http://www.acm.org:80/pubs/citations/<br />
proceedings/graph/74333/p289-hart/.<br />
Herman:2005:FPL<br />
[HTHE05] Peter Herman, Hubert Trübel, Fahmeed Hyder, <strong>and</strong> Andras Eke.<br />
Fractal patterns <strong>of</strong> local <strong>and</strong> global CBF in rat brain during hypotension.<br />
Journal <strong>of</strong> Cerebral Blood Flow <strong>and</strong> Metabolism, 25<br />
(1s):S195, July 15, 2005. CODEN JCBMDN. ISSN 0271-678X<br />
(print), 1559-7016 (electronic). URL http://www.nature.com/<br />
jcbfm/journal/v25/n1s/full/9591524.0195a.html.
REFERENCES 97<br />
Hughes:1998:GJR<br />
[Hug98] Merlin Hughes. 3D graphic Java: Render fractal l<strong>and</strong>scapes.<br />
JavaWorld: IDG’s magazine for the Java community, 3(8):??,<br />
August 1998. CODEN ???? ISSN 1091-8906. URL http://www.<br />
javaworld.com/javaworld/jw-08-1998/jw-08-step.htm.<br />
Hurtgen:1993:CFT<br />
[Hür93] Bernd Hürtgen. Contractivity <strong>of</strong> fractal transforms for image<br />
coding. Electronics Letters, 29(20):1749–1750, September 1993.<br />
CODEN ELLEAK. ISSN 0013-5194.<br />
Hurtgen:1995:SEF<br />
[Hür95] Bernd Hürtgen. Statistical evaluation <strong>of</strong> fractal coding schemes.<br />
In Proceedings ICIP-95 (IEEE International Conference on Image<br />
Processing), volume III, pages 280–283. IEEE Computer Society<br />
Press, 1109 Spring Street, Suite 300, Silver Spring, MD 20910,<br />
USA, October 1995. LCCN TK8315.I222 1995.<br />
Herman:2005:FPN<br />
[HWEH05] Peter Herman, Shaun A. Wahab, Andras Eke, <strong>and</strong> Fahmeed<br />
Hyder. Fractal properties <strong>of</strong> neurophysiologic signals<br />
in rat somatosensory cortex. Journal <strong>of</strong> Cerebral Blood<br />
Flow <strong>and</strong> Metabolism, 25(1s):S186, July 15, 2005. CODEN<br />
JCBMDN. ISSN 0271-678X (print), 1559-7016 (electronic).<br />
URL http://www.nature.com/jcbfm/journal/v25/n1s/full/<br />
9591524.0186a.html.<br />
Hurd:1987:FAM<br />
[HWM87] Alan J. Hurd, David A. Weitz, <strong>and</strong> Benoît B. M<strong>and</strong>elbrot, editors.<br />
Fractal aspects <strong>of</strong> materials: disordered systems, volume EA–13 <strong>of</strong><br />
Materials Research Society extended abstracts. Materials Research<br />
Society, Pittsburgh, PA, USA, 1987. LCCN QA447 .F72 1987.<br />
IEEE:1995:IPI<br />
[IEE95] IEEE, editor. ICIP’95: Proceedings, International Conference on<br />
Image Processing: October 23–26, 1995, Washington, DC, USA.<br />
IEEE Computer Society Press, 1109 Spring Street, Suite 300,<br />
Silver Spring, MD 20910, USA, 1995. ISBN 0-7803-3122-2 (casebound),<br />
0-8186-7310-9 (s<strong>of</strong>tbound), 0-7803-3123-0 (micr<strong>of</strong>iche),<br />
0-7803-2749-7 (CD-ROM). LCCN TK8315.I222 1995. Three volumes.<br />
IEEE catalog number 95CB35819.
REFERENCES 98<br />
IEEE:2003:PAI<br />
[IEE03] IEEE, editor. Proceedings: 44th Annual IEEE Symposium<br />
on Foundations <strong>of</strong> Computer Science, FOCS 2003, 11–14 October<br />
2003, Cambridge, Massachusetts. IEEE Computer Society<br />
Press, 1109 Spring Street, Suite 300, Silver Spring, MD<br />
20910, USA, 2003. CODEN ASFPDV. ISBN 0-7695-2040-<br />
5. ISSN 0272-5428. LCCN QA76 .S979 2003. URL http:<br />
//ieeexplore.ieee.org/iel5/8767/27770/01238173.pdf;<br />
http://ieeexplore.ieee.org/xpl/RecentCon.jsp?punumber=<br />
8767&conhome=1000292. IEEE Computer Society Order Number<br />
PR02040.<br />
Isaeva:2001:MSC<br />
[IKP01] Olga B. Isaeva, Sergey P. Kuznetsov, <strong>and</strong> Vladimir I. Ponomarenko.<br />
M<strong>and</strong>elbrot set in coupled logistic maps <strong>and</strong> in an electronic<br />
experiment. Physical Review E (Statistical physics, plasmas,<br />
fluids, <strong>and</strong> related interdisciplinary topics), 64:055201–??,<br />
2001. CODEN PLEEE8. ISSN 1539-3755 (print), 1550-2376<br />
(electronic).<br />
e055201.<br />
URL http://link.aps.org/abstract/PRE/v64/<br />
Imre:2006:AFD<br />
[Imr06] Attila R. Imre. Artificial fractal dimension obtained <strong>by</strong> using<br />
perimeter–area relationship on digitalized images. Applied Mathematics<br />
<strong>and</strong> Computation, 173(1):443–449, February 1, 2006. CO-<br />
DEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300305003644.<br />
Iosifescu:1979:RBF<br />
[Ios79] Marius Iosifescu. Review: Fractals: Form, Chance <strong>and</strong> Dimension,<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. International Statistical Review<br />
/ Revue Internationale de Statistique, 47(3):299, December 1979.<br />
CODEN STRDPY. ISSN 0306-7734 (print), 1751-5823 (electronic).<br />
URL http://www.jstor.org/stable/1402650.<br />
Izsak:2006:MLE<br />
[Izs06] F. Izsák. Maximum likelihood estimation for constrained parameters<br />
<strong>of</strong> multinomial distributions — application to Zipf–<br />
M<strong>and</strong>elbrot models. Computational Statistics & Data Analysis,<br />
51(3):1575–1583, ???? 2006. CODEN CSDADW. ISSN 0167-<br />
9473.
REFERENCES 99<br />
Jaffard:1997:MFFa<br />
[Jaf97a] S. Jaffard. Multifractal formalism for functions. part I: Results<br />
valid for all functions. SIAM Journal on Mathematical Analysis,<br />
28(4):944–970, July 1997. CODEN SJMAAH. ISSN 0036-1410<br />
(print), 1095-7154 (electronic). URL http://epubs.siam.org/<br />
sam-bin/dbq/article/28299.<br />
Jaffard:1997:MFFb<br />
[Jaf97b] S. Jaffard. Multifractal formalism for functions. part II: Selfsimilar<br />
functions. SIAM Journal on Mathematical Analysis, 28<br />
(4):971–998, July 1997. CODEN SJMAAH. ISSN 0036-1410<br />
(print), 1095-7154 (electronic). URL http://epubs.siam.org/<br />
sam-bin/dbq/article/28300.<br />
Jaffard:1998:OSP<br />
[Jaf98] Stéphane Jaffard. Oscillation spaces: Properties <strong>and</strong> applications<br />
to fractal <strong>and</strong> multifractal functions. Journal <strong>of</strong> Mathematical<br />
Physics, 39(8):4129–4141, August 1998. CODEN JMAPAQ.<br />
ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-2427.<br />
Jaffard:2011:BMM<br />
[Jaf11] Stéphane Jaffard. Benoît M<strong>and</strong>elbrot—in memoriam (1924–<br />
2010). Gaz. Math., 127(??):77–78, ???? 2011. CODEN ????<br />
ISSN 0224-8999.<br />
Jakeman:1984:AMS<br />
[Jak84] Eric Jakeman. Applied mathemetics: Scattering <strong>by</strong> fractal<br />
objects. Nature, 307(5947):110, January 12, 1984. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v307/<br />
n5947/pdf/307110a0.pdf.<br />
Jonckheere:1958:LE<br />
[JeJP58] A. Jonckheere <strong>and</strong> B. M<strong>and</strong>elbrot et J. Piaget. La lecture<br />
de l’expérience. (French) [Reading <strong>of</strong> experience], volume 5 <strong>of</strong><br />
Etudes d’épistémologie génétique; Bibliothèque scientifique internationale.<br />
Presses universitaires de France, Paris, France, 1958.<br />
150 pp. LCCN BF311.<br />
Jackson:1997:SYE<br />
[JH97] David J. Jackson <strong>and</strong> Chris W. Humphres. A simple yet<br />
effective load balancing extension to the PVM s<strong>of</strong>tware system.<br />
Parallel Computing, 22(12):1647–1660, February 21,
REFERENCES 100<br />
1997. CODEN PACOEJ. ISSN 0167-8191 (print), 1872-7336<br />
(electronic). URL http://www.elsevier.com/cgi-bin/cas/<br />
tree/store/parco/cas_sub/browse/browse.cgi?year=1997&<br />
volume=22&issue=12&aid=1112.<br />
Jackson:1996:PPF<br />
[JM96a] David Jeff Jackson <strong>and</strong> Wagdy Mahmoud. Parallel pipelined<br />
fractal image compression using quadtree recomposition. The<br />
Computer Journal, 39(1):1–13, ???? 1996. CODEN CMPJA6.<br />
ISSN 0010-4620 (print), 1460-2067 (electronic). URL http:<br />
//www.oup.co.uk/jnls/list/comjnl/hdb/Volume_39/Issue_<br />
01/390001.sgm.abs.html; http://www3.oup.co.uk/computer_<br />
journal/Volume_39/Issue_01/Vol39_01.body.html#AbstractJackson.<br />
Jaffard:1996:LRN<br />
[JM96b] Stéphane Jaffard <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Local regularity <strong>of</strong><br />
nonsmooth wavelet expansions <strong>and</strong> application to the Pólya function.<br />
Advances in Mathematics, 120(2):265–282, ???? 1996. CO-<br />
DEN ADMTA4. ISSN 0001-8708 (print), 1090-2082 (electronic).<br />
Jones:1990:DGB<br />
[Jon90a] Huw Jones. Dürer, gaskets <strong>and</strong> Barnsley’s chaos game. Computer<br />
Graphics Forum, 9(4):327–332, December 1990. CODEN<br />
CGFODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Jones:1990:TUR<br />
[Jon90b] John Dewey Jones. Three unconventional representations <strong>of</strong> the<br />
M<strong>and</strong>elbrot set. Computers <strong>and</strong> Graphics, 14(1):127–129, ????<br />
1990. CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684<br />
(electronic).<br />
Jones:1994:FM<br />
[Jon94] David Jones. Fractal money. Nature, 370(6490):510, August 18,<br />
1994. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v370/n6490/pdf/370510a0.pdf.<br />
Jorgensen:2012:ESF<br />
[Jor12] Palle E. T. Jorgensen. Ergodic scales in fractal measures. Mathematics<br />
<strong>of</strong> Computation, 81(278):941–955, April 2012. CO-<br />
DEN MCMPAF. ISSN 0025-5718 (print), 1088-6842 (electronic).<br />
URL http://www.ams.org/journals/mcom/2012-<br />
81-278/S0025-5718-2011-02517-2; http://www.ams.org/
REFERENCES 101<br />
journals/mcom/2012-81-278/S0025-5718-2011-02517-2/S0025-<br />
5718-2011-02517-2.pdf.<br />
Jurgens:1990:LF<br />
[JPS90] Hartmut Jürgens, Heinz-Otto Peitgen, <strong>and</strong> Dietmar Saupe. The<br />
language <strong>of</strong> fractals. Scientific American, 263(2):60–?? (Intl.<br />
ed. 40–??), August 1990. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic).<br />
Jones-Smith:2006:FAR<br />
[JSM06] Katherine Jones-Smith <strong>and</strong> Harsh Mathur. Fractal analysis:<br />
Revisiting Pollock’s drip paintings. Nature, 444(7119):E9–E10,<br />
November 29, 2006. CODEN NATUAS. ISSN 0028-0836 (print),<br />
1476-4687 (electronic). URL http://www.nature.com/nature/<br />
journal/v444/n7119/full/nature05398.html.<br />
Jackson:1996:PAD<br />
[JT96a] David Jeff Jackson <strong>and</strong> Greg Scott Tinney. Performance analysis<br />
<strong>of</strong> distributed implementations <strong>of</strong> a fractal image compression<br />
algorithm. Concurrency: Practice <strong>and</strong> Experience, 8(5):357–386,<br />
June 1996. CODEN CPEXEI. ISSN 1040-3108. URL http://<br />
www3.interscience.wiley.com/cgi-bin/abstract?ID=23284.<br />
Jan:1996:SIE<br />
[JT96b] Jinn-Ke Jan <strong>and</strong> Yuh-Min Tseng. On the security <strong>of</strong> image encryption<br />
method. Information Processing Letters, 60(5):261–265,<br />
December 8, 1996. CODEN IFPLAT. ISSN 0020-0190 (print),<br />
1872-6119 (electronic).<br />
Jones:1991:MSA<br />
[JTEA91] J. G. Jones, R. W. Thomas, P. G. Earwicker, <strong>and</strong> S. Addison.<br />
Multiresolution statistical analysis <strong>of</strong> computer-generated fractal<br />
imagery. Computer Vision, Graphics, <strong>and</strong> Image Processing.<br />
Graphical Models <strong>and</strong> Image Processing, 53(4):349–363, July<br />
1991. CODEN CGMPE5. ISSN 1049-9652.<br />
Julia:1918:MIF<br />
[Jul18] Gaston Julia. Mémoire sur l’iteration des fonctions rationnelles.<br />
(French) [Memoir on the iteration <strong>of</strong> rational functions]. Journal<br />
de Mathématiques Pures et Appliquées, 8(??):47–245, ????<br />
1918. CODEN JMPAAM. ISSN 0021-7824 (print), 1776-3371<br />
(electronic).
REFERENCES 102<br />
Kac:1978:RBF<br />
[Kac78] Mark Kac. Review: Fractals: Form, Chance, <strong>and</strong> Dimension,<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. American Scientist, 66(2):250, March<br />
1978. CODEN AMSCAC. ISSN 0003-0996 (print), 1545-2786<br />
(electronic). URL http://www.jstor.org/stable/27848608.<br />
Kahane:1974:MTB<br />
[Kah74] Jean-Pierre Kahane. Sur le modèle de turbulence de Benoît M<strong>and</strong>elbrot.<br />
C. R. Acad. Sci. Paris Sér. A, 278(??):621–623, ????<br />
1974. CODEN ???? ISSN ????<br />
Kajiya:1983:NTRa<br />
[Kaj83a] James T. Kajiya. New techniques for ray tracing procedurally<br />
defined objects. Computer Graphics, 17(3):91–102, July 1983.<br />
CODEN CGRADI, CPGPBZ. ISSN 0097-8930.<br />
Kajiya:1983:NTRb<br />
[Kaj83b] James T. Kajiya. New techniques for ray tracing procedurally<br />
defined objects. ACM Transactions on Graphics, 2(3):161–181,<br />
July 1983. CODEN ATGRDF. ISSN 0730-0301 (print), 1557-<br />
7368 (electronic). Also appeared in SIGGRAPH ’83 Proceedings,<br />
<strong>and</strong> in Tutorial: Computer Graphics: Image Synthesis, Computer<br />
Society Press, Washington, 1988, pp. 168–188.<br />
Kallam:2003:RBG<br />
[Kal03] Linda Kallam. Review: Fractals, Graphics, <strong>and</strong> Mathematics Education<br />
<strong>by</strong> Michael L. Frame, Benoît B. M<strong>and</strong>elbrot. The Mathematics<br />
Teacher, 96(5):379, ???? 2003. CODEN ???? ISSN<br />
0025-5769. URL http://www.jstor.org/stable/20871345.<br />
Katz:1986:MPM<br />
[Kat86] Howard Katz. A M<strong>and</strong>elbrot program for the Macintosh. Dr.<br />
Dobb’s Journal <strong>of</strong> S<strong>of</strong>tware Tools, 11(11):42–45, November 1986.<br />
CODEN DDJOEB. ISSN 0888-3076.<br />
Kaufmann:1992:MWE<br />
[Kau92] Stephan Kaufmann. Mathematica als Werkzeug: Eine Einführung<br />
mit Anwendungsbeispielen. (German) [Mathematica as a tool: an<br />
introduction with application examples]. Birkhäuser Verlag, Basel,<br />
Switzerl<strong>and</strong>, 1992. ISBN 3-7643-2832-0. 396 pp. LCCN ???? See<br />
[Bau96].
REFERENCES 103<br />
Keller:1989:TDS<br />
[KCC89] James M. Keller, Susan Chen, <strong>and</strong> Richard M. Crownover.<br />
Texture description <strong>and</strong> segmentation through fractal geometry.<br />
Computer Vision, Graphics, <strong>and</strong> Image Processing, 45(2):150–<br />
166, February 1989. CODEN CVGPDB. ISSN 0734-189X.<br />
Kelley:2000:LTF<br />
[Kel00] Alice Kelley. Layering techniques in fractal art. Computers<br />
<strong>and</strong> Graphics, 24(4):611–616, August 2000. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.nl/gej-ng/10/13/20/47/27/37/<br />
abstract.html; http://www.elsevier.nl/gej-ng/10/13/<br />
20/47/32/37/article.pdf.<br />
Kirchner:2000:FSC<br />
[KFN00] James W. Kirchner, Xiahong Feng, <strong>and</strong> Colin Neal. Fractal<br />
stream chemistry <strong>and</strong> its implications for contaminant transport<br />
in catchments. Nature, 403(6769):524–527, February 3, 2000.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v403/<br />
n6769/full/403524a0.html.<br />
Koh:1992:FGS<br />
[KH92] Eng-Kiat Koh <strong>and</strong> D. D. Hearn. Fast generation <strong>and</strong> surface<br />
structuring methods for terrain <strong>and</strong> other natural phenomena.<br />
Computer Graphics Forum, 11(3):C169–C180, C472–C473, ????<br />
1992. CODEN CGFODY. ISSN 0167-7055 (print), 1467-8659<br />
(electronic).<br />
Kilmister:1978:RBF<br />
[Kil78] C. W. Kilmister. Review: Fractals: Form, Chance <strong>and</strong> Dimension,<br />
<strong>by</strong> Benoît B. M<strong>and</strong>elbrot. Mathematical Gazette, 62(420):<br />
130–132, June 1978. CODEN MAGAAS. ISSN 0025-5572. URL<br />
http://www.jstor.org/stable/3617679.<br />
Kirk<strong>by</strong>:1979:BRB<br />
[Kir79] M. J. Kirk<strong>by</strong>. Book review: Fractals: Form, chance, <strong>and</strong> dimension,<br />
Benoît B. M<strong>and</strong>elbrot, W. H. Freeman <strong>and</strong> Co., 1977. No.<br />
<strong>of</strong> pages: 365. Price: U.S. $14.95. Earth Surface Processes, 4(1):<br />
98, January/March 1979. CODEN ???? ISSN ????
REFERENCES 104<br />
Kirk<strong>by</strong>:1983:BRB<br />
[Kir83] M. J. Kirk<strong>by</strong>. Book review: The fractal geometry <strong>of</strong> nature. Benoît<br />
B. M<strong>and</strong>elbrot. W. H. Freeman <strong>and</strong> Co., San Francisco, 1982. No.<br />
<strong>of</strong> pages: 460. Price: $22.75 (hardback). Earth Surface Processes<br />
<strong>and</strong> L<strong>and</strong>forms, 8(4):406, July/August 1983. CODEN ???? ISSN<br />
????<br />
Kirman:2011:BMV<br />
[Kir11] Alan Kirman. Benoît M<strong>and</strong>elbrot <strong>and</strong> the vindication <strong>of</strong> his ideas.<br />
Quantitative Finance, 11(2):159–160, ???? 2011. CODEN ????<br />
ISSN 1469-7688 (print), 1469-7696 (electronic).<br />
Knill:1990:LNO<br />
[KK90] David C. Knill <strong>and</strong> Daniel Kersten. Learning a near-optimal estimator<br />
for surface shape from shading. Computer Vision, Graphics,<br />
<strong>and</strong> Image Processing, 50(1):75–100, April 1990. CODEN<br />
CVGPDB. ISSN 0734-189X.<br />
Keevallik:1993:ICP<br />
[KK93] Sirje Keevallik <strong>and</strong> Olavi Karner, editors. IRS ’92: current problems<br />
in atmospheric radiation: proceedings <strong>of</strong> the International<br />
Radiation Symposium, Tallinn, Estonia, 3–8 August 1992. A.<br />
Deepak Pub., Hampton, VA, USA, 1993. ISBN 0-937194-28-X.<br />
LCCN QC912.3.I57 1992.<br />
Kim:1995:NFI<br />
[KKL95] Chang-Su Kim, Rin-Chul Kim, <strong>and</strong> Sang-Uk Lee. Novel fractal<br />
image compression method with non-iterative decoder. In<br />
IEEE [IEE95], pages 268–271. ISBN 0-7803-3122-2 (casebound),<br />
0-8186-7310-9 (s<strong>of</strong>tbound), 0-7803-3123-0 (micr<strong>of</strong>iche), 0-7803-<br />
2749-7 (CD-ROM). LCCN TK8315.I222 1995. Three volumes.<br />
IEEE catalog number 95CB35819.<br />
Kohler:2006:OSA<br />
[KLPS06] Eddie Kohler, Jinyang Li, Vern Paxson, <strong>and</strong> Scott Shenker. Observed<br />
structure <strong>of</strong> addresses in IP traffic. IEEE/ACM Transactions<br />
on Networking, 14(6):1207–1218, December 2006. CODEN<br />
IEANEP. ISSN 1063-6692 (print), 1558-2566 (electronic).<br />
Kahane:1965:EMA<br />
[KM65] Jean-Pierre Kahane <strong>and</strong> Benoît M<strong>and</strong>elbrot. Ensembles de multiplicité<br />
aléatoires. (French) [Sets <strong>of</strong> r<strong>and</strong>om multiplicity]. Comptes
REFERENCES 105<br />
rendus de l’Académie des sciences, Paris, 261(??):3931–3933,<br />
???? 1965. CODEN ???? ISSN ????<br />
Kittel:1989:LGM<br />
[KM89a] Charles Kittel <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Letters: Gibbs <strong>and</strong><br />
M<strong>and</strong>elbrot at Yale. Physics Today, 42(3):154, 156, March<br />
1989. CODEN PHTOAD. ISSN 0031-9228 (print), 1945-0699<br />
(electronic).<br />
i3/p154/s2.<br />
URL http://link.aip.org/link/phtoad/v42/<br />
Krantz:1989:FG<br />
[KM89b] Steven G. Krantz <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Fractal geometry.<br />
The Mathematical Intelligencer, 11(4):12–16, December<br />
1989. CODEN MAINDC. ISSN 0343-6993 (print), 1866-7414<br />
(electronic). URL http://www.springerlink.com/content/<br />
n751525375q64411/.<br />
Kiani:2011:MPD<br />
[KM11] Soheila Kiani <strong>and</strong> Mohsen Ebrahimi Moghaddam. A multipurpose<br />
digital image watermarking using fractal block coding.<br />
The Journal <strong>of</strong> Systems <strong>and</strong> S<strong>of</strong>tware, 84(9):1550–1562, September<br />
2011. CODEN JSSODM. ISSN 0164-1212 (print), 1873-1228<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0164121211000707.<br />
Karman:1999:LOF<br />
[KMNW99] G. P. Karman, G. S. McDonald, G. H. C. New, <strong>and</strong> J. P.<br />
Woerdman. Laser optics: Fractal modes in unstable resonators.<br />
Nature, 402(6758):138, November 11, 1999. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v402/<br />
n6758/full/402138a0.html.<br />
Kachanov:2012:CEA<br />
[KNBZ12] Andre Kachanov, Serge Nikulin, Sveta Bauer, <strong>and</strong> Boris Zimin.<br />
Corneal ectasia after excimer surgery <strong>and</strong> the M<strong>and</strong>elbrot B. fractal<br />
theory in ophthalmology. Acta Ophthalmologica, 90(s249):??,<br />
September 2012. CODEN ???? ISSN ????<br />
Kokol:1994:SSC<br />
[Kok94] P. Kokol. The self-similarity <strong>and</strong> computer programs. ACM<br />
SIGPLAN Notices, 29(1):9–12, January 1994. CODEN SIN-<br />
ODQ. ISSN 0362-1340 (print), 1523-2867 (print), 1558-1160 (electronic).
REFERENCES 106<br />
Kominek:1995:CRF<br />
[Kom95] John Kominek. Codebook reduction in fractal image compression.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for Optical<br />
Engineering, 2669(??):33–41, ???? 1995. CODEN ???? ISBN<br />
0-8194-2043-3. ISSN ????<br />
Kopelman:1988:FRK<br />
[Kop88] Raoul Kopelman. Fractal reaction kinetics. Science, 241(4873):<br />
1620–1626, September 23, 1988. CODEN SCIEAS. ISSN<br />
0036-8075 (print), 1095-9203 (electronic). URL http://www.<br />
sciencemag.org/content/241/4873/1620.full.pdf.<br />
Kahane:1976:CMB<br />
[KP76] J.-P. Kahane <strong>and</strong> J. Peyrière. Sur certaines martingales de Benoît<br />
M<strong>and</strong>elbrot. Advances in Math., 22(2):131–145, ???? 1976. CO-<br />
DEN ???? ISSN 0001-8708 (print), 1090-2082 (electronic).<br />
Kuroda:1996:FBM<br />
[KPY96] Hideo Kuroda, Dan C. Popescu, <strong>and</strong> Hong Yan. Fast block matching<br />
method for image data compression based on fractal models.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for Optical<br />
Engineering, 2501(??):1257–1266, ???? 1996. CODEN ????<br />
ISSN ????<br />
Klein:1991:TBU<br />
[KRP + 91] Michael Klein, Otto E. Rössler, Jürgen Parisi, Joachim Peinke,<br />
Gerold Baier, Claus Kahlert, <strong>and</strong> John L. Hudson. Toward a better<br />
underst<strong>and</strong>ing <strong>of</strong> fractality in nature. Computers <strong>and</strong> Graphics,<br />
15(4):583–596, ???? 1991. CODEN COGRD2. ISSN 0097-<br />
8493 (print), 1873-7684 (electronic).<br />
Kurths:1990:BRB<br />
[Kur90] J. Kurths. Book review: Benoît B. M<strong>and</strong>elbrot: Die fraktale<br />
Geometrie der Natur. Birkhäuser Verlag, Basel, 1987, 491 Seiten.<br />
Preis: Sfr 98,-. ISBN 3-7643-1771-X. Astronomische Nachrichten,<br />
311(1):88, ???? 1990. CODEN ASNAAN. ISSN 0004-6337<br />
(print), 1521-3994 (electronic). URL http://onlinelibrary.<br />
wiley.com/doi/10.1002/asna.2113110129/abstract.<br />
Kaufman:1995:PDL<br />
[KVMW95] Henry Kaufman, Aless<strong>and</strong>ro Vespignani, Benoît B. M<strong>and</strong>elbrot,<br />
<strong>and</strong> Lionel Woog. Parallel diffusion-limited aggregation. Physical
REFERENCES 107<br />
Review E (Statistical physics, plasmas, fluids, <strong>and</strong> related interdisciplinary<br />
topics), 52:5602–??, 1995. CODEN PLEEE8. ISSN<br />
1539-3755 (print), 1550-2376 (electronic). URL http://link.<br />
aps.org/abstract/PRE/v52/e5602.<br />
Korkut:2008:GFI<br />
[KV ˇ Z ˇ Z08] Luka Korkut, Domagoj Vlah, Darko ˇ Zubrinić, <strong>and</strong> Vesna<br />
ˇZupanović. Generalized Fresnel integrals <strong>and</strong> fractal properties<br />
<strong>of</strong> related spirals. Applied Mathematics <strong>and</strong> Computation,<br />
206(1):236–244, December 1, 2008. CODEN AMHCBQ. ISSN<br />
0096-3003 (print), 1873-5649 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0096300308006723.<br />
LaBrecque:1986:FA<br />
[La 86] M. La Brecque. Fractal applications. Mosaic, 17(4):34–48, ????<br />
1986. CODEN ???? ISSN ????<br />
L<strong>and</strong>sberg:1989:RBS<br />
[Lan89] P. T. L<strong>and</strong>sberg. Review: The Science <strong>of</strong> Fractal Images. <strong>by</strong><br />
Heinz-Otto Peitgen, Dietmar Saupe, M. F. Barnsley, R. L. Devaney,<br />
B. B. M<strong>and</strong>elbrot, R. F. Voss, Y. Fisher, M. McGuire.<br />
Leonardo (Oxford, Engl<strong>and</strong>), 22(3/4):455–456, ???? 1989. CO-<br />
DEN LEONDP. ISSN 0024-094X (print), 1530-9282 (electronic).<br />
URL http://www.jstor.org/stable/1575447.<br />
L<strong>and</strong>ini:1997:PBF<br />
[Lan97] G. L<strong>and</strong>ini. Is periodontal breakdown a fractal process? Simulations<br />
using the Weierstrass–M<strong>and</strong>elbrot function. Journal <strong>of</strong><br />
Periodontal Research, 32(3):300–307, April 1997. CODEN ????<br />
ISSN ????<br />
Lapidus:2008:SRZ<br />
[Lap08] Michel L. (Michel Laurent) Lapidus. In search <strong>of</strong> the Riemann<br />
zeros: strings, fractal membranes <strong>and</strong> noncommutative spacetimes.<br />
American Mathematical Society, Providence, RI, USA,<br />
2008. ISBN 0-8218-4222-6. xxix + 558 pp. LCCN QA333 .L37<br />
2008.<br />
Larison:1990:RBM<br />
[Lar90] Ted Larison. Review: M<strong>and</strong>elbrot Magic 3.1. The Mathematics<br />
Teacher, 83(2):157, ???? 1990. CODEN ???? ISSN 0025-5769.<br />
URL http://www.jstor.org/stable/27966565.
REFERENCES 108<br />
Lees:1959:RBL<br />
[Lee59] R. B. Lees. Review: Logique, langage et théorie de l’information<br />
<strong>by</strong> Léo Apostel, Benoît M<strong>and</strong>elbrot, Albert Morf. Language:<br />
journal <strong>of</strong> the Linguistic Society <strong>of</strong> America, 35(2):271–303, June<br />
1959. CODEN ???? ISSN 0097-8507. URL http://www.jstor.<br />
org/stable/410536.<br />
Lefort:1982:LOA<br />
[Lef82] B. Lefort. L’emploi des outils au cours de taches d’entretien et la<br />
loi de Zipf–M<strong>and</strong>elbrot. (French) [the use <strong>of</strong> tools in maintenance<br />
tasks <strong>and</strong> the Zipf–M<strong>and</strong>elbrot law]. Le Travail Humain, 45(2):<br />
307–316, ???? 1982. CODEN ???? ISSN ???? URL http://<br />
www.jstor.org/stable/40657805.<br />
Leversha:2005:RBC<br />
[Lev05] Gerry Leversha. Review: The Colours <strong>of</strong> Infinity <strong>by</strong> Ian Stewart,<br />
Arthur C. Clarke, Benoît M<strong>and</strong>elbrot, Michael Barnsley,<br />
Louisa Barnsley, Will Rood, Gary Flake, David Pennock, Robert<br />
Prechter, Nigel Lesmoir-Gordon. Mathematical Gazette, 89(514):<br />
170–171, March 2005. CODEN MAGAAS. ISSN 0025-5572. URL<br />
http://www.jstor.org/stable/3620696.<br />
Lewis:1987:GSS<br />
[Lew87] J. P. Lewis. Generalized stochastic subdivision. ACM Transactions<br />
on Graphics, 6(3):167–190, July 1987. CODEN ATGRDF.<br />
ISSN 0730-0301 (print), 1557-7368 (electronic). URL http://<br />
www.acm.org/pubs/toc/Abstracts/0730-0301/35069.html.<br />
Lewis:1989:ASN<br />
[Lew89] J. P. Lewis. Algorithms for solid noise synthesis. Computer<br />
Graphics, 23(3):263–270, July 1989. CODEN CGRADI,<br />
CPGPBZ. ISSN 0097-8930. URL http://www.acm.org:80/<br />
pubs/citations/proceedings/graph/74333/p263-lewis/.<br />
Leys:2005:SIF<br />
[Ley05] Jos Leys. Sphere inversion fractals. Computers <strong>and</strong> Graphics,<br />
29(3):463–466, June 2005. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic).<br />
Lesmoir-Gordon:2010:BMO<br />
[LG10a] Nigel Lesmoir-Gordon. Benoît M<strong>and</strong>elbrot obituary. The<br />
Guardian (London), ??(??):??, October 17, 2010. CODEN ????
REFERENCES 109<br />
ISSN ???? URL http://www.guardian.co.uk/science/2010/<br />
oct/17/benoit-m<strong>and</strong>elbrot-obituary.<br />
Lesmoir-Gordon:2010:CIB<br />
[LG10b] Nigel Lesmoir-Gordon, editor. The colours <strong>of</strong> infinity: the beauty<br />
<strong>and</strong> power <strong>of</strong> fractals. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 2010. ISBN 1-84996-485-<br />
8. 207 pp. LCCN QA614.86 .C65 2010. URL http://extras.<br />
springer.com. with contributions <strong>by</strong> Ian Stewart, Sir Arthur C.<br />
Clarke, Benoît B. M<strong>and</strong>elbrot, Michael <strong>and</strong> Louisa Barnsley, Will<br />
Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Lesmoir-Gordon:2010:FCI<br />
[LG10c] Nigel Lesmoir-Gordon. Filming the colours <strong>of</strong> infinity. In The<br />
colours <strong>of</strong> infinity: the beauty <strong>and</strong> power <strong>of</strong> fractals [LG10b],<br />
chapter 8, pages 136–143. ISBN 1-84996-485-8. LCCN QA614.86<br />
.C65 2010. URL http://www.springerlink.com/content/978-<br />
1-84996-485-2. with contributions <strong>by</strong> Ian Stewart, Sir Arthur<br />
C. Clarke, Benoît B. M<strong>and</strong>elbrot, Michael <strong>and</strong> Louisa Barnsley,<br />
Will Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Linde:1994:SRI<br />
[Lin94] Andrei Linde. The self-reproducing inflationary universe. Scientific<br />
American, 271(5):48–?? (Intl. ed. 32–39), November 1994.<br />
CODEN SCAMAC. ISSN 0036-8733 (print), 1946-7087 (electronic).<br />
Liu:1993:EFT<br />
[Liu93] Ying Liu. Extensions <strong>of</strong> fractal theory. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 1966(??):<br />
255–268, ???? 1993. CODEN ???? ISSN ????<br />
Liu:1995:IBC<br />
[Liu95a] Ying Liu. Image block coding using exact solutions <strong>of</strong> fractal<br />
equations. Proceedings <strong>of</strong> the SPIE — The International Society<br />
for Optical Engineering, 2488(??):135–149, ???? 1995. CODEN<br />
???? ISSN ????<br />
Liu:1995:SFE<br />
[Liu95b] Ying Liu. Solution <strong>of</strong> fractal equation. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 2418(??):<br />
48–59, ???? 1995. CODEN ???? ISSN ????
REFERENCES 110<br />
Liu:2006:BRS<br />
[Liu06] Nelson Liu. Book reviews: a summary <strong>of</strong> multifractal traffic<br />
modeling. IEEE Distributed Systems Online, 7(3):??, March<br />
2006. CODEN ???? ISSN 1541-4922 (print), 1558-1683<br />
(electronic). URL http://csdl.computer.org/comp/mags/ds/<br />
2006/03/o3008.pdf.<br />
Laxer:1998:ICF<br />
[LK98] Cary Laxer <strong>and</strong> Aaron Kleban<strong>of</strong>f. An interactive course on fractals<br />
<strong>and</strong> chaos. In Grisson et al. [GMA + 98], pages 44–45. ISBN 1-<br />
58113-046-5, 1-58113-048-1 (CD-ROM). LCCN T385 .S54 1998b.<br />
URL http://www.acm.org:80/pubs/citations/proceedings/<br />
graph/280953/p44-laxer/. ACM order number for CD-ROM:<br />
435984. ACM order number: 435983.<br />
Lee:1997:SSA<br />
[LKH97] Choong Ho Lee, M. Kawamata, <strong>and</strong> T. Higuchi. State-space<br />
approach to round<strong>of</strong>f error analysis <strong>of</strong> fractal image coding. In<br />
Proceedings <strong>of</strong> 1997 IEEE International Symposium on Circuits<br />
<strong>and</strong> Systems: ISCAS ’97, 9–12 June 1997, volume 2, pages 1341–<br />
1344. IEEE Computer Society Press, 1109 Spring Street, Suite<br />
300, Silver Spring, MD 20910, USA, 1997. CODEN ???? ISSN<br />
????<br />
Lee:1997:HRF<br />
[LL97] Shyi-Long Lee <strong>and</strong> Chung-Kung Lee. Heterogeneous reactions<br />
over fractal surfaces: a multifractal scaling analysis. International<br />
Journal <strong>of</strong> Quantum Chemistry, 64(3):337–350, ???? 1997.<br />
CODEN IJQCB2. ISSN 0020-7608 (print), 1097-461X (electronic).<br />
URL http://www3.interscience.wiley.com/cgibin/abstract?ID=42691;<br />
http://www3.interscience.wiley.<br />
com/cgi-bin/fulltext?ID=42691&PLACEBO=IE.pdf. Special Issue:<br />
Second Triennial Congress <strong>of</strong> the International Society for<br />
Theoretical Chemical Physics. Issue Edited <strong>by</strong> Seán P. McGlynn,<br />
Kresimir Rupnik, Janos Ladik.<br />
Loew:1996:APM<br />
[LLP96] Murray H. Loew, Dunling Li, <strong>and</strong> Raymond L. Pickholtz. Adaptive<br />
PIFS model in fractal image compression. Proceedings <strong>of</strong> the<br />
SPIE — The International Society for Optical Engineering, 2707<br />
(??):284–293, ???? 1996. CODEN ???? ISSN ????
REFERENCES 111<br />
Lovejoy:1985:FPR<br />
[LM85] S. Lovejoy <strong>and</strong> B. B. M<strong>and</strong>elbrot. Fractal properties <strong>of</strong> rain, <strong>and</strong><br />
a fractal model. Tellus, 37A(??):209–232, ???? 1985. CODEN<br />
???? ISSN ????<br />
Laibowitz:1985:FAM<br />
[LMP85] Robert B. Laibowitz, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Dann E. Passoja,<br />
editors. Fractal aspects <strong>of</strong> materials: extended abstracts,<br />
volume EA–6 <strong>of</strong> Materials Research Society extended abstracts.<br />
Materials Research Society, Pittsburgh, PA, USA, 1985. LCCN<br />
QA447 .F72 1985.<br />
Lulek:1996:GIF<br />
[LO96] T. Lulek <strong>and</strong> R. Olchawa. Geometric interpretation <strong>of</strong> fractal<br />
symmetries <strong>of</strong> a finite linear chain. Journal <strong>of</strong> Mathematical<br />
Physics, 37(5):2472–2483, May 1996. CODEN JMAPAQ. ISSN<br />
0022-2488 (print), 1089-7658 (electronic), 1527-2427.<br />
Loyless:1991:ARA<br />
[Loy91] James E. Loyless. Autumn — A recipe for artistic fractal images.<br />
Computers <strong>and</strong> Graphics, 15(1):87–88, ???? 1991. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Liao:2008:FBR<br />
[LPZ08] Iman Yi Liao, Maria Petrou, <strong>and</strong> Rongchun Zhao. A fractal-based<br />
relaxation algorithm for shape from terrain image. Computer<br />
Vision <strong>and</strong> Image Underst<strong>and</strong>ing: CVIU, 109(3):227–243, March<br />
2008. CODEN CVIUF4. ISSN 1077-3142 (print), 1090-235X<br />
(electronic).<br />
Lewis:1985:FSP<br />
[LR85] M. Lewis <strong>and</strong> D. C. Rees. Fractal surfaces <strong>of</strong> proteins. Science,<br />
230(4730):1163–1165, December 6, 1985. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.sciencemag.org/content/230/4730/1163.full.pdf.<br />
Liu:2000:LTM<br />
[LR00] Quansheng Liu <strong>and</strong> Alain Rouault. Limit theorems for M<strong>and</strong>elbrot’s<br />
multiplicative cascades. Annals <strong>of</strong> applied probability, 10<br />
(1):218–239, February 2000. CODEN ???? ISSN 1050-5164. URL<br />
http://www.jstor.org/stable/2667193.
REFERENCES 112<br />
Luo:1992:FCL<br />
[LS92] Xiaochun Luo <strong>and</strong> David N. Schramm. Fractals <strong>and</strong> cosmological<br />
large-scale structure. Science, 256(5056):513–515, April<br />
24, 1992. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/256/<br />
5056/513.full.pdf.<br />
Lovejoy:1986:FCI<br />
[LSL86] S. Lovejoy, D. Schertzer, <strong>and</strong> P. Ladoy. Fractal characterization<br />
<strong>of</strong> inhomogeneous geophysical measuring networks. Nature, 319<br />
(6048):43–44, January 2, 1986. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v319/n6048/pdf/319043a0.pdf.<br />
Lin:1996:PLF<br />
[LV96] Huawu Lin <strong>and</strong> Anastasios N. Venetsanopoulos. Perceptually<br />
lossless fractal image compression. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 2727(??):<br />
1394–1399, ???? 1996. CODEN ???? ISSN ????<br />
LaTorre:2009:MVI<br />
[LVEB09] D. La Torre, E. R. Vrscay, M. Ebrahimi, <strong>and</strong> M. F. Barnsley.<br />
Measure-valued images, associated fractal transforms, <strong>and</strong> the<br />
affine self-similarity <strong>of</strong> images. SIAM Journal on Imaging Sciences,<br />
2(2):470–507, ???? 2009. CODEN SJISBI. ISSN 1936-<br />
4954.<br />
Lapidus:2004:FGAa<br />
[LvF04a] Michel L. Lapidus <strong>and</strong> Machiel van Frankenhuijsen, editors. Fractal<br />
geometry <strong>and</strong> applications: a jubilee <strong>of</strong> Benoît M<strong>and</strong>elbrot.<br />
Part 1. Proceedings <strong>of</strong> a Special Session <strong>of</strong> the Annual Meeting <strong>of</strong><br />
the American Mathematical Society held in San Diego, CA, January<br />
2002, volume 72 <strong>of</strong> Proceedings <strong>of</strong> Symposia in Pure Mathematics.<br />
American Mathematical Society, Providence, RI, USA,<br />
2004. ISBN 0-8218-3637-4 (part 1), 0-8218-3292-1 (set). LCCN<br />
QA325 .F73 2004. Analysis, number theory, <strong>and</strong> dynamical systems.<br />
Lapidus:2004:FGAb<br />
[LvF04b] Michel L. Lapidus <strong>and</strong> Machiel van Frankenhuijsen, editors. Fractal<br />
geometry <strong>and</strong> applications: a jubilee <strong>of</strong> Benoît M<strong>and</strong>elbrot.<br />
Part 2. Proceedings <strong>of</strong> a Special Session <strong>of</strong> the Annual Meeting <strong>of</strong>
REFERENCES 113<br />
the American Mathematical Society held in San Diego, CA, January<br />
2002, volume 72 <strong>of</strong> Proceedings <strong>of</strong> Symposia in Pure Mathematics.<br />
American Mathematical Society, Providence, RI, USA,<br />
2004. ISBN 0-8218-3638-2 (part 2), 0-8218-3292-1 (set). LCCN<br />
QA325 .F73 2004. Multifractals, probability <strong>and</strong> statistical mechanics,<br />
applications.<br />
M<strong>and</strong>elbrot:1985:SIC<br />
[M + 85] Benoît B. M<strong>and</strong>elbrot et al. Schönheit im Chaos: Bilder aus<br />
der theorie komplexer Systeme = Frontiers <strong>of</strong> Chaos: computer<br />
graphics face complex dynamics. MAP ART, Forschungsgruppe<br />
Komplexe Dynamik, Universität Bremen, Bremen, West Germany,<br />
1985.<br />
.S342 1985.<br />
ISBN 3-920699-65-3. 108 pp. LCCN QA614.86<br />
M<strong>and</strong>elbrot:1979:FFC<br />
[MA79] B. B. M<strong>and</strong>elbrot <strong>and</strong> Michael Aizenman. Fractals: Form,<br />
chance, <strong>and</strong> dimension. Physics Today, 32(5):65–??, May<br />
1979. CODEN PHTOAD. ISSN 0031-9228 (print), 1945-0699<br />
(electronic). URL http://link.aip.org/link/phtoad/v32/<br />
i5/p65/s1.<br />
Maccari:2008:CFC<br />
[Mac08] Attilio Maccari. Chaotic, fractal, <strong>and</strong> coherent solutions for a<br />
new integrable system <strong>of</strong> equations in 2 + 1 dimensions. Journal<br />
<strong>of</strong> Mathematical Physics, 49(2):022702, February 2008. CODEN<br />
JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-<br />
2427. URL http://jmp.aip.org/resource/1/jmapaq/v49/i2/<br />
p022702_s1.<br />
Maddox:1986:GWF<br />
[Mad86] John Maddox. Gentle warning on fractal fashions. Nature, 322<br />
(6077):303, July 24, 1986. CODEN NATUAS. ISSN 0028-0836<br />
(print), 1476-4687 (electronic). URL http://www.nature.com/<br />
nature/journal/v322/n6077/pdf/322303a0.pdf.<br />
Maddox:1987:UFS<br />
[Mad87] John Maddox. The Universe as a fractal structure. Nature, 329<br />
(6136):195, September 17, 1987. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v329/n6136/pdf/329195a0.pdf.
REFERENCES 114<br />
Magid:2004:RMB<br />
[Mag04] Aaron Magid. Review: The mystery behind the M<strong>and</strong>elbrot set.<br />
Math Horizons, 12(2):27, November 2004. CODEN ???? ISSN<br />
???? URL http://www.jstor.org/stable/25678516.<br />
Mainster:1990:FPR<br />
[Mai90] Martin A. Mainster. The fractal properties <strong>of</strong> retinal vessels: Embryological<br />
<strong>and</strong> clinical implications. Eye, 4(1):235–241, January<br />
1990. CODEN ???? ISSN ???? URL http://www.nature.com/<br />
eye/journal/v4/n1/pdf/eye199033a.pdf.<br />
Majewski:1998:TRV<br />
[Maj98] Mirek Majewski. A tutorial on the realistic visualization <strong>of</strong><br />
3D Sierpiński fractals. Computers <strong>and</strong> Graphics, 22(1):129–142,<br />
February 25, 1998. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.elsevier.com/cas/<br />
tree/store/cag/sub/1998/22/1/519.pdf.<br />
M<strong>and</strong>elbrot:1949:SPP<br />
[Man49] Benoît M<strong>and</strong>elbrot. Some potential problems arising in the theory<br />
<strong>of</strong> axial turbomachines. Masters <strong>of</strong> Science in Aeronautics,<br />
California Institute <strong>of</strong> Technology, Pasadena, CA, USA, 1949. 42<br />
pp.<br />
M<strong>and</strong>elbrot:1951:ADMa<br />
[Man51a] Benoît M<strong>and</strong>elbrot. Adaptation du message à la ligne de transmission.<br />
I. Quanta d’information. (French) [Adaptation <strong>of</strong> the<br />
message to the transmission line. I. Quanta <strong>of</strong> information].<br />
Comptes rendus de l’Académie des sciences, Paris, 232(??):1638–<br />
1640, ???? 1951. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1951:ADMb<br />
[Man51b] Benoît M<strong>and</strong>elbrot. Adaptation du message à la ligne de transmission.<br />
II. Interprétations physiques. (French) [Adaptation <strong>of</strong><br />
the message to the transmission line. II. Physical interpretation].<br />
Comptes rendus de l’Académie des sciences, Paris, 232(??):2003–<br />
2005, ???? 1951. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1952:CTM<br />
[Man52a] Benoît M<strong>and</strong>elbrot. Contribution à la théorie mathématique<br />
des communications. (French) [Contribution to the mathematical<br />
theory <strong>of</strong> communications]. Docteur d’ État ès Sciences
REFERENCES 115<br />
Mathématiques, Faculté des Sciences de l’Université de Paris,<br />
Paris, France, 1952. URL http://genealogy.math.ndsu.<br />
nodak.edu/id.php?id=60791.<br />
M<strong>and</strong>elbrot:1952:DMF<br />
[Man52b] Benoît M<strong>and</strong>elbrot. Les démons de Maxwell. (French) [Maxwell’s<br />
demons]. Comptes rendus de l’Académie des sciences, Paris, 234<br />
(??):1842–1844, ???? 1952. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1952:NGI<br />
[Man52c] Benoît M<strong>and</strong>elbrot. Sur la notion générale d’information et la<br />
durée intrinsèque d’une stratégie. (French) [On the general notion<br />
<strong>of</strong> information <strong>and</strong> the intrinsic duration <strong>of</strong> a strategy].<br />
Comptes rendus de l’Académie des sciences, Paris, 234(??):1345–<br />
1347, ???? 1952. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1953:CTM<br />
[Man53a] Benoît M<strong>and</strong>elbrot. Contribution àlathéorie mathématique des<br />
jeux de communication. (French) [Contribution to the mathematical<br />
theory <strong>of</strong> communication games]. <strong>Publications</strong> de l’Institut<br />
de statistique de l’Université de Paris, 2(1–2):124, ???? 1953.<br />
CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1953:ITS<br />
[Man53b] Benoît B. M<strong>and</strong>elbrot. An informational theory <strong>of</strong> the statistical<br />
structure <strong>of</strong> languages. In Willis Jackson, editor, Communication<br />
theory: papers read at a Symposium on “Applications<br />
<strong>of</strong> Communication Theory” held at the Institution <strong>of</strong><br />
Electrical Engineers, London, September 22nd–26th 1952, pages<br />
486–502. Butterworths, London, UK, 1953. LCCN Q350 .S92<br />
1952. URL http://lccn.loc.gov/53004215; http://www.<br />
nytimes.com/2010/10/17/us/17m<strong>and</strong>elbrot.html.<br />
M<strong>and</strong>elbrot:1954:CSF<br />
[Man54a] Benoît M<strong>and</strong>elbrot. Corrections: Structure formelle des textes<br />
et communications [deux études]. (French) [Corrections: Formal<br />
structure <strong>of</strong> text <strong>and</strong> communications [two studies]]. Word, 11<br />
(??):424–??, ???? 1954. CODEN ???? ISSN ???? See [Man54c].<br />
M<strong>and</strong>elbrot:1954:SGS<br />
[Man54b] Benoît M<strong>and</strong>elbrot. Simple games <strong>of</strong> strategy occurring in communication<br />
through natural languages. Transaction <strong>of</strong> the IRE,
REFERENCES 116<br />
Pr<strong>of</strong>essional group on information theory PGIT, 3(??):124–127,<br />
???? 1954. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1954:SFT<br />
[Man54c] Benoît M<strong>and</strong>elbrot. Structure formelle des textes et communications<br />
[deux études]. (French) [Formal structure <strong>of</strong> text <strong>and</strong> communications<br />
[two studies]]. Word, 10(??):1–27, ???? 1954. CO-<br />
DEN ???? ISSN ???? See corrections [Man54a].<br />
M<strong>and</strong>elbrot:1955:RNL<br />
[Man55a] Benoît M<strong>and</strong>elbrot. On recurrent noise limiting coding. In Proceedings<br />
<strong>of</strong> the symposium on information networks. New York,<br />
April, 1954, pages 205–221. Polytechnic Institute <strong>of</strong> Brooklyn,<br />
Brooklyn, NY, USA, 1955.<br />
M<strong>and</strong>elbrot:1955:TPC<br />
[Man55b] Benoît M<strong>and</strong>elbrot. Théorie de la pré-correction des erreurs<br />
de transmission (théorème de A. Feinstein). (French) [Theory<br />
<strong>of</strong> the precorrection <strong>of</strong> transmission errors (theorem <strong>of</strong> A. Feinstein)].<br />
Annales des Télécommunications, 10(??):122–134, ????<br />
1955. CODEN ANTEAU. ISSN 0003-4347 (print), 1958-9395<br />
(electronic). URL http://www.springerlink.com/content/<br />
x45p11282n5j9327/fulltext.pdf.<br />
M<strong>and</strong>elbrot:1956:EET<br />
[Man56a] Benoît M<strong>and</strong>elbrot. Exhaustivité del’énergie totale d’un système<br />
en équilibre, pour l’estimation de sa temperature. (French) [exhaustivity<br />
<strong>of</strong> the total energy <strong>of</strong> a system in equilibrium for the<br />
estimation <strong>of</strong> its temperature]. Comptes rendus de l’Académie<br />
des sciences, Paris, 243(??):1835–1838, ???? 1956. CODEN ????<br />
ISSN ????<br />
M<strong>and</strong>elbrot:1956:DWY<br />
[Man56b] Benoît M<strong>and</strong>elbrot. La distribution de Willis–Yule, relative aux<br />
nombres d’espèces dans les genres biologiques. (French) [The<br />
Willis–Yule distribution, relative to the number <strong>of</strong> species <strong>of</strong> biological<br />
types]. Comptes rendus de l’Académie des sciences, Paris,<br />
242(??):2223–2226, ???? 1956. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1956:LTO<br />
[Man56c] Benoît M<strong>and</strong>elbrot. On the language <strong>of</strong> taxonomy: an outline <strong>of</strong><br />
a thermo-statistical theory <strong>of</strong> systems <strong>of</strong> categories, with Willis<br />
(natural) structure. In C. Cherry, editor, Information Theory:
REFERENCES 117<br />
the Third London Symposium, pages 135–145. Academic Press,<br />
New York, NY, USA, 1956. LCCN ????<br />
M<strong>and</strong>elbrot:1956:PPT<br />
[Man56d] Benoît M<strong>and</strong>elbrot. A purely phenomenological theory <strong>of</strong> statistical<br />
thermodynamics: canonical ensembles. IRE Transactions<br />
on Information Theory, 112(??):190–203, ????<br />
IRITAY. ISSN 0096-1000.<br />
1956. CODEN<br />
M<strong>and</strong>elbrot:1957:ISV<br />
[Man57a] Benoît M<strong>and</strong>elbrot. Der Ingenieur als Stratege: Verhaltenstheorien.<br />
(Eine Definition der Kybernetik und ihre Anwendung in der<br />
Linguistik). (German) [The engineer as a strategist: behavioral<br />
theories. (A definition <strong>of</strong> cybernetics <strong>and</strong> its application in linguistics)].<br />
Nachrichtentechnische Fachberichte, 3(??):32–39, ????<br />
1957. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1957:NLB<br />
[Man57b] Benoît M<strong>and</strong>elbrot. A note on a law <strong>of</strong> berry <strong>and</strong> on insistence<br />
stress. Information <strong>and</strong> Control, 1(1):76–81, September<br />
1957. CODEN IFCNA4. ISSN 0019-9958 (print), 1878-2981<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0019995857900943.<br />
M<strong>and</strong>elbrot:1957:LSM<br />
[Man57c] Benoît B. M<strong>and</strong>elbrot. Linguistique statistique macroscopique.<br />
Théorie mathématique de la loi de Zipf (basée sur les méthodes de<br />
la théorie de l’information et de la thermodynamique). (French)<br />
[Statistical macroscopic linguistics. Mathematical theory <strong>of</strong> Zipf’s<br />
Law (based on methods from the theory <strong>of</strong> information <strong>and</strong> from<br />
thermodynamics)]. Institut Henri Poincaré, Séminaire de calcul<br />
des probabilités, Paris, France, 1957. 58 pp. LCCN ????<br />
M<strong>and</strong>elbrot:1959:SML<br />
[Man59a] B. M<strong>and</strong>elbrot. Statistical macro-linguistics. Il Nuovo Cimento<br />
(10), 13(2 (supplemento)):518–520, ???? 1959. CODEN NU-<br />
CIAD. ISSN 0029-6341 (print), 1827-6121 (electronic). URL<br />
http://www.springerlink.com/content/xt67n3181h87336t/.<br />
M<strong>and</strong>elbrot:1959:ISI<br />
[Man59b] Benoît M<strong>and</strong>elbrot. Information sans interpretation dans la<br />
description des langues Réelles. (French) [Information without<br />
interpretation in the description <strong>of</strong> real languages]. Synthese,<br />
11(2):160–166, June 1959. CODEN ???? ISSN
REFERENCES 118<br />
0039-7857 (print), 1573-0964 (electronic). URL http://www.<br />
jstor.org/stable/20114289; http://www.springerlink.<br />
com/content/r10332532461x0r7/.<br />
M<strong>and</strong>elbrot:1959:EGC<br />
[Man59c] Benoît M<strong>and</strong>elbrot. Les ensembles gr<strong>and</strong>-canoniques de Gibbs;<br />
justification de leur unicité, basée sur la divisibilité infinie de<br />
leur énergie aléatoire. (French) [Gibbs gr<strong>and</strong> canonical ensembles,<br />
based on the infinite divisibility <strong>of</strong> their r<strong>and</strong>om energy].<br />
Comptes rendus de l’Académie des sciences, Paris, 249(??):1464–<br />
1466, ???? 1959. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1959:NCS<br />
[Man59d] Benoît M<strong>and</strong>elbrot. A note on a class <strong>of</strong> skew distribution<br />
functions: Analysis <strong>and</strong> critique <strong>of</strong> a paper <strong>by</strong> H. A. Simon.<br />
Information <strong>and</strong> Control, 2(1):90–99, April 1959. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995859900981. See [Sim55].<br />
M<strong>and</strong>elbrot:1959:VPSa<br />
[Man59e] Benoît M<strong>and</strong>elbrot. Variables et processus stochastiques de<br />
Pareto–Lévy, et la répartition des revenus. (French) [Pareto–<br />
Lévy variables <strong>and</strong> stochastics processes]. Comptes rendus de<br />
l’Académie des sciences, Paris, 249(??):613–615, ???? 1959. CO-<br />
DEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1959:VPSb<br />
[Man59f] Benoît M<strong>and</strong>elbrot. Variables et processus stochastiques de<br />
Pareto–Lévy, et la répartition des revenus. (French) [Pareto–Lévy<br />
variables <strong>and</strong> stochastics processes, <strong>and</strong> the repartition <strong>of</strong> incomes].<br />
Comptes rendus de l’Académie des sciences, Paris, 249<br />
(??):2153–2155, ???? 1959. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1960:BRJa<br />
[Man60a] Benoît M<strong>and</strong>elbrot. Book review: John Chadwick, The Decipherment<br />
<strong>of</strong> Linear B (1958) Cambridge University Press.<br />
Information <strong>and</strong> Control, 3(1):95–96, March 1960. CODEN<br />
IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995860903478.
REFERENCES 119<br />
M<strong>and</strong>elbrot:1960:BRJb<br />
[Man60b] Benoît M<strong>and</strong>elbrot. Book review: John G. Kemeny <strong>and</strong> J. Laurie<br />
Snell, Finite Markov Chains (1960) van Nostr<strong>and</strong>, New York,<br />
viii + 210 pp., $5.00. Information <strong>and</strong> Control, 3(2):205–206,<br />
June 1960. CODEN IFCNA4. ISSN 0019-9958 (print), 1878-2981<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0019995860908093.<br />
M<strong>and</strong>elbrot:1960:BRM<br />
[Man60c] Benoît M<strong>and</strong>elbrot. Book review: Mark Kac, Statistical Independence<br />
in Probability, Analysis <strong>and</strong> Number Theory $3.00,<br />
Carus Mathematical Monograph No. 12 (1959), John Wiley,<br />
Cambridge, Massachusetts 93 pp. Information <strong>and</strong> Control, 3(1):<br />
98–100, March 1960. CODEN IFCNA4. ISSN 0019-9958 (print),<br />
1878-2981 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S00199958609076.<br />
M<strong>and</strong>elbrot:1960:BRR<br />
[Man60d] Benoît M<strong>and</strong>elbrot. Book review: Robert V. Hogg <strong>and</strong> Allen<br />
B. Craig, Introduction to Mathematical Statistics (from a series<br />
<strong>of</strong> mathematics texts under the general editorship <strong>of</strong> C.<br />
B. Allendoerfer), x + 245 pp., $6.75 (1959) Macmillan, New<br />
York. Information <strong>and</strong> Control, 3(2):207–208, June 1960. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995860908226.<br />
M<strong>and</strong>elbrot:1960:BRB<br />
[Man60e] Benoît M<strong>and</strong>elbrot. Book review: S. Bochner, Lectures on<br />
Fourier Integrals, (with an Author’s Supplement on Monotonic<br />
Functions, Stieltjes Integrals <strong>and</strong> Harmonic Analysis). (Translated<br />
from the original 1932 German edition <strong>by</strong> M. Tenenbaum<br />
<strong>and</strong> H. Pollard) $5.00. Annals <strong>of</strong> Mathematics Study<br />
No. 421959, Princeton University Press New York, 333 pp.,<br />
$5.00. Information <strong>and</strong> Control, 3(1):94–95, March 1960. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995860903326.<br />
M<strong>and</strong>elbrot:1960:PLL<br />
[Man60f] Benoît M<strong>and</strong>elbrot. The Pareto–Lévy law <strong>and</strong> the distribution <strong>of</strong><br />
income. International Economic Review, 1(2):79–106, May 1960.
REFERENCES 120<br />
CODEN INERAE. ISSN 0020-6598 (print), 1468-2354 (electronic).<br />
URL http://www.ingenta.com/journals/browse/<br />
bpl/iere; http://www.jstor.org/stable/2525289.<br />
M<strong>and</strong>elbrot:1960:PSL<br />
[Man60g] Benoît M<strong>and</strong>elbrot. Processus stochastiques à loi stable positive,<br />
permanents, markoviens, stationnaires (non additifs).<br />
(French) [Stochastic processes with positive stable law, permanent,<br />
markov, stationary (non-additive)]. Comptes rendus de<br />
l’Académie des sciences, Paris, 250(??):451–453, ???? 1960. CO-<br />
DEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1960:TDI<br />
[Man60h] Benoît M<strong>and</strong>elbrot. Teoria della informazione. Information<br />
<strong>and</strong> Control, 3(4):384–386, December 1960. CODEN<br />
IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995860910457.<br />
M<strong>and</strong>elbrot:1961:BRK<br />
[Man61a] Benoît M<strong>and</strong>elbrot. Book review: A. N.Kolmogor<strong>of</strong>f <strong>and</strong> W.<br />
M.Tichomirow, Entropy <strong>and</strong> Capacity <strong>of</strong> Sets in Function Spaces.<br />
Translated <strong>by</strong> P. Franken <strong>and</strong> K. Nawrotzki from the Russian<br />
original which appeared in 1960. 80 pp., price unknown. Text in<br />
German: Arbeiten zur Informationstheorie, III Entropid und Kapazität<br />
von Mengen in Funktionalraümen. Uspekhi Mat. Nauk<br />
14, 1959 Deutscher Verlag der Wissenschaften 386, 1960. Information<br />
<strong>and</strong> Control, 4(2–3):227–228, September 1961. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995861800120.<br />
M<strong>and</strong>elbrot:1961:BRBb<br />
[Man61b] Benoît M<strong>and</strong>elbrot. Book review: Contributions to Probability<br />
<strong>and</strong> Statistics: Essays in Honor <strong>of</strong> Harold Hotelling (Ingram<br />
Olkin, Sudhist G. Ghurye, Wassily Hoeffding, William G.<br />
Madow, <strong>and</strong> Henry B. Mann, eds.). SIAM Review, 3(1):80, January<br />
1961. CODEN SIREAD. ISSN 0036-1445 (print), 1095-7200<br />
(electronic). URL http://link.aip.org/link/siread/v3/i1/<br />
p80/s1; http://www.jstor.org/stable/2027260.<br />
M<strong>and</strong>elbrot:1961:BRBa<br />
[Man61c] Benoît M<strong>and</strong>elbrot. Book review: La Theorie Physique au Sens<br />
de Boltzmann (René Dugas). (French) [The Physical Theory Ac-
REFERENCES 121<br />
cording to Boltzmann (René Dugas)]. SIAM Review, 3(2):183–<br />
184, April 1961. CODEN SIREAD. ISSN 0036-1445 (print), 1095-<br />
7200 (electronic). URL http://link.aip.org/link/siread/<br />
v3/i2/p183/s1; http://www.jstor.org/stable/2027403.<br />
M<strong>and</strong>elbrot:1961:BRBc<br />
[Man61d] Benoît M<strong>and</strong>elbrot. Book review: Mathematical Methods in the<br />
Social Sciences, 1959, Proceedings <strong>of</strong> the First Stanford Symposium<br />
(Kenneth J. Arrow, Samuel Karlin, <strong>and</strong> Patrick Suppes,<br />
eds.). SIAM Review, 3:80–??, 1961. CODEN SIREAD. ISSN<br />
0036-1445 (print), 1095-7200 (electronic). URL http://link.<br />
aip.org/link/siread/v3/i1/p80/s2.<br />
M<strong>and</strong>elbrot:1961:BRG<br />
[Man61e] Benoît M<strong>and</strong>elbrot. Book review: Gustav Herdan, Type Token<br />
Mathematics, (Janua Linguarum, Series Maior, IV) (+ 110 pp. <strong>of</strong><br />
indices <strong>and</strong> tables <strong>of</strong> functions). 54 Dutch GL, approx. $14.00. A<br />
Textbook <strong>of</strong> Mathematical Linguistics 1960 Mouton & Cie, New<br />
York <strong>and</strong> London, iv + 110 pp. <strong>of</strong> indices <strong>and</strong> tables <strong>of</strong> functions.<br />
Information <strong>and</strong> Control, 4(1):83–85, March 1961. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995861800417.<br />
M<strong>and</strong>elbrot:1961:CDH<br />
[Man61f] Benoît M<strong>and</strong>elbrot. Comment on dr. Herdan’s letter. Information<br />
<strong>and</strong> Control, 4(2–3):241, September 1961. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S001999586180017X.<br />
M<strong>and</strong>elbrot:1961:FNC<br />
[Man61g] Benoît M<strong>and</strong>elbrot. Final note on a class <strong>of</strong> skew distribution<br />
functions: Analysis <strong>and</strong> critique <strong>of</strong> a model due to H. A. Simon.<br />
Information <strong>and</strong> Control, 4(2–3):198–216, September 1961. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995861800089.<br />
M<strong>and</strong>elbrot:1961:IDP<br />
[Man61h] Benoît M<strong>and</strong>elbrot. Information <strong>and</strong> decision processes (robert E.<br />
machol, ed.). SIAM Review, 3:182–??, 1961. CODEN SIREAD.<br />
ISSN 0036-1445 (print), 1095-7200 (electronic). URL http://<br />
link.aip.org/link/siread/v3/i2/p182/s1.
REFERENCES 122<br />
M<strong>and</strong>elbrot:1961:TWF<br />
[Man61i] Benoît M<strong>and</strong>elbrot. On the theory <strong>of</strong> word frequencies <strong>and</strong> on<br />
related Markovian models <strong>of</strong> discourse. In R. Jakobson, editor,<br />
Structures <strong>of</strong> language <strong>and</strong> its mathematical aspects, pages 120–<br />
219. American Mathematical Society, Providence, RI, USA, 1961.<br />
LCCN ????<br />
M<strong>and</strong>elbrot:1961:PSF<br />
[Man61j] Benoît M<strong>and</strong>elbrot. Post scriptum to “Final note”. Information<br />
<strong>and</strong> Control, 4(2–3):300–304, September 1961. CO-<br />
DEN IFCNA4. ISSN 0019-9958 (print), 1878-2981 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0019995861800259.<br />
M<strong>and</strong>elbrot:1961:RBD<br />
[Man61k] Benoît M<strong>and</strong>elbrot. Review: Information <strong>and</strong> Decision Processes.<br />
<strong>by</strong> Robert E. Machol. SIAM Review, 3(2):182–183, April<br />
1961. CODEN SIREAD. ISSN 0036-1445 (print), 1095-7200 (electronic).<br />
URL http://www.jstor.org/stable/2027402.<br />
M<strong>and</strong>elbrot:1961:RBM<br />
[Man61l] Benoît M<strong>and</strong>elbrot. Review: Mathematical Methods in the Social<br />
Sciences, 1959, Proceedings <strong>of</strong> the First Stanford Symposium, <strong>by</strong><br />
Kenneth J. Arrow, Samuel Karlin, Patrick Suppes. SIAM Review,<br />
3(1):80–81, January 1961. CODEN SIREAD. ISSN 0036-1445<br />
(print), 1095-7200 (electronic). URL http://www.jstor.org/<br />
stable/2027261.<br />
M<strong>and</strong>elbrot:1961:SPR<br />
[Man61m] Benoît M<strong>and</strong>elbrot. Stable Paretian r<strong>and</strong>om functions <strong>and</strong> the<br />
multiplicative variation <strong>of</strong> income. Econometrica, 29(4):517–543,<br />
October 1961. CODEN ECMTA7. ISSN 0012-9682. URL http:<br />
//www.jstor.org/stable/1911802.<br />
M<strong>and</strong>elbrot:1962:BRB<br />
[Man62a] Benoît M<strong>and</strong>elbrot. Book review: B. V. Gnedenko, The Theory<br />
<strong>of</strong> Probability, translated <strong>by</strong> B. D. Seckler, $8.75, 2nd ed.<br />
1962, Chelsea, New York 459. Information <strong>and</strong> Control, 5(2):<br />
173, June 1962. CODEN IFCNA4. ISSN 0019-9958 (print),<br />
1878-2981 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0019995862903340.
REFERENCES 123<br />
M<strong>and</strong>elbrot:1962:PDI<br />
[Man62b] Benoît M<strong>and</strong>elbrot. Paretian distributions <strong>and</strong> income maximization.<br />
The Quarterly Journal <strong>of</strong> Economics, 76(1):57–85, February<br />
1962. CODEN QJECAT. ISSN 0033-5533 (print), 1531-4650<br />
(electronic). URL http://www.jstor.org/stable/1891131.<br />
M<strong>and</strong>elbrot:1962:RSE<br />
[Man62c] Benoît M<strong>and</strong>elbrot. The role <strong>of</strong> sufficiency <strong>and</strong> <strong>of</strong> estimation in<br />
thermodynamics. Annals <strong>of</strong> Mathematical Statistics, 33(3):1021–<br />
1038, September 1962. CODEN AASTAD. ISSN 0003-4851. URL<br />
http://www.jstor.org/stable/2237878.<br />
M<strong>and</strong>elbrot:1962:SNR<br />
[Man62d] Benoît M<strong>and</strong>elbrot. Statistics <strong>of</strong> natural resources <strong>and</strong> the law<br />
<strong>of</strong> Pareto. Research Note NC-146, IBM, Yorktown Heights, NY,<br />
USA, June 29, 1962.<br />
M<strong>and</strong>elbrot:1962:CPS<br />
[Man62e] Benoît M<strong>and</strong>elbrot. Sur certains prix spéculatifs: faits empiriques<br />
et modèle basé sur les processus stables additifs non gaussiens<br />
de Paul Lévy. (French) [On certain speculative prices: empirical<br />
evidence <strong>and</strong> model-based additive non-Gaussian stable processes<br />
<strong>of</strong> Paul Lévy]. Comptes rendus de l’Académie des sciences, Paris,<br />
254(??):3968–3970, ???? 1962. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1963:BRJ<br />
[Man63a] Benoît M<strong>and</strong>elbrot. Book review: Joseph P. La Salle, Solomon<br />
Lefschetz, Editors, Recent Soviet Contributions to Mathematics<br />
(1962) Macmillan, 324 pp. Information <strong>and</strong> Control, 6(3):310–<br />
311, September 1963. CODEN IFCNA4. ISSN 0019-9958 (print),<br />
1878-2981 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0019995863904182.<br />
M<strong>and</strong>elbrot:1963:NMSa<br />
[Man63b] Benoît M<strong>and</strong>elbrot. New methods in statistical economics. Journal<br />
<strong>of</strong> Political Economy, 71(5):421–440, October 1963. CODEN<br />
???? ISSN ???? URL http://www.jstor.org/stable/1829014.<br />
Reprinted in [Man63c].<br />
M<strong>and</strong>elbrot:1963:NMSb<br />
[Man63c] Benoît M<strong>and</strong>elbrot. New methods in statistical economics. Bulletin<br />
<strong>of</strong> the International Statistical Institute, Ottawa Session, 40
REFERENCES 124<br />
(2):669–720, ???? 1963. CODEN ???? ISSN ???? Reprint <strong>of</strong><br />
[Man63b].<br />
M<strong>and</strong>elbrot:1963:SPI<br />
[Man63d] Benoît M<strong>and</strong>elbrot. The stable Paretian income distribution<br />
when the apparent exponent is near two. International Economic<br />
Review, 4(1):111–115, January 1963. CODEN INERAE.<br />
ISSN 0020-6598 (print), 1468-2354 (electronic). URL http://<br />
www.jstor.org/stable/2525463.<br />
M<strong>and</strong>elbrot:1963:VCSa<br />
[Man63e] Benoît M<strong>and</strong>elbrot. The variation <strong>of</strong> certain speculative prices.<br />
The Journal <strong>of</strong> Business at the University <strong>of</strong> Chicago, 36(4):394–<br />
419, October 1963. CODEN ???? ISSN 0021-9398 (print),<br />
1537-5374 (electronic). URL http://www.jstor.org/stable/<br />
2350970. Reprinted in [Man63f].<br />
M<strong>and</strong>elbrot:1963:VCSb<br />
[Man63f] Benoît M<strong>and</strong>elbrot. The variation <strong>of</strong> certain speculative prices.<br />
In P. H. Cootner, editor, The r<strong>and</strong>om character <strong>of</strong> stock market<br />
prices, pages 297–337. MIT Press, Cambridge, MA, USA, 1963.<br />
LCCN ???? Reprint <strong>of</strong> [Man63e].<br />
M<strong>and</strong>elbrot:1964:NMS<br />
[Man64a] B. M<strong>and</strong>elbrot. New methods in statistical economics. Bull. Inst.<br />
Int. Stat., 40(??):699–721, ???? 1964. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1964:ECC<br />
[Man64b] Benoît M<strong>and</strong>elbrot. The epistemology <strong>of</strong> chance in certain newer<br />
sciences. Read at The Jerusalem International Congress on Logic,<br />
Methodology <strong>and</strong> the Philosophy <strong>of</strong> Science, 1964.<br />
M<strong>and</strong>elbrot:1964:DST<br />
[Man64c] Benoît M<strong>and</strong>elbrot. On the derivation <strong>of</strong> statistical thermodynamics<br />
from purely phenomenological principles. Journal <strong>of</strong><br />
Mathematical Physics, 5(2):164–171, February 1964. CODEN<br />
JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-<br />
2427. URL http://jmp.aip.org/resource/1/jmapaq/v5/i2/<br />
p164_s1; http://link.aip.org/link/jmapaq/v5/i2/p164/<br />
s1.
REFERENCES 125<br />
M<strong>and</strong>elbrot:1964:RWF<br />
[Man64d] Benoît M<strong>and</strong>elbrot. R<strong>and</strong>om walks, fire damage amount <strong>and</strong><br />
other Paretian risk phenomena. Operations Research, 12(4):582–<br />
585, August 1964. CODEN OPREAI. ISSN 0030-364X (print),<br />
1526-5463 (electronic).<br />
167704.<br />
URL http://www.jstor.org/stable/<br />
M<strong>and</strong>elbrot:1964:SSR<br />
[Man64e] Benoît M<strong>and</strong>elbrot. Self-similar r<strong>and</strong>om processes <strong>and</strong> the range.<br />
Research Report RC-1163, IBM, Yorktown Heights, NY, USA,<br />
April 13, 1964.<br />
M<strong>and</strong>elbrot:1965:ITP<br />
[Man65a] Benoît M<strong>and</strong>elbrot. Information theory <strong>and</strong> psycholinguistics. In<br />
B. B. Wolman <strong>and</strong> E. N. Nagel, editors, Scientific Psychology:<br />
Principles <strong>and</strong> Approaches, pages 550–562. Basic Books, New<br />
York, NY, USA, 1965. LCCN ????<br />
M<strong>and</strong>elbrot:1965:LSU<br />
[Man65b] Benoît M<strong>and</strong>elbrot. Leo Szilard <strong>and</strong> unique decipherability.<br />
IEEE Transactions on Information Theory, IT-11(3):455–456,<br />
???? 1965. CODEN IETTAW. ISSN 0018-9448 (print), 1557-<br />
9654 (electronic).<br />
M<strong>and</strong>elbrot:1965:SSE<br />
[Man65c] Benoît M<strong>and</strong>elbrot. Self similar error clus ters in communications<br />
systems <strong>and</strong> the concept <strong>of</strong> conditional stationarity. IEEE<br />
Transactions on Communications Technology, 13(??):71–90, ????<br />
1965. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1965:CPS<br />
[Man65d] Benoît M<strong>and</strong>elbrot. Une classe de processus stochastiques homothétiques<br />
à soi; application à la loi climatologique H. E.<br />
Hurst. (French) [A class <strong>of</strong> stochastic self-homothetic processes].<br />
Comptes rendus de l’Académie des sciences, Paris, 260(??):3274–<br />
3277, ???? 1965. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1966:FFP<br />
[Man66a] Benoît M<strong>and</strong>elbrot. Forecasts <strong>of</strong> future prices, unbiased markets,<br />
<strong>and</strong> “martingale” models. The Journal <strong>of</strong> Business at the University<br />
<strong>of</strong> Chicago, 39(1):242–255, January 1966. CODEN ????<br />
ISSN 0021-9398 (print), 1537-5374 (electronic). URL http://<br />
www.jstor.org/stable/2351745.
REFERENCES 126<br />
M<strong>and</strong>elbrot:1966:ITPa<br />
[Man66b] Benoît M<strong>and</strong>elbrot. Information theory <strong>and</strong> psycholinguistics. In<br />
R. C. Oldfield <strong>and</strong> J. C. Marshall, editors, Language, <strong>Selected</strong><br />
Readings, page ?? Penguin, New York, NY, USA, 1966. LCCN<br />
????<br />
M<strong>and</strong>elbrot:1966:ITPb<br />
[Man66c] Benoît M<strong>and</strong>elbrot. Information theory <strong>and</strong> psycholinguistics.<br />
In P. Lazarfeld <strong>and</strong> N. Henry, editors, Readings in Mathematical<br />
Social Science, page ?? Science Research Associates, Chicago, IL,<br />
USA, 1966. LCCN ???? Paperback edition issued in 1968.<br />
M<strong>and</strong>elbrot:1966:NMV<br />
[Man66d] Benoît M<strong>and</strong>elbrot. Nouveaux modéles de la variation des prix<br />
(cycles lents et changements instantanés). (French) [New models<br />
<strong>of</strong> price changes (slow cycles <strong>and</strong> instantaneous changes)].<br />
Cahiers du Séminaire d’ Économétrie, ??(9):53–66, ???? 1966.<br />
CODEN ???? ISSN ???? URL http://www.jstor.org/stable/<br />
20075411.<br />
M<strong>and</strong>elbrot:1967:SNS<br />
[Man67a] B. M<strong>and</strong>elbrot. Some noises with 1/f spectrum, a bridge between<br />
direct current <strong>and</strong> white noise. IEEE Transactions on Information<br />
Theory, 13(2):289–298, April 1967. CODEN IETTAW. ISSN<br />
0018-9448 (print), 1557-9654 (electronic).<br />
M<strong>and</strong>elbrot:1967:HLC<br />
[Man67b] Benoît M<strong>and</strong>elbrot. How long is the coast <strong>of</strong> Britain? Statistical<br />
self-similarity <strong>and</strong> fractional dimension. Science, 156(3775):636–<br />
638, May 5, 1967. CODEN SCIEAS. ISSN 0036-8075 (print),<br />
1095-9203 (electronic). URL http://www.jstor.org/stable/<br />
1721427; http://www.sciencemag.org/content/156/3775/<br />
636.full.pdf.<br />
M<strong>and</strong>elbrot:1967:CCD<br />
[Man67c] Benoît M<strong>and</strong>elbrot. Les constantes chiffrées du discours. (French)<br />
[the constant figures <strong>of</strong> speech]. In J. Martinet, editor, Encyclopédie<br />
de la Pléiade: Linguistique, pages 46–56. Gallimard,<br />
Paris, France, 1967. LCCN ????<br />
M<strong>and</strong>elbrot:1967:SRF<br />
[Man67d] Benoît M<strong>and</strong>elbrot. Sporadic r<strong>and</strong>om functions <strong>and</strong> conditional<br />
spectral analysis: Self-similar examples <strong>and</strong> limits. In Proceed-
REFERENCES 127<br />
ings <strong>of</strong> the Fifth Berkeley Symposium on Mathematical Statistics<br />
<strong>and</strong> Probability (Berkeley, California, 1965/66), Vol. III: Physical<br />
Sciences, pages 155–179. University <strong>of</strong> California Press, Berkeley,<br />
CA, USA, 1967.<br />
M<strong>and</strong>elbrot:1967:ST<br />
[Man67e] Benoît M<strong>and</strong>elbrot. Sporadic turbulence. Physics <strong>of</strong> Fluids,<br />
10(??):5302–5303, ???? 1967. CODEN PHFLE6. ISSN<br />
1070-6631. URL http://link.aip.org/link/pfldas/v10/i9/<br />
pS302/s2. Proceedings: Boundary Layers <strong>and</strong> Turbulence (Kyoto<br />
International Symposium, 1966).<br />
M<strong>and</strong>elbrot:1967:EDH<br />
[Man67f] Benoît M<strong>and</strong>elbrot. Sur l’épistémologie du hasard dans les sciences<br />
sociales: invariance des lois et verification des hypotheses.<br />
In J. Piaget, editor, Encyclopédie de la Pléiade: Logique<br />
et Connaissance Scientifique, pages 1097–1113. Gallimard, Paris,<br />
France, 1967.<br />
M<strong>and</strong>elbrot:1967:VSO<br />
[Man67g] Benoît M<strong>and</strong>elbrot. The variation <strong>of</strong> some other speculative<br />
prices. The Journal <strong>of</strong> Business at the University <strong>of</strong> Chicago,<br />
40(4):393–413, October 1967. CODEN ???? ISSN 0021-9398<br />
(print), 1537-5374 (electronic). URL http://www.jstor.org/<br />
stable/2351623.<br />
M<strong>and</strong>elbrot:1968:SAR<br />
[Man68] Benoît M<strong>and</strong>elbrot. Some aspects <strong>of</strong> the r<strong>and</strong>om walk model <strong>of</strong><br />
stock market prices: Comment. International Economic Review,<br />
9(2):258–259, June 1968. CODEN INERAE. ISSN 0020-6598<br />
(print), 1468-2354 (electronic). URL http://www.jstor.org/<br />
stable/2525479.<br />
M<strong>and</strong>elbrot:1969:LRL<br />
[Man69] Benoît M<strong>and</strong>elbrot. Long-run linearity, locally Gaussian process,<br />
H-spectra <strong>and</strong> infinite variances. International Economic Review,<br />
10(1):82–111, February 1969. CODEN INERAE. ISSN 0020-6598<br />
(print), 1468-2354 (electronic). URL http://www.jstor.org/<br />
stable/2525574.<br />
M<strong>and</strong>elbrot:1970:NTD<br />
[Man70a] Benoît M<strong>and</strong>elbrot. On negative temperature for discourse. Discussion<br />
<strong>of</strong> a paper <strong>by</strong> Pr<strong>of</strong>. N. F. Ramsey. In E. B. Stuart
REFERENCES 128<br />
et al., editors, Critical Review <strong>of</strong> Thermodynamics, pages 230–<br />
232. Mono Book, Baltimore, MD, USA, 1970. LCCN ????<br />
M<strong>and</strong>elbrot:1970:SDP<br />
[Man70b] Benoît M<strong>and</strong>elbrot. Statistical dependence in prices <strong>and</strong> interest<br />
rates. In ????, editor, Papers <strong>of</strong> the Second World Congress <strong>of</strong><br />
the Econometric Society, Cambridge, Engl<strong>and</strong> (8–14 Sept. 1970),<br />
page ?? Econometric Society, Cambridge, UK, 1970. LCCN ????<br />
Proceedings published in Econometrica 39(4) 1–266 (1970).<br />
M<strong>and</strong>elbrot:1970:SSS<br />
[Man70c] Benoît M<strong>and</strong>elbrot. Statistical self similarity <strong>and</strong> very erratic<br />
chance fluctuations. Trumbull Lectures, Yale University., 1970.<br />
M<strong>and</strong>elbrot:1971:FFG<br />
[Man71a] Benoît M<strong>and</strong>elbrot. A fast fractional Gaussian noise generator.<br />
Water Resources Research, 7(??):543–553, ???? 1971. CODEN<br />
WRERAQ. ISSN 0043-1397 (print), 1944-7973 (electronic).<br />
M<strong>and</strong>elbrot:1971:LRN<br />
[Man71b] Benoît M<strong>and</strong>elbrot. Linear regression with non-normal error<br />
terms: a comment. Review <strong>of</strong> Economics <strong>and</strong> Statistics, 53(2):<br />
205–206, May 1971. CODEN RECSA9. ISSN 0034-6535 (print),<br />
1530-9142 (electronic).<br />
1925721.<br />
URL http://www.jstor.org/stable/<br />
M<strong>and</strong>elbrot:1971:WCP<br />
[Man71c] Benoît B. M<strong>and</strong>elbrot. When can price be arbitraged efficiently?<br />
A limit to the validity <strong>of</strong> the r<strong>and</strong>om walk <strong>and</strong> martingale models.<br />
Review <strong>of</strong> Economics <strong>and</strong> Statistics, 53(3):225–236, August<br />
1971. CODEN RECSA9. ISSN 0034-6535 (print), 1530-9142<br />
(electronic). URL http://www.jstor.org/stable/1937966.<br />
M<strong>and</strong>elbrot:1972:BLP<br />
[Man72a] Benoît M<strong>and</strong>elbrot. Broken line process derived as an approximation<br />
to fractional noise. Water Resources Research, 8(??):<br />
1354–1356, ???? 1972. CODEN WRERAQ. ISSN 0043-1397<br />
(print), 1944-7973 (electronic).<br />
M<strong>and</strong>elbrot:1972:SMN<br />
[Man72b] Benoît M<strong>and</strong>elbrot. Statistical methodology for nonperiodic cycles:<br />
from the covariance to the R/S analysis. Annals <strong>of</strong> Eco-
REFERENCES 129<br />
nomic <strong>and</strong> Social Measurement, 1(??):259–290, ???? 1972. CO-<br />
DEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1972:CEV<br />
[Man72c] Benoît B. M<strong>and</strong>elbrot. Correction <strong>of</strong> an error in “the variation<br />
<strong>of</strong> certain speculative prices” (1963). The Journal <strong>of</strong> Business at<br />
the University <strong>of</strong> Chicago, 45(4):542–543, October 1972. CODEN<br />
???? ISSN 0021-9398 (print), 1537-5374 (electronic). URL http:<br />
//www.jstor.org/stable/2351576.<br />
M<strong>and</strong>elbrot:1972:DCC<br />
[Man72d] Benoît B. M<strong>and</strong>elbrot. On Dvoretzky coverings for the circle.<br />
Probability theory <strong>and</strong> related fields, 22(2):158–160, ????<br />
1972. CODEN PTRFEU. ISSN 0178-8051 (print), 1432-2064<br />
(electronic). URL http://www.springerlink.com/content/<br />
p28633472n176w2t/.<br />
M<strong>and</strong>elbrot:1972:PRL<br />
[Man72e] Benoît B. M<strong>and</strong>elbrot. Possible refinement <strong>of</strong> the lognormal hypothesis<br />
concerning the distribution <strong>of</strong> energy dissipation in intermittent<br />
turbulence. In Murray Rosenblatt <strong>and</strong> Chester Murray<br />
Van Atta, editors, Statistical Models <strong>and</strong> Turbulence. Proceedings<br />
<strong>of</strong> a symposium held at the University <strong>of</strong> California, San<br />
Diego (La Jolla), July 15–21, 1971, volume 12 <strong>of</strong> Lecture Notes in<br />
Physics, pages 333–351. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1972. ISBN 0-387-05716-<br />
1 (New York), 3-387-05716-4 (Berlin). ISSN 0075-8450 (print),<br />
1616-6361 (electronic). LCCN QC1 L47 no. 12. URL http://<br />
www.springerlink.com/content/y0q6173605g21v8j/.<br />
M<strong>and</strong>elbrot:1972:RSR<br />
[Man72f] Benoît B. M<strong>and</strong>elbrot. Renewal sets <strong>and</strong> r<strong>and</strong>om cutouts. Probability<br />
theory <strong>and</strong> related fields, 22(2):145–157, ???? 1972. CODEN<br />
PTRFEU. ISSN 0178-8051 (print), 1432-2064 (electronic). URL<br />
http://www.springerlink.com/content/w3423987566u0872/.<br />
M<strong>and</strong>elbrot:1973:FND<br />
[Man73a] Benoît M<strong>and</strong>elbrot. Formes nouvelles du hasard dans les sciences.<br />
(French) [New forms <strong>of</strong> chance in the sciences]. Économie<br />
Appliquée, 26(??):307–319, ???? 1973. CODEN ???? ISSN ????
REFERENCES 130<br />
M<strong>and</strong>elbrot:1973:PRC<br />
[Man73b] Benoît M<strong>and</strong>elbrot. Le problème de la réalité des cycles lents, et<br />
le syndrome de Joseph. (French) [The problem <strong>of</strong> the reality <strong>of</strong><br />
slow cycles, <strong>and</strong> the Joseph syndrome]. Économie Appliquée, 26<br />
(??):349–365, ???? 1973. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1973:SVI<br />
[Man73c] Benoît M<strong>and</strong>elbrot. Le syndrome de la variance infinie, et ses<br />
rapports avec la discontinuité des prix. (French) [The syndrome <strong>of</strong><br />
infinite variance, <strong>and</strong> its relationship with price gaps]. Économie<br />
Appliquée, 26(??):321–348, ???? 1973. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1973:CSS<br />
[Man73d] Benoît B. M<strong>and</strong>elbrot. Comments on: “A subordinated stochastic<br />
process model with finite variance for speculative prices” (Econometrica<br />
41 (1973), no. 1, 135–155), <strong>by</strong> Peter K. Clark. Econometrica,<br />
41(1):157–159, January 1973. CODEN ECMTA7. ISSN<br />
0012-9682. URL http://www.jstor.org/stable/1913890.<br />
M<strong>and</strong>elbrot:1974:MAIa<br />
[Man74a] Benoît M<strong>and</strong>elbrot. Multiplications aléatoires itérées et distributions<br />
invariantes par moyenne pondérée aléatoire. (French) [R<strong>and</strong>om<br />
iterated multiplications <strong>and</strong> invariant distributions <strong>by</strong> r<strong>and</strong>om<br />
weighted mean]. C. R. Acad. Sci. Paris Sér. A, 278(??):<br />
289–292, ???? 1974. CODEN ???? ISSN ????<br />
M<strong>and</strong>elbrot:1974:MAIb<br />
[Man74b] Benoît M<strong>and</strong>elbrot. Multiplications aléatoires itérées et distributions<br />
invariantes par moyenne pondérée aléatoire: quelques extensions.<br />
(French) [R<strong>and</strong>om iterated multiplications <strong>and</strong> invariant<br />
distributions <strong>by</strong> r<strong>and</strong>om weighted mean: some extensions]. C.<br />
R. Acad. Sci. Paris Sér. A, 278(??):355–358, ???? 1974. CODEN<br />
???? ISSN ????<br />
M<strong>and</strong>elbrot:1974:PBM<br />
[Man74c] Benoît M<strong>and</strong>elbrot. A population birth-<strong>and</strong>-mutation process. I.<br />
Explicit distributions for the number <strong>of</strong> mutants in an old culture<br />
<strong>of</strong> bacteria. Journal <strong>of</strong> Applied Probability, 11(3):437–444,<br />
September 1974. CODEN JPRBAM. ISSN 0021-9002 (print),<br />
1475-6072 (electronic). URL http://www.jstor.org/stable/<br />
3212688.
REFERENCES 131<br />
M<strong>and</strong>elbrot:1974:ITS<br />
[Man74d] Benoît B. M<strong>and</strong>elbrot. Intermittent turbulence in self-similar cascades:<br />
divergence <strong>of</strong> high moments <strong>and</strong> dimension <strong>of</strong> the carrier.<br />
Journal <strong>of</strong> Fluid Mechanics, 62(??):331–358, ???? 1974. CODEN<br />
JFLSA7. ISSN 0022-1120 (print), 1469-7645 (electronic).<br />
M<strong>and</strong>elbrot:1974:RBP<br />
[Man74e] Benoît B. M<strong>and</strong>elbrot. Review: R<strong>and</strong>om Processes: Multiplicity<br />
Theory <strong>and</strong> Canonical Decomposition <strong>by</strong> Anthony Ephremides,<br />
John B. Thomas. American Scientist, 62(6):745–746, November<br />
1974. CODEN AMSCAC. ISSN 0003-0996 (print), 1545-2786<br />
(electronic). URL http://www.jstor.org/stable/27845245.<br />
M<strong>and</strong>elbrot:1975:CCP<br />
[Man75a] Benoît M<strong>and</strong>elbrot. The conditional cosmographic principle <strong>and</strong><br />
the fractional dimension <strong>of</strong> the universe. In Les objets fractals:<br />
Forme, hasard et dimension. (French) [Fractal objects: form,<br />
chance, <strong>and</strong> dimension] [Man75d], page ?? ISBN 2-08-210647-0,<br />
2-08-211155-5. LCCN QA447 .M36 1984. Nouvelle Bibliothèque<br />
Scientifique.<br />
M<strong>and</strong>elbrot:1975:FAP<br />
[Man75b] Benoît M<strong>and</strong>elbrot. Fonctions aléatoires pluri-temporelles: approximation<br />
poissonienne du cas brownien et généralisations.<br />
(French) [R<strong>and</strong>om multi-temporal functions: Poisson approximation<br />
<strong>of</strong> the Brownian case <strong>and</strong> generalizations]. Comptes Rendus<br />
Hebdomadaires des Séances de l’Académie des Sciences. Séries A<br />
et B, 280(??):A1075–A1078, ???? 1975. CODEN CHASAP. ISSN<br />
0151-0509.<br />
M<strong>and</strong>elbrot:1975:IQC<br />
[Man75c] Benoît M<strong>and</strong>elbrot. Hasards et tourbillons: quatre contes à clef.<br />
(French) [Chance <strong>and</strong> turbulence: four stories in key]. Annales<br />
des Mines, ??(??):61–66, November 1975. CODEN ???? ISSN<br />
????<br />
M<strong>and</strong>elbrot:1975:OFF<br />
[Man75d] Benoît M<strong>and</strong>elbrot. Les objets fractals: Forme, hasard et dimension.<br />
(French) [Fractal objects: form, chance, <strong>and</strong> dimension].<br />
Flammarion Editeur, Paris, France, 1975. ISBN 2-08-210647-0,<br />
2-08-211155-5. 190 + ii pp. LCCN QA447 .M36 1984. Nouvelle<br />
Bibliothèque Scientifique.
REFERENCES 132<br />
M<strong>and</strong>elbrot:1975:MDU<br />
[Man75e] Benoît M<strong>and</strong>elbrot. Sur un modèle décomposable d’univers<br />
hiérarchisé: déduction des corrélations galactiques sur la sphère<br />
céleste. (French) [A decomposable model <strong>of</strong> a hierarchical universe:<br />
deduction <strong>of</strong> galactic correlations on the celestial sphere].<br />
Comptes Rendus Hebdomadaires des Séances de l’Académie des<br />
Sciences. Séries A et B, 280(22):Aiii, A1551–A1554, ???? 1975.<br />
CODEN CHASAP. ISSN 0151-0509.<br />
M<strong>and</strong>elbrot:1975:LTSb<br />
[Man75f] Benoît B. M<strong>and</strong>elbrot. Limit theorem on the self-normalized<br />
range for weakly <strong>and</strong> strongly dependent process. Probability theory<br />
<strong>and</strong> related fields, 33(3):220, ???? 1975. CODEN PTRFEU.<br />
ISSN 0178-8051 (print), 1432-2064 (electronic). URL http://<br />
www.springerlink.com/content/v02m563154740307/.<br />
M<strong>and</strong>elbrot:1975:LTSa<br />
[Man75g] Benoît B. M<strong>and</strong>elbrot. Limit theorems on the self-normalized<br />
range for weakly <strong>and</strong> strongly dependent processes. Probability<br />
theory <strong>and</strong> related fields, 31(4):271–285, ???? 1975. CODEN<br />
PTRFEU. ISSN 0178-8051 (print), 1432-2064 (electronic). URL<br />
http://www.springerlink.com/content/q44817vq055l485k/.<br />
See corrigendum [Man76].<br />
M<strong>and</strong>elbrot:1975:GHT<br />
[Man75h] Benoît B. M<strong>and</strong>elbrot. On the geometry <strong>of</strong> homogeneous turbulence,<br />
with stress on the fractal dimension <strong>of</strong> the iso-surfaces<br />
<strong>of</strong> scalars. Journal <strong>of</strong> Fluid Mechanics, 72(??):401–416, ????<br />
1975. CODEN JFLSA7. ISSN 0022-1120 (print), 1469-7645 (electronic).<br />
M<strong>and</strong>elbrot:1975:SME<br />
[Man75i] Benoît B. M<strong>and</strong>elbrot. Stochastic models for the Earth’s relief,<br />
the shape <strong>and</strong> the fractal dimension <strong>of</strong> the coastlines, <strong>and</strong><br />
the number-area rule for isl<strong>and</strong>s. Proceedings <strong>of</strong> the National<br />
Academy <strong>of</strong> Sciences <strong>of</strong> the United States <strong>of</strong> America, 72(10):<br />
3825–3828, October 1975. CODEN PNASA6. ISSN 0027-8424<br />
(print), 1091-6490 (electronic).<br />
stable/65184.<br />
URL http://www.jstor.org/<br />
M<strong>and</strong>elbrot:1976:GFT<br />
[Man76a] Benoît M<strong>and</strong>elbrot. Géométrie fractale de la turbulence. Dimension<br />
de Hausdorff, dispersion et nature des singularités du
REFERENCES 133<br />
mouvement des fluides. (French) [Fractal geometry <strong>of</strong> turbulence.<br />
Hausdorff dimension, dispersion, <strong>and</strong> nature <strong>of</strong> the singularities<br />
in fluid motion]. Comptes Rendus Hebdomadaires des Séances de<br />
l’Académie des Sciences. Séries A et B, 282(2):Aii, A119–A120,<br />
???? 1976. CODEN CHASAP. ISSN 0151-0509.<br />
M<strong>and</strong>elbrot:1976:ITF<br />
[Man76b] Benoît M<strong>and</strong>elbrot. Intermittent turbulence <strong>and</strong> fractal dimension:<br />
kurtosis <strong>and</strong> the spectral exponent 5/3 +B. In Turbulence<br />
<strong>and</strong> Navier–Stokes equations (Proceedings <strong>of</strong> a Conference,<br />
Université Paris-Sud, Orsay, 1975), volume 34(5–6) <strong>of</strong> Lecture<br />
Notes in Mathematics, pages 121–145. Springer-Verlag, Berlin,<br />
Germany / Heidelberg, Germany / London, UK / etc., ???? 1976.<br />
CODEN ???? ISSN ???? URL http://www.springerlink.com/<br />
content/x8051gr03w584n68/.<br />
M<strong>and</strong>elbrot:1976:NDS<br />
[Man76c] Benoît M<strong>and</strong>elbrot. Note on the definition <strong>and</strong> the stationarity<br />
<strong>of</strong> fractional Gaussian noise. Journal <strong>of</strong> Hydrology,<br />
30(4):407–409, August 1976. CODEN ???? ISSN ????<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
0022169476901220.<br />
M<strong>and</strong>elbrot:1977:FTA<br />
[Man77a] Benoît B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> turbulence: attractors <strong>and</strong><br />
dispersion. In Turbulence Seminar (University <strong>of</strong> California,<br />
Berkeley, California, 1976/1977), volume 615 <strong>of</strong> Lecture Notes<br />
in Mathematics, pages 83–93. Springer-Verlag, Berlin, Germany /<br />
Heidelberg, Germany / London, UK / etc., 1977.<br />
M<strong>and</strong>elbrot:1977:FFC<br />
[Man77b] Benoît B. M<strong>and</strong>elbrot. Fractals: form, chance, <strong>and</strong> dimension.<br />
W. H. Freeman <strong>and</strong> Company, New York, NY, USA, revised edition,<br />
1977. ISBN 0-7167-0473-0, 0-7167-0474-9 (paperback). xvi<br />
+ 365 pp.<br />
French.<br />
LCCN QA447 .M3613 1977a. Translated from the<br />
M<strong>and</strong>elbrot:1977:LVF<br />
[Man77c] Benoît B. M<strong>and</strong>elbrot. Lecture V fractals <strong>and</strong> turbulence: Attractors<br />
<strong>and</strong> dispersion. Turbulence Seminar, 131(1–2):83–93,<br />
???? 1977. CODEN ???? ISSN ???? URL http://www.<br />
springerlink.com/content/w7lk031338u81534/.
REFERENCES 134<br />
M<strong>and</strong>elbrot:1977:POF<br />
[Man77d] Benoît B. M<strong>and</strong>elbrot. Physical objects with fractional dimension:<br />
seacoasts, galaxy clusters, turbulence <strong>and</strong> soap. Bulletin <strong>of</strong><br />
the Institute <strong>of</strong> Mathematics <strong>and</strong> its Applications, 13(7-8):189–<br />
196, ???? 1977. CODEN IMTABW. ISSN 0950-5628.<br />
M<strong>and</strong>elbrot:1978:GFS<br />
[Man78a] B. B. M<strong>and</strong>elbrot. Geometric facets <strong>of</strong> statistical physics: scaling<br />
<strong>and</strong> fractals. In D. Cabib et al., editors, Statistical physics—<br />
“STATPHYS 13” (Proc. Thirteenth IUPAP Conf. Statist. Phys.,<br />
Technion—Israel Inst. Tech., Haifa, 1977), Part 1, volume 2 <strong>of</strong><br />
Ann. Israel Phys. Soc., pages 225–233. Adam Hilger Ltd., Bristol,<br />
UK, 1978.<br />
M<strong>and</strong>elbrot:1978:CAA<br />
[Man78b] Benoît M<strong>and</strong>elbrot. Colliers aléatoires et une alternative aux<br />
promenades au hasard sans boucle: les cordonnets discrets et fractals.<br />
(French) [Necklaces <strong>and</strong> an alternative to loop-free r<strong>and</strong>om<br />
walks: discrete fractal cords]. Comptes Rendus Hebdomadaires<br />
des Séances de l’Académie des Sciences. Séries A et B, 286(20):<br />
A933–A936, ???? 1978. CODEN CHASAP. ISSN 0151-0509.<br />
M<strong>and</strong>elbrot:1978:FGT<br />
[Man78c] Benoît M<strong>and</strong>elbrot. The fractal geometry <strong>of</strong> trees <strong>and</strong> other natu<br />
ral phenomena. In B. Miles <strong>and</strong> J. Serra, editors, Buffon Bicentenary<br />
Symposium on Geometrical Probability, volume 23 <strong>of</strong><br />
Lecture Notes in Biomathematics, pages 235–249. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., 1978. ISBN ???? LCCN ????<br />
M<strong>and</strong>elbrot:1978:OFF<br />
[Man78d] Benoît M<strong>and</strong>elbrot. Les objets fractals. (French) [Fractal objects].<br />
La Recherche, 9(??):1–13, ???? 1978. CODEN RCCHBV. ISSN<br />
0029-5671 (print), 1625-9955 (electronic).<br />
M<strong>and</strong>elbrot:1979:CTN<br />
[Man79a] Benoît M<strong>and</strong>elbrot. Corrélations et texture dans un nouveau<br />
modèle d’univers hiérarchisé, basé sur les ensembles trémas.<br />
(French) [Correlations <strong>and</strong> texture in a new model <strong>of</strong> a hierarchical<br />
universe, based on [discrete?] sets]. Comptes Rendus Hebdomadaires<br />
des Séances de l’Académie des Sciences. Séries A et<br />
B, 288(1):A81–A83, ???? 1979. CODEN CHASAP. ISSN 0151-<br />
0509.
REFERENCES 135<br />
M<strong>and</strong>elbrot:1979:DPF<br />
[Man79b] Benoît B. M<strong>and</strong>elbrot. Discussion paper: Fractals, attractors,<br />
<strong>and</strong> the fractal dimension. Annals <strong>of</strong> the New York Academy<br />
<strong>of</strong> Sciences, 316(1):463–464, February 1979. CODEN ANYAA9.<br />
ISSN 0077-8923 (print), 1749-6632 (electronic). Bifurcation theory<br />
<strong>and</strong> applications in scientific disciplines (Papers, Conference,<br />
New York, 1977).<br />
M<strong>and</strong>elbrot:1980:FAI<br />
[Man80] Benoît B. M<strong>and</strong>elbrot. Fractal aspects <strong>of</strong> the iteration <strong>of</strong> z →<br />
λz(1 − z) for complex λ <strong>and</strong> z. Annals <strong>of</strong> the New York Academy<br />
<strong>of</strong> Sciences, 357(1):249–259, December 1980. CODEN ANYAA9.<br />
ISSN 0077-8923 (print), 1749-6632 (electronic). International conference<br />
on nonlinear dynamics.<br />
M<strong>and</strong>elbrot:1981:FGM<br />
[Man81a] Benoît M<strong>and</strong>elbrot. Fractals <strong>and</strong> geometry with many scales <strong>of</strong><br />
length. In Encyclopedia Britannica 1981 Yearbook <strong>of</strong> Science <strong>and</strong><br />
the Future, pages 168–181. Encyclopedia Britannica, Chicago, IL,<br />
USA, 1981. ISBN ???? LCCN ????<br />
M<strong>and</strong>elbrot:1981:SSS<br />
[Man81b] Benoît B. M<strong>and</strong>elbrot. Scalebound or scaling shapes: a useful<br />
distinction in the visual arts <strong>and</strong> in the natural sciences. Leonardo<br />
(Oxford, Engl<strong>and</strong>), 14(1):45–47, ???? 1981. CODEN LEONDP.<br />
ISSN 0024-094X (print), 1530-9282 (electronic). URL http://<br />
www.jstor.org/stable/1574481.<br />
M<strong>and</strong>elbrot:1982:CCR<br />
[Man82a] B. B. M<strong>and</strong>elbrot. Comment on computer rendering <strong>of</strong> fractal<br />
stochastic models. Communications <strong>of</strong> the Association for<br />
Computing Machinery, 25(8):581–584, August 1982. CODEN<br />
CACMA2. ISSN 0001-0782 (print), 1557-7317 (electronic).<br />
M<strong>and</strong>elbrot:1982:EEF<br />
[Man82b] B. B. M<strong>and</strong>elbrot. On an eigenfunction expansion <strong>and</strong> on fractional<br />
Brownian motions. Lettere Al Nuovo Cimento (1971–<br />
1985), 33(17):549–550, ???? 1982. CODEN LNUCAE. ISSN<br />
0024-1318. URL http://www.springerlink.com/content/<br />
d537931242363784/.
REFERENCES 136<br />
M<strong>and</strong>elbrot:1982:MCP<br />
[Man82c] Benoît M<strong>and</strong>elbrot. Des monstres de Cantor et de Peano àla<br />
géométrie fractale de la nature. (French) [Cantor <strong>and</strong> Peano monsters<br />
in the fractal geometry <strong>of</strong> nature]. In ????, volume 29 <strong>of</strong> Collect.<br />
Points Sér. Sci., pages 226–251. Seuil, Paris, France, 1982.<br />
M<strong>and</strong>elbrot:1982:DSD<br />
[Man82d] Benoît M<strong>and</strong>elbrot. On discs <strong>and</strong> sigma discs, that osculate the<br />
limit sets <strong>of</strong> groups <strong>of</strong> inversions. The Mathematical Intelligencer,<br />
4(??):??, ???? 1982. CODEN MAINDC. ISSN 0343-6993 (print),<br />
1866-7414 (electronic).<br />
M<strong>and</strong>elbrot:1982:FGN<br />
[Man82e] Benoît B. M<strong>and</strong>elbrot. The fractal geometry <strong>of</strong> nature. W. H.<br />
Freeman <strong>and</strong> Company, New York, NY, USA, 1982. ISBN 0-<br />
7167-1186-9. v + 460 pp. LCCN QA447 .M25 1982; QA447<br />
.M357 1982. Schriftenreihe für den Referenten. [Series for the<br />
Referee].<br />
M<strong>and</strong>elbrot:1983:EFM<br />
[Man83a] Benoît B. M<strong>and</strong>elbrot. An explicit fractal model <strong>of</strong> percolation<br />
clusters. In Percolation structures <strong>and</strong> processes, volume 5 <strong>of</strong><br />
Ann. Israel Phys. Soc., pages 59–80. Adam Hilger Ltd., Bristol,<br />
UK, 1983.<br />
M<strong>and</strong>elbrot:1983:FGN<br />
[Man83b] Benoît B. M<strong>and</strong>elbrot. The Fractal Geometry <strong>of</strong> Nature. W. H.<br />
Freeman <strong>and</strong> Company, New York, NY, USA, 1983. ISBN 0-<br />
7167-1186-9. 468 + 1 pp. LCCN QA447 .M271 1983. Updated<br />
<strong>and</strong> augment edition <strong>of</strong> [Man83b], but with same ISBN.<br />
M<strong>and</strong>elbrot:1983:QMC<br />
[Man83c] Benoît B. M<strong>and</strong>elbrot. On the quadratic mapping z → z 2 − µ<br />
for complex µ <strong>and</strong> z: The fractal structure <strong>of</strong> its M set, <strong>and</strong><br />
scaling. Physica D, Nonlinear phenomena, 7(1–3):224–239, May<br />
1983. CODEN PDNPDT. ISSN 0167-2789 (print), 1872-8022<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/0167278983901288. Order in chaos (Los Alamos,<br />
NM, 1982).
REFERENCES 137<br />
M<strong>and</strong>elbrot:1983:SIF<br />
[Man83d] Benoît B. M<strong>and</strong>elbrot. Self-inverse fractals osculated <strong>by</strong> sigmadiscs<br />
<strong>and</strong> the limit sets <strong>of</strong> inversion groups. The Mathematical<br />
Intelligencer, 5(2):9–17, June 1983. CODEN MAINDC. ISSN<br />
0343-6993 (print), 1866-7414 (electronic). URL http://www.<br />
springerlink.com/content/b4782275k6415231/.<br />
M<strong>and</strong>elbrot:1984:CCS<br />
[Man84a] Benoît B. M<strong>and</strong>elbrot. Comment on coherent structures in fluids,<br />
fractals, <strong>and</strong> the fractal structure <strong>of</strong> flow singularities. In Turbulence<br />
<strong>and</strong> chaotic phenomena in fluids (Kyoto, 1983), pages 207–<br />
208. North-Holl<strong>and</strong> Publishing Co., Amsterdam, The Netherl<strong>and</strong>s,<br />
1984.<br />
M<strong>and</strong>elbrot:1984:CEB<br />
[Man84b] Benoît B. M<strong>and</strong>elbrot. Comment on the equivalence between<br />
fracton/spectral dimensionality, <strong>and</strong> the dimensionality <strong>of</strong> recurrence.<br />
Journal <strong>of</strong> Statistical Physics, 36(5–6):541–543, ????<br />
1984. CODEN JSTPSB. ISSN 0022-4715 (print), 1572-9613<br />
(electronic). URL http://www.springerlink.com/content/<br />
k046263428n04707/.<br />
M<strong>and</strong>elbrot:1984:EFS<br />
[Man84c] Benoît B. M<strong>and</strong>elbrot. Each fractal set has a unique fractal dimension.<br />
In Turbulence <strong>and</strong> chaotic phenomena in fluids (Kyoto,<br />
1983), pages 203–206. North-Holl<strong>and</strong> Publishing Co., Amsterdam,<br />
The Netherl<strong>and</strong>s, 1984.<br />
M<strong>and</strong>elbrot:1984:FPS<br />
[Man84d] Benoît B. M<strong>and</strong>elbrot. Fractals in physics: Squig clusters,<br />
diffusions, fractal measures, <strong>and</strong> the unicity <strong>of</strong> fractal dimensionality.<br />
Journal <strong>of</strong> Statistical Physics, 34(5–6):895–930, ????<br />
1984. CODEN JSTPSB. ISSN 0022-4715 (print), 1572-9613<br />
(electronic). URL http://www.springerlink.com/content/<br />
xq15g34856h83h81/.<br />
M<strong>and</strong>elbrot:1984:OFF<br />
[Man84e] Benoît B. M<strong>and</strong>elbrot. Les objets fractals: Forme, hasard et dimension.<br />
(French) [Fractal objects: form, chance, <strong>and</strong> dimension].<br />
Nouvelle bibliothèque scientifique. Flammarion, Paris,<br />
France, second edition, 1984. 203 pp. LCCN QA447 .M36 1984.
REFERENCES 138<br />
M<strong>and</strong>elbrot:1984:FGF<br />
[Man84f] Benoît B. M<strong>and</strong>elbrot. On fractal geometry, <strong>and</strong> a few <strong>of</strong> the<br />
mathematical questions it has raised. In Proceedings <strong>of</strong> the International<br />
Congress <strong>of</strong> Mathematicians, Vol. 1, 2 (Warsaw, 1983),<br />
pages 1661–1675. PWN, Warsaw, Pol<strong>and</strong>, 1984.<br />
M<strong>and</strong>elbrot:1984:DIM<br />
[Man84g] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. VIII.<br />
The map z → λ(z +1/z), from linear to planar chaos, <strong>and</strong> the<br />
measurement <strong>of</strong> chaos. In Chaos <strong>and</strong> statistical methods (Kyoto,<br />
1983), volume 24 <strong>of</strong> Springer Ser. Synergetics, pages 32–41.<br />
Springer-Verlag, Berlin, Germany / Heidelberg, Germany / London,<br />
UK / etc., 1984.<br />
M<strong>and</strong>elbrot:1984:SSS<br />
[Man84h] Benoît B. M<strong>and</strong>elbrot. Squig sheets <strong>and</strong> some other squig fractal<br />
constructions. Journal <strong>of</strong> Statistical Physics, 36(5–6):519–<br />
539, ???? 1984. CODEN JSTPSB. ISSN 0022-4715 (print),<br />
1572-9613 (electronic). URL http://www.springerlink.com/<br />
content/k20w5q31555x03nj/.<br />
M<strong>and</strong>elbrot:1985:DIMa<br />
[Man85a] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. III.<br />
The individual molecules <strong>of</strong> the M-set, self-similarity properties,<br />
the empirical n 2 rule, <strong>and</strong> the n 2 conjecture. In Chaos, fractals,<br />
<strong>and</strong> dynamics (Guelph, Ont., 1981/1983), volume 98 <strong>of</strong> Lecture<br />
Notes in Pure <strong>and</strong> Applied Mathematics, pages 213–224. Dekker,<br />
New York, NY, USA, 1985.<br />
M<strong>and</strong>elbrot:1985:DIMb<br />
[Man85b] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. IV.<br />
The notion <strong>of</strong> “normalized radical” R <strong>of</strong> the M-set, <strong>and</strong> the fractal<br />
dimension <strong>of</strong> the boundary <strong>of</strong> R. InChaos, fractals, <strong>and</strong> dynamics<br />
(Guelph, Ont., 1981/1983), volume 98 <strong>of</strong> Lecture Notes in Pure<br />
<strong>and</strong> Applied Mathematics, pages 225–234. Dekker, New York, NY,<br />
USA, 1985.<br />
M<strong>and</strong>elbrot:1985:DIMf<br />
[Man85c] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps.<br />
IX. Continuous interpolation <strong>of</strong> the complex discrete map z →<br />
λz(1−z), <strong>and</strong> related topics. Physica Scripta, T9(??):59–63, ????<br />
1985. CODEN PHSTBO. ISSN 0031-8949 (print), 1402-4896
REFERENCES 139<br />
(electronic). Physics <strong>of</strong> chaos <strong>and</strong> related problems: Proceedings<br />
<strong>of</strong> the 59th Nobel Symposium 11–16 June 1984, Gräft˚avallen,<br />
Sweden.<br />
M<strong>and</strong>elbrot:1985:DIMc<br />
[Man85d] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. V.<br />
Conjecture that the boundary <strong>of</strong> the M-set has a fractal dimension<br />
equal to 2. In Chaos, fractals, <strong>and</strong> dynamics (Guelph, Ont.,<br />
1981/1983), volume 98 <strong>of</strong> Lecture Notes in Pure <strong>and</strong> Applied<br />
Mathematics, pages 235–238. Dekker, New York, NY, USA, 1985.<br />
M<strong>and</strong>elbrot:1985:DIMd<br />
[Man85e] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. VI.<br />
Conjecture that certain Julia sets include smooth components. In<br />
Chaos, fractals, <strong>and</strong> dynamics (Guelph, Ont., 1981/1983), volume<br />
98 <strong>of</strong> Lecture Notes in Pure <strong>and</strong> Applied Mathematics, pages<br />
239–242. Dekker, New York, NY, USA, 1985.<br />
M<strong>and</strong>elbrot:1985:DIMe<br />
[Man85f] Benoît B. M<strong>and</strong>elbrot. On the dynamics <strong>of</strong> iterated maps. VII.<br />
Domain-filling (“Peano”) sequences <strong>of</strong> fractal Julia sets, <strong>and</strong> an<br />
intuitive rationale for the Siegel discs. In Chaos, fractals, <strong>and</strong><br />
dynamics (Guelph, Ont., 1981/1983), volume 98 <strong>of</strong> Lecture Notes<br />
in Pure <strong>and</strong> Applied Mathematics, pages 243–253. Dekker, New<br />
York, NY, USA, 1985.<br />
M<strong>and</strong>elbrot:1985:SAF<br />
[Man85g] Benoît B. M<strong>and</strong>elbrot. Self-affine fractals <strong>and</strong> fractal dimension.<br />
Physica Scripta, 32(4):257–260, ???? 1985. CODEN PHSTBO.<br />
ISSN 0031-8949 (print), 1402-4896 (electronic).<br />
M<strong>and</strong>elbrot:1986:FMT<br />
[Man86a] B. B. M<strong>and</strong>elbrot. Fractal measures (their infinite moment sequences<br />
<strong>and</strong> dimensions) <strong>and</strong> multiplicative chaos: early works<br />
<strong>and</strong> open problems. In Dimensions <strong>and</strong> entropies in chaotic systems<br />
(Pecos River Ranch, NM, 1985), volume 32 <strong>of</strong> Springer Ser.<br />
Synergetics, pages 19–27. Springer-Verlag, Berlin, Germany /<br />
Heidelberg, Germany / London, UK / etc., 1986.<br />
M<strong>and</strong>elbrot:1986:MF<br />
[Man86b] Benoît B. M<strong>and</strong>elbrot. Multifractals <strong>and</strong> fractals. Physics Today,<br />
39(9):11–??, September 1986. CODEN PHTOAD. ISSN 0031-<br />
9228 (print), 1945-0699 (electronic). URL http://link.aip.<br />
org/link/phtoad/v39/i9/p11/s1.
REFERENCES 140<br />
M<strong>and</strong>elbrot:1986:SAFa<br />
[Man86c] Benoît B. M<strong>and</strong>elbrot. Self-affine fractal sets. I. The basic fractal<br />
dimensions. In Fractals in physics (Trieste, 1985), pages 3–<br />
15. North-Holl<strong>and</strong> Publishing Co., Amsterdam, The Netherl<strong>and</strong>s,<br />
1986.<br />
M<strong>and</strong>elbrot:1986:SAFb<br />
[Man86d] Benoît B. M<strong>and</strong>elbrot. Self-affine fractal sets. II. Length <strong>and</strong> surface<br />
dimensions. In Fractals in physics (Trieste, 1985), pages<br />
17–20. North-Holl<strong>and</strong> Publishing Co., Amsterdam, The Netherl<strong>and</strong>s,<br />
1986.<br />
M<strong>and</strong>elbrot:1986:SAFc<br />
[Man86e] Benoît B. M<strong>and</strong>elbrot. Self-affine fractal sets. III. Hausdorff dimension<br />
anomalies <strong>and</strong> their implications. In Fractals in physics<br />
(Trieste, 1985), pages 21–28. North-Holl<strong>and</strong> Publishing Co., Amsterdam,<br />
The Netherl<strong>and</strong>s, 1986.<br />
M<strong>and</strong>elbrot:1988:IMD<br />
[Man88] B. B. M<strong>and</strong>elbrot. An introduction to multifractal distribution<br />
functions. In R<strong>and</strong>om fluctuations <strong>and</strong> pattern growth (Cargèse,<br />
1988), volume 157 <strong>of</strong> NATO Adv. Sci. Inst. Ser. E Appl. Sci.,<br />
pages 279–291. Kluwer Academic Publishers, Norwell, MA, USA,<br />
<strong>and</strong> Dordrecht, The Netherl<strong>and</strong>s, 1988.<br />
M<strong>and</strong>elbrot:1989:FASb<br />
[Man89a] B. B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> an art for the sake <strong>of</strong> science. In<br />
Resch <strong>and</strong> Williams [RW89], pages 21–24. CODEN ???? ISBN<br />
0-08-037921-4. ISSN 0024-094X (print), 1530-9282 (electronic).<br />
LCCN N 7433.8 C66 1989. URL http://www.acm.org:80/pubs/<br />
citations/proceedings/graph/73877/p21-m<strong>and</strong>elbrot/. Also<br />
published as 1989 Supplement to Leonardo: Journal <strong>of</strong> the International<br />
Society for the Arts, Sciences <strong>and</strong> Technology.<br />
M<strong>and</strong>elbrot:1989:CMM<br />
[Man89b] Benoît B. M<strong>and</strong>elbrot. A class <strong>of</strong> multinomial multifractal measures<br />
with negative (latent) values for the “dimension” f(α). In<br />
Fractals’ physical origin <strong>and</strong> properties (Erice, 1988), volume 45<br />
<strong>of</strong> Ettore Majorana Internat. Sci. Ser. Phys. Sci., pages 3–29.<br />
Plenum Press, New York, NY, USA; London, UK, 1989.
REFERENCES 141<br />
M<strong>and</strong>elbrot:1989:FASa<br />
[Man89c] Benoît B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> an art for the sake <strong>of</strong> science.<br />
Leonardo (Oxford, Engl<strong>and</strong>), 2(Supplemental Issue):21–24, ????<br />
1989. CODEN LEONDP. ISSN 0024-094X (print), 1530-9282<br />
(electronic). URL http://www.jstor.org/stable/1557938.<br />
M<strong>and</strong>elbrot:1989:OFF<br />
[Man89d] Benoît B. M<strong>and</strong>elbrot. Les objets fractals: Forme, hasard et dimension.<br />
(French) [Fractal objects: form, chance, <strong>and</strong> dimension].<br />
Nouvelle bibliothèque scientifique. Flammarion, Paris,<br />
France, third edition, 1989. ISBN 2-08-211188-1. 268 pp. LCCN<br />
QA614.86 .M28 1989. 99.00F.<br />
M<strong>and</strong>elbrot:1989:MME<br />
[Man89e] Benoît B. M<strong>and</strong>elbrot. Multifractal measures, especially for<br />
the geophysicist. Pure <strong>and</strong> Applied Geophysics, 131(1–2):5–<br />
42, ???? 1989. CODEN PAGYAV. ISSN 0033-4553 (print),<br />
1420-9136 (electronic). URL http://www.springerlink.com/<br />
content/x445xm5507251257/.<br />
M<strong>and</strong>elbrot:1989:SFE<br />
[Man89f] Benoît B. M<strong>and</strong>elbrot. Some ‘facts’ that evaporate upon examination.<br />
The Mathematical Intelligencer, 11(4):17–19, December<br />
1989. CODEN MAINDC. ISSN 0343-6993 (print),<br />
1866-7414 (electronic). URL http://www.springerlink.com/<br />
content/08301p9317702218/.<br />
M<strong>and</strong>elbrot:1989:TFW<br />
[Man89g] Benoît B. M<strong>and</strong>elbrot. Temperature fluctuation: A well-defined<br />
<strong>and</strong> unavoidable notion. Physics Today, 42(1):71–??, January<br />
1989. CODEN PHTOAD. ISSN 0031-9228 (print), 1945-0699<br />
(electronic). URL http://link.aip.org/link/phtoad/v42/<br />
i1/p71/s1.<br />
M<strong>and</strong>elbrot:1990:NFD<br />
[Man90a] Benoît B. M<strong>and</strong>elbrot. Negative fractal dimensions <strong>and</strong> multifractals.<br />
Physica A, 163(1):306–315, February 1, 1990. CO-<br />
DEN PHYADX. ISSN 0378-4371 (print), 1873-2119 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
037843719090339T. Statistical physics (Rio de Janeiro, 1989).
REFERENCES 142<br />
M<strong>and</strong>elbrot:1990:NAM<br />
[Man90b] Benoît B. M<strong>and</strong>elbrot. New ‘anomalous’ multiplicative multifractals:<br />
Left sided f(α) <strong>and</strong> the modelling <strong>of</strong> DLA.<br />
Physica A, 168(1):95–111, September 1, 1990. CODEN<br />
PHYADX. ISSN 0378-4371 (print), 1873-2119 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
037843719090361U.<br />
M<strong>and</strong>elbrot:1990:TMM<br />
[Man90c] Benoît B. M<strong>and</strong>elbrot. Two meanings <strong>of</strong> multifractality, <strong>and</strong> the<br />
notion <strong>of</strong> negative fractal dimension. In Chaos/Khaos (Woods<br />
Hole, MA, 1989), pages 79–90. American Institute <strong>of</strong> Physics,<br />
Woodbury, NY, USA, 1990.<br />
M<strong>and</strong>elbrot:1991:FAC<br />
[Man91a] Benoît M<strong>and</strong>elbrot. Fractal aggregates, <strong>and</strong> the current lines<br />
<strong>of</strong> their electrostatic potentials. Physica A, 177(1–3):589–592,<br />
September 15, 1991. CODEN PHYADX. ISSN 0378-4371 (print),<br />
1873-2119 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/037843719190205Q.<br />
M<strong>and</strong>elbrot:1991:FGN<br />
[Man91b] Benoît B. M<strong>and</strong>elbrot. Die fraktale Geometrie der Natur. (German)<br />
[The Fractal Geometry <strong>of</strong> Nature]. Birkhäuser Verlag,<br />
Basel, Switzerl<strong>and</strong>, 1991. ISBN 3-7643-2646-8. 491 pp. LCCN<br />
???? Translated from the English <strong>by</strong> Reinhilt Zähle <strong>and</strong> Ulrich<br />
Zähle, Edited <strong>and</strong> with a foreword <strong>by</strong> U. Zähle.<br />
M<strong>and</strong>elbrot:1991:RMN<br />
[Man91c] Benoît B. M<strong>and</strong>elbrot. R<strong>and</strong>om multifractals: Negative dimensions<br />
<strong>and</strong> the resulting limitations <strong>of</strong> the thermodynamic formalism.<br />
Proceedings <strong>of</strong> the Royal Society <strong>of</strong> London. Series A, Mathematical<br />
<strong>and</strong> physical sciences, 434(1890):79–88, July 8, 1991.<br />
CODEN PRLAAZ. ISSN 0962-8444. URL http://www.jstor.<br />
org/stable/51986. Turbulence <strong>and</strong> stochastic processes: Kolmogorov’s<br />
ideas 50 years on.<br />
M<strong>and</strong>elbrot:1992:PDS<br />
[Man92a] Benoît M<strong>and</strong>elbrot. Plane DLA is not self-similar; is it<br />
a fractal that becomes increasingly compact as it grows?<br />
Physica A, 191(1–4):95–107, December 15, 1992. CODEN<br />
PHYADX. ISSN 0378-4371 (print), 1873-2119 (electronic).
REFERENCES 143<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
037843719290511N.<br />
M<strong>and</strong>elbrot:1992:SSH<br />
[Man92b] Benoît M<strong>and</strong>elbrot. Self-similarity <strong>of</strong> harmonic measure on<br />
DLA. Physica A, 185(1–4):77–86, June 15, 1992. CODEN<br />
PHYADX. ISSN 0378-4371 (print), 1873-2119 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
0378437192904402.<br />
M<strong>and</strong>elbrot:1993:SSC<br />
[Man93a] Benoît M<strong>and</strong>elbrot. Self-similarity <strong>and</strong> covered neighborhoods <strong>of</strong><br />
fractals: A r<strong>and</strong>om walk test. Physica A, 196(1):1–5, May 15,<br />
1993. CODEN PHYADX. ISSN 0378-4371 (print), 1873-2119<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/037843719390076G.<br />
M<strong>and</strong>elbrot:1993:FAS<br />
[Man93b] Benoît B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> an art for the sake <strong>of</strong> science.<br />
In The visual mind, Leonardo Book Ser., pages 11–14. MIT Press,<br />
Cambridge, MA, USA, 1993.<br />
M<strong>and</strong>elbrot:1993:MMM<br />
[Man93c] Benoît B. M<strong>and</strong>elbrot. The Minkowski measure <strong>and</strong> multifractal<br />
anomalies in invariant measures <strong>of</strong> parabolic dynamic systems. In<br />
Chaos in Australia (Sydney, 1990), pages 83–94. World Scientific<br />
Publishing, Singapore; Philadelphia, PA, USA; River Edge, NJ,<br />
USA, 1993.<br />
M<strong>and</strong>elbrot:1993:O<br />
[Man93d] Benoît B. M<strong>and</strong>elbrot. Opinions. Fractals, 1(1):117–123, ????<br />
1993. CODEN FRACEG. ISSN 0218-348X.<br />
M<strong>and</strong>elbrot:1993:OE<br />
[Man93e] Benoît B. M<strong>and</strong>elbrot. Opinions (essay). Symmetry Cult. Sci., 4<br />
(3):319–328, ???? 1993. CODEN ???? ISSN 0865-4824.<br />
M<strong>and</strong>elbrot:1994:I<br />
[Man94] Benoît M<strong>and</strong>elbrot. Introduction. In Fractal l<strong>and</strong>scapes: from<br />
the real world [Hir94], page ?? ISBN 0-948797-24-X (cased), 0-<br />
948797-23-1 (paperback). LCCN TR647.H57 A4 1994. $24.95.<br />
Photographs <strong>by</strong> Bill Hirst with an introduction <strong>by</strong> Benoît M<strong>and</strong>elbrot.
REFERENCES 144<br />
M<strong>and</strong>elbrot:1995:NDH<br />
[Man95a] B. B. M<strong>and</strong>elbrot. Negative dimensions <strong>and</strong> Hölders, multifractals<br />
<strong>and</strong> their Hölder spectra, <strong>and</strong> the role <strong>of</strong> lateral preasymptotics<br />
in science. Journal <strong>of</strong> Fourier Analysis <strong>and</strong> Applications,<br />
Special Issue(??):409–432, ???? 1995. CODEN ???? ISSN 1069-<br />
5869. Proceedings <strong>of</strong> the Conference in Honor <strong>of</strong> Jean-Pierre<br />
Kahane (Orsay, 1993).<br />
M<strong>and</strong>elbrot:1995:CMA<br />
[Man95b] Benoît M<strong>and</strong>elbrot. A class <strong>of</strong> micropulses <strong>and</strong> antipersistent<br />
fractional Brownian motion. Stochastic Processes <strong>and</strong><br />
Their Applications, 60(1):1–18, November 1995. CODEN<br />
STOPB7. ISSN 0304-4149 (print), 1879-209X (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
0304414995000461.<br />
M<strong>and</strong>elbrot:1995:MFI<br />
[Man95c] Benoît M<strong>and</strong>elbrot. Multifractal formalism for infinite multinomial<br />
measures. Advances in Applied Mathematics, 16(2):132–150,<br />
June 1995. CODEN ???? ISSN 0196-8858 (print), 1090-2074<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S019688588571007X.<br />
M<strong>and</strong>elbrot:1995:IFS<br />
[Man95d] Benoît B. M<strong>and</strong>elbrot. Introduction to fractal sums <strong>of</strong> pulses. In<br />
Lévy flights <strong>and</strong> related topics in physics (Nice, 1994), volume<br />
450 <strong>of</strong> Lecture Notes in Physics, pages 110–123. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., 1995. ISSN 0075-8450 (print), 1616-6361 (electronic). URL<br />
http://www.springerlink.com/content/y52438vl6j470635/.<br />
M<strong>and</strong>elbrot:1995:MFL<br />
[Man95e] Benoît B. M<strong>and</strong>elbrot. Measures <strong>of</strong> fractal lacunarity: Minkowski<br />
content <strong>and</strong> alternatives. In Christoph B<strong>and</strong>t et al., editors,<br />
Fractal geometry <strong>and</strong> stochastics. Proceedings <strong>of</strong> a conference on<br />
fractal geometry <strong>and</strong> stochastics held at Finsterbergen, Germany,<br />
June 12–18, 1994, volume 37 <strong>of</strong> Progress in Probability, pages<br />
15–42. Birkhäuser Verlag, Basel, Switzerl<strong>and</strong>, 1995.<br />
M<strong>and</strong>elbrot:1995:PLK<br />
[Man95f] Benoît B. M<strong>and</strong>elbrot. The Paul Lévy I knew. In Lévy flights <strong>and</strong><br />
related topics in physics (Nice, 1994), volume 450 <strong>of</strong> Lecture Notes
REFERENCES 145<br />
in Physics, pages ix–xii. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1995. ISSN 0075-8450<br />
(print), 1616-6361 (electronic).<br />
M<strong>and</strong>elbrot:1996:AMF<br />
[Man96a] Benoît M<strong>and</strong>elbrot. Alternative micropulses <strong>and</strong> fractional Brownian<br />
motion. Stochastic Processes <strong>and</strong> Their Applications, 64<br />
(2):143–152, November 29, 1996. CODEN STOPB7. ISSN<br />
0304-4149 (print), 1879-209X (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0304414996000890.<br />
M<strong>and</strong>elbrot:1996:LRN<br />
[Man96b] Benoît M<strong>and</strong>elbrot. Local regularity <strong>of</strong> nonsmooth wavelet<br />
expansions <strong>and</strong> application to the Pólya function. Advances<br />
in Mathematics, 120(2):265–282, June 25, 1996. CODEN<br />
ADMTA4. ISSN 0001-8708 (print), 1090-2082 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0001870896900390.<br />
M<strong>and</strong>elbrot:1997:IFC<br />
[Man97a] Benoît M<strong>and</strong>elbrot. Inversion formula for continuous multifractals.<br />
Advances in Applied Mathematics, 19(3):332–354, October<br />
1997. CODEN ???? ISSN 0196-8858 (print), 1090-2074<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0196885897905509.<br />
M<strong>and</strong>elbrot:1997:FSF<br />
[Man97b] Benoît B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> scaling in finance. Discontinuity,<br />
concentration, risk. Selecta Volume E. <strong>Selected</strong> Works <strong>of</strong><br />
Benoît B. M<strong>and</strong>elbrot. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1997. ISBN 0-387-98363-<br />
5. x + 551 pp. LCCN HG176.5 .M36 1997. With a foreword <strong>by</strong><br />
R. E. Gomory, <strong>and</strong> contributions <strong>by</strong> P.H. Cootner <strong>and</strong> others.<br />
M<strong>and</strong>elbrot:1997:GFN<br />
[Man97c] Benoît B. M<strong>and</strong>elbrot. La geometría fractal de la naturaleza.<br />
(Spanish) [The Fractal Geometry <strong>of</strong> Nature], volume 49 <strong>of</strong><br />
Metatemas. Tusquets Editores S.A., Barcelona, Spain, 1997.<br />
ISBN 84-8310-549-7. 662 pp. LCCN ???? Translated from the<br />
English <strong>by</strong> Josep Llosa.<br />
M<strong>and</strong>elbrot:1998:P<br />
[Man98a] Benoît M<strong>and</strong>elbrot. Preface. In Dieu joue-t-il aux dés ?: les<br />
nouvelles mathématiques du chaos [Ste98], page ?? ISBN 2-08-
REFERENCES 146<br />
081411-7 (hardcover), 2-08-081302-1 (paperback). LCCN ????<br />
Preface <strong>by</strong> Benoît M<strong>and</strong>elbrot. Translation <strong>by</strong> Marianne Robert<br />
from the English edition. Remarks for the second edition <strong>by</strong> Marcel<br />
Filoche.<br />
M<strong>and</strong>elbrot:1998:NF<br />
[Man98b] Benoît B. M<strong>and</strong>elbrot. Is nature fractal? Science, 279(5352):<br />
783, February 6, 1998. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/279/5352/783.3.full.<br />
M<strong>and</strong>elbrot:1998:OFF<br />
[Man98c] Benoît B. M<strong>and</strong>elbrot. Les objets fractals: Forme, hasard et dimension.<br />
(French) [Fractal objects: form, chance, <strong>and</strong> dimension].<br />
Flammarion, Paris, France, fourth edition, 1998. ISBN<br />
2-08-081301-3. 212 pp. LCCN QA447 .M36.<br />
M<strong>and</strong>elbrot:1999:MWW<br />
[Man99a] Benoît B. M<strong>and</strong>elbrot. A multifractal walk down Wall Street.<br />
Scientific American, 280(2):70–73, February 1999. CODEN<br />
SCAMAC. ISSN 0036-8733 (print), 1946-7087 (electronic).<br />
URL http://www.nature.com/scientificamerican/journal/<br />
v280/n2/pdf/scientificamerican0299-70.pdf.<br />
M<strong>and</strong>elbrot:1999:MNW<br />
[Man99b] Benoît B. M<strong>and</strong>elbrot. Multifractals <strong>and</strong> 1/f noise. Wild selfaffinity<br />
in physics (1963–1976). Selecta Volume N. <strong>Selected</strong><br />
Works <strong>of</strong> Benoît B. M<strong>and</strong>elbrot. Springer-Verlag, Berlin, Germany<br />
/ Heidelberg, Germany / London, UK / etc., 1999. ISBN<br />
0-387-98539-5. viii + 442 pp. LCCN QA614.86 .M27 1999. With<br />
contributions <strong>by</strong> J. M. Berger, J.-P. Kahane <strong>and</strong> J. Peyrière.<br />
M<strong>and</strong>elbrot:1999:RFP<br />
[Man99c] Benoît B. M<strong>and</strong>elbrot. Renormalization <strong>and</strong> fixed points in<br />
finance, since 1962. Physica A, 263(1–4):477–487, February<br />
1, 1999. CODEN PHYADX. ISSN 0378-4371 (print),<br />
1873-2119 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0378437198005202. STATPHYS 20<br />
(Paris, 1998).<br />
M<strong>and</strong>elbrot:1999:SMF<br />
[Man99d] Benoît B. M<strong>and</strong>elbrot. Survey <strong>of</strong> multifractality in finance, volume<br />
1238 <strong>of</strong> Cowles Foundation discussion paper. The Foundation,<br />
New Haven, CT, USA, 1999. ???? pp. LCCN ????
REFERENCES 147<br />
M<strong>and</strong>elbrot:2000:SMQ<br />
[Man00] Benoît B. M<strong>and</strong>elbrot. Some mathematical questions arising in<br />
fractal geometry. In Jean-Paul Pier, editor, Development <strong>of</strong> mathematics<br />
1950–2000, pages 795–811. Birkhäuser Verlag, Basel,<br />
Switzerl<strong>and</strong>, 2000.<br />
M<strong>and</strong>elbrot:2001:LFA<br />
[Man01a] Benoît M<strong>and</strong>elbrot. L’anneau fractal de l’art à l’art à travers la<br />
géométrie, la finance et les sciences [images animées]. (French)<br />
[The fractal ring <strong>of</strong> art to art across geometry, finance, <strong>and</strong> science<br />
[animated images]]. Service du Film de Recherche Scientifique,<br />
Vanves, France, 2001. LCCN ???? One VHS cassette (72<br />
min).<br />
M<strong>and</strong>elbrot:2001:SFPa<br />
[Man01b] Benoît B. M<strong>and</strong>elbrot. Scaling in financial prices. I. Tails <strong>and</strong> dependence.<br />
Quantitative Finance, 1(1):113–123, ???? 2001. CO-<br />
DEN QFUIAV. ISSN 1469-7688 (print), 1469-7696 (electronic).<br />
M<strong>and</strong>elbrot:2001:SFPb<br />
[Man01c] Benoît B. M<strong>and</strong>elbrot. Scaling in financial prices. II. Multifractals<br />
<strong>and</strong> the star equation. Quantitative Finance, 1(1):124–130,<br />
???? 2001. CODEN QFUIAV. ISSN 1469-7688 (print), 1469-7696<br />
(electronic).<br />
M<strong>and</strong>elbrot:2001:SVP<br />
[Man01d] Benoît B. M<strong>and</strong>elbrot. Stochastic volatility, power laws <strong>and</strong> long<br />
memory. comment on: “Stochastic volatility as a simple generator<br />
<strong>of</strong> apparent financial power laws <strong>and</strong> long memory” [Quant. Finance<br />
1 (2001), no. 6, 621–631; 1 870 018] <strong>by</strong> B. LeBaron. Quantitative<br />
Finance, 1(6):558–559, ???? 2001. CODEN QFUIAV.<br />
ISSN 1469-7688 (print), 1469-7696 (electronic).<br />
M<strong>and</strong>elbrot:2001:TFM<br />
[Man01e] Benoît B. M<strong>and</strong>elbrot. Topics on fractals in mathematics <strong>and</strong><br />
physics. In Challenges for the 21st century (Singapore, 2000),<br />
pages 461–478. World Scientific Publishing, Singapore; Philadelphia,<br />
PA, USA; River Edge, NJ, USA, 2001.<br />
M<strong>and</strong>elbrot:2002:FRA<br />
[Man02a] Benoît M<strong>and</strong>elbrot. The fractal ring from art to art through<br />
mathematics, finance, <strong>and</strong> the sciences. In Fractals, graphics,
REFERENCES 148<br />
<strong>and</strong> mathematics education [FM02b], page ?? ISBN 0-88385-169-<br />
5. LCCN QA614.86 .F68424 2002. URL http://www.loc.gov/<br />
catdir/description/cam022/2001097388.html; http://www.<br />
loc.gov/catdir/toc/cam027/2001097388.html. Foreword <strong>by</strong><br />
Lynn Arthur Steen.<br />
M<strong>and</strong>elbrot:2002:MSC<br />
[Man02b] Benoît M<strong>and</strong>elbrot. Mathematics <strong>and</strong> society in the 20th<br />
century. In Fractals, graphics, <strong>and</strong> mathematics education<br />
[FM02b], page ?? ISBN 0-88385-169-5. LCCN<br />
QA614.86 .F68424 2002. URL http://www.loc.gov/catdir/<br />
description/cam022/2001097388.html; http://www.loc.<br />
gov/catdir/toc/cam027/2001097388.html. Foreword <strong>by</strong> Lynn<br />
Arthur Steen.<br />
M<strong>and</strong>elbrot:2002:MAW<br />
[Man02c] Benoît M<strong>and</strong>elbrot. A maverick’s apprenticeship. The Wolf<br />
Prizes for Physics, Imperial College Press, 2002. Web document,<br />
2002. URL http://users.math.yale.edu/~bbm3/web_<br />
pdfs/mavericksApprenticeship.pdf.<br />
M<strong>and</strong>elbrot:2002:GSA<br />
[Man02d] Benoît B. M<strong>and</strong>elbrot. Gaussian self-affinity <strong>and</strong> fractals: Globality,<br />
the earth, 1/f noise, <strong>and</strong> R/S. Selecta (old or new) Volume<br />
H. <strong>Selected</strong> Works <strong>of</strong> Benoît B. M<strong>and</strong>elbrot. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK / etc.,<br />
2002. ISBN 0-387-98993-5. x + 654 pp. LCCN QA614.86 .M24<br />
2001. With contributions <strong>by</strong> F. J. Damerau, M. Frame, K. Mc-<br />
Camy, J. W. Van Ness, J. R. Wallis, <strong>and</strong> others.<br />
M<strong>and</strong>elbrot:2003:HTF<br />
[Man03a] Benoît M<strong>and</strong>elbrot. Heavy tails in finance for independent or multifractal<br />
price increments. In Rachev [Rac03], pages 1–34. ISBN<br />
0-444-50896-1. LCCN ???? URL http://www.sciencedirect.<br />
com/science/article/pii/B9780444508966500030.<br />
M<strong>and</strong>elbrot:2003:MMM<br />
[Man03b] Benoît M<strong>and</strong>elbrot. Multiperiodic multifractal martingale measures.<br />
Journal de Mathématiques Pures et Appliquées, 82<br />
(12):1555–1589, December 2003. CODEN JMPAAM. ISSN<br />
0021-7824 (print), 1776-3371 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0021782403000357.
REFERENCES 149<br />
M<strong>and</strong>elbrot:2003:FSP<br />
[Man03c] Benoît B. M<strong>and</strong>elbrot. Fractal sums <strong>of</strong> pulses <strong>and</strong> a practical<br />
challenge to the distinction between local <strong>and</strong> global dependence.<br />
Processes with Long-Range Correlations, 34(5–6):118–135,<br />
???? 2003. CODEN ???? ISSN ???? URL http://www.<br />
springerlink.com/content/q5377044322486p7/.<br />
M<strong>and</strong>elbrot:2003:MPL<br />
[Man03d] Benoît B. M<strong>and</strong>elbrot. Multifractal power law distributions: negative<br />
<strong>and</strong> critical dimensions <strong>and</strong> other “anomalies,” explained<br />
<strong>by</strong> a simple example. Journal <strong>of</strong> Statistical Physics, 110(3–6):<br />
739–774, ???? 2003. CODEN JSTPSB. ISSN 0022-4715 (print),<br />
1572-9613 (electronic). URL http://www.springerlink.com/<br />
content/j20k474mu4063439/. Special issue in honor <strong>of</strong> Michael<br />
E. Fisher’s 70th birthday (Piscataway, NJ, 2001).<br />
M<strong>and</strong>elbrot:2004:FCM<br />
[Man04a] Benoît B. M<strong>and</strong>elbrot. Fractals <strong>and</strong> chaos: the M<strong>and</strong>elbrot set<br />
<strong>and</strong> beyond. Selecta Volume C. <strong>Selected</strong> Works <strong>of</strong> Benoît B.<br />
M<strong>and</strong>elbrot. Springer-Verlag, Berlin, Germany / Heidelberg, Germany<br />
/ London, UK / etc., 2004. ISBN 0-387-20158-0. xii + 308<br />
pp. LCCN QA614.86 .M23 2004. With a foreword <strong>by</strong> P. W. Jones<br />
<strong>and</strong> texts co-authored <strong>by</strong> C. J. G. Evertsz <strong>and</strong> M. C. Gutzwiller.<br />
M<strong>and</strong>elbrot:2004:STM<br />
[Man04b] Benoît B. M<strong>and</strong>elbrot. <strong>Selected</strong> topics in mathematics, physics,<br />
<strong>and</strong> finance originating in fractal geometry. In Novak [Nov04],<br />
pages 1–33. ISBN 981-238-822-2. LCCN QC20.7.F73 T45 2004.<br />
M<strong>and</strong>elbrot:2005:INF<br />
[Man05a] Benoît B. M<strong>and</strong>elbrot. The inescapable need for fractal tools<br />
in finance. Annals <strong>of</strong> Finance, 1(2):193–195, ???? 2005. CO-<br />
DEN ???? ISSN ???? URL http://www.springerlink.com/<br />
content/7ghf995yeq7k5mtq/.<br />
M<strong>and</strong>elbrot:2005:PCF<br />
[Man05b] Benoît B. M<strong>and</strong>elbrot. Parallel cartoons <strong>of</strong> fractal models <strong>of</strong><br />
finance. Annals <strong>of</strong> Finance, 1(2):179–192, ???? 2005. CO-<br />
DEN ???? ISSN ???? URL http://www.springerlink.com/<br />
content/j5fcgq4kmntgtkum/.
REFERENCES 150<br />
M<strong>and</strong>elbrot:2006:BM<br />
[Man06a] Benoît M<strong>and</strong>elbrot. Benoît M<strong>and</strong>elbrot. New Scientist, 192<br />
(2578):72, November 18, 2006. CODEN NWSCAL. ISSN<br />
0262-4079 (print), 1364-8500 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0262407906611457.<br />
M<strong>and</strong>elbrot:2006:FASa<br />
[Man06b] Benoît M<strong>and</strong>elbrot. Fractal analysis <strong>and</strong> synthesis <strong>of</strong> fracture<br />
surface roughness <strong>and</strong> related forms <strong>of</strong> complexity <strong>and</strong> disorder.<br />
In Carpinteri et al. [CMR06], pages 13–17. ISBN 1-4020-4626-X<br />
(cloth), 1-4020-5423-8 (e-book). LCCN TA409 .I44 2005eb. URL<br />
http://www.springerlink.com/content/up4521397545ruw7/.<br />
M<strong>and</strong>elbrot:2006:FASb<br />
[Man06c] Benoît B. M<strong>and</strong>elbrot. Fractal analysis <strong>and</strong> synthesis <strong>of</strong> fracture<br />
surface roughness <strong>and</strong> related forms <strong>of</strong> complexity <strong>and</strong> disorder.<br />
International Journal <strong>of</strong> Fracture, 138(1–4):13–17, ????<br />
2006. CODEN IJFRAP. ISSN 0376-9429 (print), 1573-2673<br />
(electronic). URL http://www.springerlink.com/content/<br />
p017550250307256/.<br />
M<strong>and</strong>elbrot:2007:SSS<br />
[Man07] Benoît B. M<strong>and</strong>elbrot. Scalebound or scaling shapes: a useful<br />
distinction in the visual arts <strong>and</strong> in the natural sciences. Leonardo<br />
(Oxford, Engl<strong>and</strong>), 40(5):494–496, ???? 2007. CODEN LEONDP.<br />
ISSN 0024-094X (print), 1530-9282 (electronic).<br />
M<strong>and</strong>elbrot:2008:FVD<br />
[Man08] Benoît M<strong>and</strong>elbrot. Fraktale: die verborgene Dimension. (German)<br />
[Fractals: the hidden dimension]. Komplett-Media,<br />
Grünwald, Germany, 2008. ISBN 3-8312-9945-5. LCCN ????<br />
1 video DVD (54 min.). Produced <strong>by</strong> Michael Schwarz.<br />
M<strong>and</strong>elbrot:2009:FHF<br />
[Man09a] Benoît B. M<strong>and</strong>elbrot. Fractales, hasard et finance: 1959–1997.<br />
(French) [Fractals, chance, <strong>and</strong> finance: 1959–1997]. Flammarion,<br />
Paris, France, 2009. 246 pp. LCCN ????<br />
M<strong>and</strong>elbrot:2009:FMG<br />
[Man09b] Benoît B. M<strong>and</strong>elbrot. The fractalist: memoir <strong>of</strong> a geometer.<br />
Pantheon Books, New York, NY, USA, 2009. ISBN 0-307-37735-<br />
0. ???? pp. LCCN QA29.M34 A3 2009.
REFERENCES 151<br />
M<strong>and</strong>elbrot:2009:NMS<br />
[Man09c] Benoît B. M<strong>and</strong>elbrot. “New Methods <strong>of</strong> Statistical Economics,”<br />
revisited: Short versus long tails <strong>and</strong> Gaussian versus power-law<br />
distributions. Complexity, 14(3):55–65, January 2009. CODEN<br />
???? ISSN ????<br />
M<strong>and</strong>elbrot:2010:FFF<br />
[Man10a] Benoît M<strong>and</strong>elbrot. Fractal financial fluctuations. In Lesmoir-<br />
Gordon [LG10b], chapter 7, pages 120–134. CODEN ???? ISBN<br />
1-84996-485-8. ISSN ???? LCCN QA614.86 .C65 2010. URL<br />
http://www.springerlink.com/content/h8w32018354n747q/.<br />
with contributions <strong>by</strong> Ian Stewart, Sir Arthur C. Clarke, Benoît<br />
B. M<strong>and</strong>elbrot, Michael <strong>and</strong> Louisa Barnsley, Will Rood, Gary<br />
Flake, <strong>and</strong> David Pennock.<br />
M<strong>and</strong>elbrot:2010:GAI<br />
[Man10b] Benoît M<strong>and</strong>elbrot. A geometry able to include mountains <strong>and</strong><br />
clouds. In Lesmoir-Gordon [LG10b], chapter 3, pages 38–57.<br />
ISBN 1-84996-485-8. LCCN QA614.86 .C65 2010. URL http:<br />
//www.springerlink.com/content/h535l123uh2t6643/. with<br />
contributions <strong>by</strong> Ian Stewart, Sir Arthur C. Clarke, Benoît B.<br />
M<strong>and</strong>elbrot, Michael <strong>and</strong> Louisa Barnsley, Will Rood, Gary<br />
Flake, <strong>and</strong> David Pennock.<br />
M<strong>and</strong>elbrot:2010:OFF<br />
[Man10c] Benoît B. M<strong>and</strong>elbrot. Les objets fractals: Forme, hasard et dimension.<br />
(French) [Fractal objects: form, chance, <strong>and</strong> dimension].<br />
Flammarion, Paris, France, 2010. ISBN ???? 212 pp.<br />
LCCN ????<br />
M<strong>and</strong>elbrot:2012:BMP<br />
[Man12] Benoît B. M<strong>and</strong>elbrot. Benoît M<strong>and</strong>elbrot papers, 1932–2010,<br />
2012. Circa 380 linear feet.<br />
M<strong>and</strong>elbrot:1975:CLT<br />
[Man76] Benoît B. M<strong>and</strong>elbrot. Corrigendum: “Limit theorems on the<br />
self-normalized range for weakly <strong>and</strong> strongly dependent processes”<br />
(Z. Wahrscheinlichkeitstheorie Verw. Gebiete 31 (1974/<br />
75), 271–285). Zeitschrift für Wahrscheinlichkeitstheorie und verw<strong>and</strong>te<br />
Gebiete, 33(3):220, ???? 1975/76. CODEN ZWVGAA.<br />
ISSN 0044-3719. See [Man75g].
REFERENCES 152<br />
Martinez:1999:UF<br />
[Mar99] Vicent J. Martínez. Is the universe fractal? Science, 284(5413):<br />
445–446, April 16, 1999. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/284/5413/445.full.<br />
Martyn:2004:NAM<br />
[Mar04] Tomek Martyn. A new approach to morphing 2D affine IFS fractals.<br />
Computers <strong>and</strong> Graphics, 28(2):249–272, April 2004. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Martyn:2010:RRI<br />
[Mar10] Tomasz Martyn. Realistic rendering 3D IFS fractals in real-time<br />
with graphics accelerators. Computers <strong>and</strong> Graphics, 34(2):167–<br />
175, April 2010. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0097849309001150.<br />
Maslov:2005:GTS<br />
[Mas05a] V. P. Maslov. On a general theorem <strong>of</strong> set theory that leads to the<br />
Gibbs, Bose–Einstein, <strong>and</strong> Pareto distributions <strong>and</strong> to the Zipf–<br />
M<strong>and</strong>elbrot law for the stock market. Matematicheskie Zametki,<br />
78(6):870–877, ???? 2005. CODEN ???? ISSN 0025-567X.<br />
Maslov:2005:ZML<br />
[Mas05b] V. P. Maslov. The Zipf–M<strong>and</strong>elbrot law: quantization <strong>and</strong> an<br />
application to the stock market. Russian Journal <strong>of</strong> Mathematical<br />
Physics, 12(4):483–488, ????<br />
1061-9208.<br />
2005. CODEN RJMPEL. ISSN<br />
Maslov:2006:RZM<br />
[Mas06] V. P. Maslov. A refinement <strong>of</strong> the Zipf–M<strong>and</strong>elbrot law <strong>and</strong> lacunarity<br />
in an ideal gas. Teoreticheskaya i Matematicheskaya<br />
Fizika, 147(3):511–512, ????<br />
0564-6162.<br />
2006. CODEN TMFZAL. ISSN<br />
M<strong>and</strong>elbrot:1989:FGW<br />
[MB89] B. B. M<strong>and</strong>elbrot <strong>and</strong> A. Blumen. Fractal geometry: What is it,<br />
<strong>and</strong> what does it do? [<strong>and</strong> discussion]. Proceedings <strong>of</strong> the Royal<br />
Society <strong>of</strong> London. Series A, Mathematical <strong>and</strong> physical sciences,<br />
423(1864):3–16, May 8, 1989. CODEN PRLAAZ. ISSN 0080-<br />
4630. URL http://www.jstor.org/stable/2398503. Fractals<br />
in the natural sciences.
REFERENCES 153<br />
McCloskey:1994:TUR<br />
[MB94] John McCloskey <strong>and</strong> C. J. Bean. Temporally unstable recurrence<br />
<strong>of</strong> earthquakes due to breaks in fractal scaling. Science,<br />
266(5184):410–412, October 21, 1994. CODEN SCIEAS. ISSN<br />
0036-8075 (print), 1095-9203 (electronic). URL http://www.<br />
sciencemag.org/content/266/5184/410.full.pdf.<br />
McHardy:1987:FXR<br />
[MC87] Ian McHardy <strong>and</strong> Bozena Czerny. Fractal X-ray time variability<br />
<strong>and</strong> spectral invariance <strong>of</strong> the Seyfert galaxy NGC5506. Nature,<br />
325(6106):696–698, February 19, 1987. CODEN NATUAS. ISSN<br />
0028-0836 (print), 1476-4687 (electronic). URL http://www.<br />
nature.com/nature/journal/v325/n6106/pdf/325696a0.pdf.<br />
Melin:2002:MSC<br />
[MC02] Patricia Melin <strong>and</strong> Oscar Castillo. Modelling, simulation <strong>and</strong><br />
control <strong>of</strong> non-linear dynamical systems: an intelligent approach<br />
using s<strong>of</strong>t computing <strong>and</strong> fractal theory, volume 2 <strong>of</strong> Numerical<br />
insights, 1028-5350. Taylor <strong>and</strong> Francis, London, UK <strong>and</strong> Boca<br />
Raton, FL, USA, 2002. ISBN 0-415-27236-X. xi + 249 pp. LCCN<br />
QA427 .M45 2002.<br />
Melo:2005:EPC<br />
[MdF05] Cesar A. V. Melo <strong>and</strong> Nelson L. S. da Fonseca. Envelope process<br />
<strong>and</strong> computation <strong>of</strong> the equivalent b<strong>and</strong>width <strong>of</strong> multifractal<br />
flows. Computer Networks (Amsterdam, Netherl<strong>and</strong>s: 1999),<br />
48(3):351–375, June 21, 2005. CODEN ???? ISSN 1389-1286<br />
(print), 1872-7069 (electronic).<br />
Molnar:2002:QTA<br />
[MDM02] Sándor Molnár, Trang Dinh Dang, <strong>and</strong> István Maricza. On<br />
the queue tail asymptotics for general multifractal traffic.<br />
Lecture Notes in Computer Science, 2345(??):105–??, ????<br />
2002. CODEN LNCSD9. ISSN 0302-9743 (print), 1611-<br />
3349 (electronic). URL http://link.springer-ny.com/link/<br />
service/series/0558/bibs/2345/23450105.htm; http://<br />
link.springer-ny.com/link/service/series/0558/papers/<br />
2345/23450105.pdf.<br />
M<strong>and</strong>elbrot:1972:HSM<br />
[ME72] A. K. M<strong>and</strong>elbrot <strong>and</strong> K. Erb. Host spectrum <strong>of</strong> the mycoparasite<br />
dimargaris verticillata. Mycologia, 64(5):1124–1129, October
REFERENCES 154<br />
1972. CODEN ???? ISSN ???? URL http://www.jstor.org/<br />
stable/3758077.<br />
M<strong>and</strong>elbrot:1990:PDA<br />
[ME90] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Carl J. G. Evertsz. The potential<br />
distribution around growing fractal clusters. Nature, 348(6297):<br />
143–145, November 8, 1990. CODEN NATUAS. ISSN 0028-0836<br />
(print), 1476-4687 (electronic). URL http://www.nature.com/<br />
nature/journal/v348/n6297/pdf/348143a0.pdf.<br />
M<strong>and</strong>elbrot:1991:MHM<br />
[ME91] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Carl J. G. Evertsz. Multifractality <strong>of</strong><br />
the harmonic measure on fractal aggregates, <strong>and</strong> extended selfsimilarity.<br />
Physica A, 177(1–3):386–393, September 15, 1991. CO-<br />
DEN PHYADX. ISSN 0378-4371 (print), 1873-2119 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
037843719190177E. Current problems in statistical mechanics<br />
(Washington, DC, 1991).<br />
Meakin:1989:WF<br />
[Mea89] Paul Meakin. Work with fractals. Science, 245(4925):1515–<br />
1516, September 29, 1989. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/245/4925/1515.2.full.pdf.<br />
M<strong>and</strong>elbrot:1990:ESS<br />
[MEH90] Benoît B. M<strong>and</strong>elbrot, Carl J. G. Evertsz, <strong>and</strong> Yoshinori<br />
Hayakawa. Exactly self-similar left-sided multifractal measures.<br />
Physical Review A (Atomic, Molecular, <strong>and</strong> Optical Physics),<br />
42:4528–??, 1990. CODEN PLRAAN. ISSN 1050-2947 (print),<br />
1094-1622, 1538-4446, 1538-4519. URL http://link.aps.org/<br />
abstract/PRA/v42/e4528.<br />
Meisel:1992:GMR<br />
[Mei92] L. V. Meisel. Generalized M<strong>and</strong>elbrot rule for fractal sections.<br />
Physical Review A (Atomic, Molecular, <strong>and</strong> Optical Physics),<br />
45:654–??, 1992. CODEN PLRAAN. ISSN 1050-2947 (print),<br />
1094-1622, 1538-4446, 1538-4519. URL http://link.aps.org/<br />
abstract/PRA/v45/e654.<br />
Metzler:1994:MQM<br />
[Met94] Wolfgang Metzler. The “mystery” <strong>of</strong> the quadratic M<strong>and</strong>elbrot<br />
set. American Journal <strong>of</strong> Physics, 62:813–??, 1994. CODEN
REFERENCES 155<br />
AJPIAS. ISSN 0002-9505. URL http://link.aip.org/link/<br />
ajpias/v62/i9/p813/s1.<br />
M<strong>and</strong>elbrot:1999:CSP<br />
[MF99] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Michael Frame. The canopy <strong>and</strong><br />
shortest path in a self-contacting fractal tree. The Mathematical<br />
Intelligencer, 21(2):18–27, June 1999. CODEN MAINDC.<br />
ISSN 0343-6993 (print), 1866-7414 (electronic). URL http://<br />
www.springerlink.com/content/136523377672365p/.<br />
M<strong>and</strong>elbrot:2002:SRE<br />
[MF02] Benoît M<strong>and</strong>elbrot <strong>and</strong> Michael Frame. Some reasons for the<br />
effectiveness <strong>of</strong> fractals in mathematics education. In Fractals,<br />
graphics, <strong>and</strong> mathematics education [FM02b], page ?? ISBN 0-<br />
88385-169-5. LCCN QA614.86 .F68424 2002. URL http://www.<br />
loc.gov/catdir/description/cam022/2001097388.html; http:<br />
//www.loc.gov/catdir/toc/cam027/2001097388.html. Foreword<br />
<strong>by</strong> Lynn Arthur Steen.<br />
M<strong>and</strong>elbrot:2003:F<br />
[MF03] Benoît M<strong>and</strong>elbrot <strong>and</strong> Michael Frame. Fractals. In Robert A.<br />
Meyers, editor, Encyclopedia <strong>of</strong> Physical Science <strong>and</strong> Technology<br />
(Third Edition), pages 185–207. Elsevier Science Publishers<br />
B.V., Amsterdam, The Netherl<strong>and</strong>s, 2003. ISBN 0-12-227410-5.<br />
LCCN ???? URL http://www.sciencedirect.com/science/<br />
article/pii/B0122274105002593.<br />
M<strong>and</strong>elbrot:2009:PNT<br />
[MF09] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Michael Frame. A primer <strong>of</strong> negative<br />
test dimensions <strong>and</strong> degrees <strong>of</strong> emptiness for latent sets. Fractals,<br />
17(1):1–14, ???? 2009. CODEN FRACEG. ISSN 0218-348X.<br />
McGregor:1996:FFC<br />
[MFCM96] D. R. McGregor, R. J. Fryer, P. Cockshott, <strong>and</strong> P. Murray. Faster<br />
fractal compression. Dr. Dobb’s Journal <strong>of</strong> S<strong>of</strong>tware Tools, 21(1):<br />
34, 36, 38–40, January 1996.<br />
789X.<br />
CODEN DDJOEB. ISSN 1044-<br />
M<strong>and</strong>elbrot:1984:PPN<br />
[MG84] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> James A. Given. Physical properties<br />
<strong>of</strong> a new fractal model <strong>of</strong> percolation clusters. Physical Review<br />
Letters, 52:1853–??, 1984. CODEN PRLTAO. ISSN 0031-9007
REFERENCES 156<br />
(print), 1079-7114 (electronic), 1092-0145. URL http://link.<br />
aps.org/abstract/PRL/v52/e1853.<br />
M<strong>and</strong>elbrot:1998:FSF<br />
[MG98] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Nigel Goldenfeld. Fractals <strong>and</strong> scaling<br />
in finance: Discontinuity, concentration, risk. Physics Today,<br />
51(8):59–??, August 1998. CODEN PHTOAD. ISSN 0031-<br />
9228 (print), 1945-0699 (electronic). URL http://link.aip.<br />
org/link/phtoad/v51/i8/p59/s1.<br />
M<strong>and</strong>elbrot:1985:FTT<br />
[MGAP85] Benoît B. M<strong>and</strong>elbrot, Yuval Gefen, Amnon Aharony, <strong>and</strong><br />
Jacques Peyrière. Fractals, their transfer matrices <strong>and</strong> their<br />
eigendimensional sequences. Journal <strong>of</strong> Physics A (Mathematical<br />
<strong>and</strong> General), 18(2):335–354, ???? 1985. CODEN JPHAC5.<br />
ISSN 0305-4470 (print), 1361-6447 (electronic). URL http://<br />
stacks.iop.org/0305-4470/18/335.<br />
McFarlane:1994:ODR<br />
[MH94] I. McFarlane <strong>and</strong> S. G. Hoggar. Optimal drivers for the<br />
‘r<strong>and</strong>om’ iteration algorithm. The Computer Journal, 37(7):<br />
629–640, ???? 1994. CODEN CMPJA6. ISSN 0010-4620<br />
(print), 1460-2067 (electronic). URL http://www3.oup.co.<br />
uk/computer_journal/Volume_37/Issue_07/Vol37_07.body.<br />
html#AbstractMcFarlane.<br />
M<strong>and</strong>elbrot:2004:MBM<br />
[MH04a] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Hudson. The (mis)behavior<br />
<strong>of</strong> markets: a fractal view <strong>of</strong> risk, ruin, <strong>and</strong> reward. Basic<br />
Books, New York, NY, USA, 2004. ISBN 0-465-04355-0, 0-465-<br />
04357-7 (paperback). xxiv + 328 pp. LCCN HG4523 .M257<br />
2004. URL http://www.loc.gov/catdir/enhancements/<br />
fy0830/2004011400-b.html; http://www.loc.gov/catdir/<br />
enhancements/fy0830/2004011400-d.html. A fractal view <strong>of</strong><br />
risk, ruin, <strong>and</strong> reward.<br />
M<strong>and</strong>elbrot:2004:MMF<br />
[MH04b] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Hudson. The misbehaviour<br />
<strong>of</strong> markets: a fractal view <strong>of</strong> risk, ruin <strong>and</strong> reward. Pr<strong>of</strong>ile, London,<br />
UK, 2004. ISBN 1-86197-765-4 (hardcover). xxiv + 328 pp.<br />
LCCN ???? $18.99.
REFERENCES 157<br />
M<strong>and</strong>elbrot:2005:FFM<br />
[MH05a] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Hudson. Fraktale und Finanzen.<br />
Märkte zwischen Risiko, Rendite und Ruin. (German)<br />
[Fractals <strong>and</strong> finance. Markets between risk, reward <strong>and</strong> ruin].<br />
Piper, München, Germany, 2005. ISBN 3-492-04632-0. LCCN<br />
???? Translation <strong>by</strong> Helmut Reuter <strong>of</strong> [MH04a].<br />
M<strong>and</strong>elbrot:2005:MBM<br />
[MH05b] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Hudson. The (mis)behaviour<br />
<strong>of</strong> markets: a fractal view <strong>of</strong> risk, ruin, <strong>and</strong> reward. Pr<strong>of</strong>ile Books,<br />
London, UK, 2005. ISBN 1-86197-790-5. xxiv + 328 pp. LCCN<br />
HG4523.<br />
M<strong>and</strong>elbrot:2005:AFM<br />
[MH05c] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard. L. Hudson. Une approche<br />
fractale des marchés: risquer, perdre et gagner. (French) [A fractal<br />
approach to markets: risk, ruin, <strong>and</strong> reward]. O. Jacob, Paris,<br />
France, 2005. ISBN 2-7381-1536-5 (paperback). 361 pp. LCCN<br />
???? Translated <strong>by</strong> Marcel Filoche from the American edition<br />
[MH04a].<br />
M<strong>and</strong>elbrot:2008:MBM<br />
[MH08a] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Hudson. The (Mis)Behaviour<br />
<strong>of</strong> Markets: a Fractal View <strong>of</strong> Risk, Ruin <strong>and</strong> Reward. Pr<strong>of</strong>ile,<br />
London, UK, 2008. ISBN 1-84668-262-2, 1-84765-155-<br />
0. 353 pp. LCCN HG4523 .M257 2008. URL http:/<br />
/www.gbv.eblib.com/patron/FullRecord.aspx?p=584650;<br />
http://www.loc.gov/catdir/toc/fy0905/2009437381.html.<br />
M<strong>and</strong>elbrot:2008:FFM<br />
[MH08b] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard L. Author Hudson. Fraktale<br />
und Finanzen: Märkte zwischen Risiko, Rendite und Ruin.<br />
(German) [Fractals <strong>and</strong> finance. Markets between risk, reward<br />
<strong>and</strong> ruin], volume 4861 <strong>of</strong> Serie Piper. Piper, München, Germany,<br />
second edition, 2008. ISBN 3-492-24861-6. 445 pp. LCCN<br />
???? EUR 12.95 (DE). URL http://www.gbv.de/dms/zbw/<br />
511599846.pdf.<br />
M<strong>and</strong>elbrot:2009:AFM<br />
[MH09] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Richard. L. Hudson. Une approche<br />
fractale des marchés: risquer, perdre et gagner. (French) [A fractal<br />
approach to markets: risk, ruin, <strong>and</strong> reward]. O. Jacob, Paris,
REFERENCES 158<br />
France, new edition, 2009. v + 361 pp. LCCN ???? Translated<br />
<strong>by</strong> Marcel Filoche from the American edition [MH04a].<br />
Miller:1986:DRT<br />
[Mil86] Gavin S. P. Miller. The definition <strong>and</strong> rendering <strong>of</strong> terrain<br />
maps. Computer Graphics, 20(4):39–48, August 1986. CODEN<br />
CGRADI, CPGPBZ. ISSN 0097-8930. URL http://www.acm.<br />
org:80/pubs/citations/proceedings/graph/15922/p39-miller/<br />
.<br />
Milne:1988:MFG<br />
[Mil88] Bruce T. Milne. Measuring the fractal geometry <strong>of</strong> l<strong>and</strong>scapes.<br />
Applied Mathematics <strong>and</strong> Computation, 27(1):67–79, ???? 1988.<br />
CODEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
Mirowski:1990:MCE<br />
[Mir90] Philip Mirowski. From M<strong>and</strong>elbrot to chaos in economic theory.<br />
Southern Economic Journal, 57(2):289–307, October 1990.<br />
CODEN ???? ISSN ???? URL http://www.jstor.org/stable/<br />
1060611.<br />
Mirowski:2001:RBS<br />
[Mir01] Philip E. Mirowski. Review: Fractals <strong>and</strong> Scaling in Finance:<br />
Discontinuity, Concentration, Risk <strong>by</strong> Benoît B. M<strong>and</strong>elbrot.<br />
Journal <strong>of</strong> Economic Literature, 39(2):585–587, June 2001. CO-<br />
DEN JECLB3. ISSN 0022-0515 (print), 1547-1101 (electronic).<br />
URL http://www.jstor.org/stable/2698262.<br />
Mitzenmacher:2003:BHG<br />
[Mit03] Michael Mitzenmacher. A brief history <strong>of</strong> generative models<br />
for power law <strong>and</strong> lognormal distributions. Internet Mathematics,<br />
1(2):226–251, December 2003. CODEN ???? ISSN<br />
1542-7951 (print), 1944-9488 (electronic). URL http://<br />
projecteuclid.org/euclid.im/1089229510; http://www.<br />
eecs.harvard.edu/~michaelm/CS223/powerlaw.pdf;<br />
//www.t<strong>and</strong>fonline.com/toc/uinm20/1/2.<br />
http:<br />
Miyata:1990:MGS<br />
[Miy90] Kazunori Miyata. A method <strong>of</strong> generating stone wall patterns.<br />
Computer Graphics, 24(4):387–394, August 1990. CODEN<br />
CGRADI, CPGPBZ. ISSN 0097-8930. URL http://www.acm.<br />
org:80/pubs/citations/proceedings/graph/97879/p387-miyata/<br />
.
REFERENCES 159<br />
MacDonald:1986:FFD<br />
[MJ86] Mairi MacDonald <strong>and</strong> Naeem Jan. Fractons <strong>and</strong> the fractal<br />
dimension <strong>of</strong> proteins. Canadian Journal <strong>of</strong> Physics =<br />
Journal canadien de physique, 64(10):1353–1355, 1986. CO-<br />
DEN CJPHAD. ISSN 0008-4204 (print), 1208-6045 (electronic).<br />
URL http://www.nrcresearchpress.com/doi/abs/<br />
10.1139/p86-239.<br />
M<strong>and</strong>elbrot:1997:PPM<br />
[MJ97] B. B. M<strong>and</strong>elbrot <strong>and</strong> Stéphane Jaffard. Peano–Pólya motions,<br />
when time is intrinsic or binomial (uniform or multifractal).<br />
The Mathematical Intelligencer, 19(4):21–26, December<br />
1997. CODEN MAINDC. ISSN 0343-6993 (print), 1866-7414<br />
(electronic). URL http://www.springerlink.com/content/<br />
9120830561261547/.<br />
M<strong>and</strong>elbrot:2002:AGR<br />
[MKA02] Benoît B. M<strong>and</strong>elbrot, Boaz Kol, <strong>and</strong> Amnon Aharony. Angular<br />
gaps in radial diffusion-limited aggregation: Two fractal dimensions<br />
<strong>and</strong> nontransient deviations from linear self-similarity.<br />
Physical Review Letters, 88:055501–??, 2002. CODEN PRLTAO.<br />
ISSN 0031-9007 (print), 1079-7114 (electronic), 1092-0145. URL<br />
http://link.aps.org/abstract/PRL/v88/e055501.<br />
Musgrave:1989:SRE<br />
[MKM89] F. Kenton Musgrave, Craig E. Kolb, <strong>and</strong> Robert S. Mace.<br />
The synthesis <strong>and</strong> rendering <strong>of</strong> eroded fractal terrains. Computer<br />
Graphics, 23(3):41–50, July 1989. CODEN CGRADI,<br />
CPGPBZ. ISSN 0097-8930. URL http://www.acm.org:80/<br />
pubs/citations/proceedings/graph/74333/p41-musgrave/.<br />
Morse:1985:FDV<br />
[MLDW85] D. R. Morse, J. H. Lawton, M. M. Dodson, <strong>and</strong> M. H. Williamson.<br />
Fractal dimension <strong>of</strong> vegetation <strong>and</strong> the distribution <strong>of</strong> arthropod<br />
body lengths. Nature, 314(6013):731–733, April 25, 1985.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v314/<br />
n6013/pdf/314731a0.pdf.<br />
M<strong>and</strong>elbrot:1970:SPM<br />
[MM70] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Keith McCamy. On the secular pole<br />
motion <strong>and</strong> the Ch<strong>and</strong>ler wobble. Geophysical Journal <strong>of</strong> the
REFERENCES 160<br />
Royal Astronomical Society, 21(2):217–232, November 1970. CO-<br />
DEN GEOJAN. ISSN 0956-540X (print), 1365-246X (electronic).<br />
Musgrave:1989:NEM<br />
[MM89] F. Kenton Musgrave <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Natura ex<br />
machina. IEEE Computer Graphics <strong>and</strong> Applications, 9(1):4–<br />
7, January 1989. CODEN ICGADZ. ISSN 0272-1716 (print),<br />
1558-1756 (electronic).<br />
Musgrave:1991:AFL<br />
[MM91] F. K. Musgrave <strong>and</strong> B. B. M<strong>and</strong>elbrot. The art <strong>of</strong> fractal l<strong>and</strong>scapes.<br />
IBM Journal <strong>of</strong> Research <strong>and</strong> Development, 35(4):535–<br />
536, 539, July 1991. CODEN IBMJAE. ISSN 0018-8646 (print),<br />
2151-8556 (electronic).<br />
McIntyre-Mills:2008:MBM<br />
[MM08] Janet J. McIntyre-Mills. Möbius b<strong>and</strong>s <strong>and</strong> M<strong>and</strong>elbrot sets as<br />
metaphors for systemic praxis. Systems Research <strong>and</strong> Behavioral<br />
Science, 25(2):323–329, March 2008. CODEN ???? ISSN ????<br />
McNally:2010:FGN<br />
[MM10] James G. McNally <strong>and</strong> Davide Mazza. Fractal geometry in<br />
the nucleus. The EMBO Journal, 29(1):2–3, January 6, 2010.<br />
CODEN EMJODG. ISSN 0261-4189 (print), 1460-2075 (electronic).<br />
URL http://www.nature.com/emboj/journal/v29/<br />
n1/full/emboj2009375a.html.<br />
Morcrette:1996:EDF<br />
[Mor96] Michelle Morcrette. Sur l’équivalence de descriptions de figures<br />
iterées. (French) [On the equivalence <strong>of</strong> descriptions <strong>of</strong><br />
iterative figures]. Theoretical Computer Science, 165(2):325–<br />
354, October 10, 1996. CODEN TCSCDI. ISSN 0304-3975<br />
(print), 1879-2294 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.<br />
cgi?year=1996&volume=165&issue=2&aid=2167.<br />
M<strong>and</strong>elbrot:1984:FAM<br />
[MP84] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Dann E. Passoja, editors. Fractal<br />
aspects <strong>of</strong> materials: metal <strong>and</strong> catalyst surfaces, powders <strong>and</strong><br />
aggregates: extended abstracts, volume EA–4 <strong>of</strong> Materials Research<br />
Society extended abstracts. Materials Research Society,<br />
Pittsburgh, PA, USA, 1984. LCCN QA447 .F72 1984.
REFERENCES 161<br />
M<strong>and</strong>elbrot:1998:NFI<br />
[MPB + 98] Benoît B. M<strong>and</strong>elbrot, Peter Pfeifer, Ofer Biham, Ofer Malcai,<br />
Daniel A. Lidar, <strong>and</strong> David Avnir. Is nature fractal? Science,<br />
279(5352):783, 785–786, February 6, 1998. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.jstor.org/stable/2894997.<br />
M<strong>and</strong>elbrot:1984:FCF<br />
[MPP84] Benoît B. M<strong>and</strong>elbrot, Dann. E. Passoja, <strong>and</strong> Alvin J. Paullay.<br />
Fractal character <strong>of</strong> fracture surfaces <strong>of</strong> metals. Nature, 308<br />
(5961):721–722, April 19, 1984. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v308/n5961/pdf/308721a0.pdf.<br />
M<strong>and</strong>elbrot:1997:IMI<br />
[MR97] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Rudolf H. Riedi. Inverse measures,<br />
the inversion formula, <strong>and</strong> discontinuous multifractals. Advances<br />
in Applied Mathematics, 18(1):50–58, January 1997. CO-<br />
DEN ???? ISSN 0196-8858 (print), 1090-2074 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S019688589690500X.<br />
M<strong>and</strong>elbrot:1994:ACT<br />
[MS94] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Dietrich Stauffer. Antipodal correlations<br />
<strong>and</strong> the texture (fractal lacunarity) in critical percolation<br />
clusters. Journal <strong>of</strong> Physics A (Mathematical <strong>and</strong> General), 27<br />
(9):L237–L242, ???? 1994. CODEN JPHAC5. ISSN 0305-4470<br />
(print), 1361-6447 (electronic). URL http://stacks.iop.org/<br />
0305-4470/27/L237.<br />
M<strong>and</strong>elbrot:2000:CS<br />
[MSLG00] Benoît B. M<strong>and</strong>elbrot, Martin Shaw, <strong>and</strong> Nigel Lesmoir-Gordon.<br />
Clouds are not spheres. Gordon Films, Inc., ????, 2000. ISBN ????<br />
LCCN ???? Video recording. Written <strong>by</strong> Nigel Lesmoir-Gordon,<br />
John Tate, Bill Rood. Produced <strong>and</strong> directed <strong>by</strong> Nigel Lesmoir-<br />
Gordon. Cameraman: Jo Zafar. Editor: Gabriel Lesmoir-Gordon.<br />
Music: James Watson <strong>and</strong> Charles Wuorinen.<br />
Ma:2008:PLS<br />
[MSW08] D. Ma, A. D. Stoica, <strong>and</strong> X.-L. Wang. Power-law scaling <strong>and</strong><br />
fractal nature <strong>of</strong> medium-range order in metallic glasses. Nature<br />
Materials, 8(1):30–34, December 7, 2008. CODEN NMAACR.
REFERENCES 162<br />
ISSN 1476-1122 (print), 1476-4660 (electronic). URL http://<br />
www.nature.com/nmat/journal/v8/n1/full/nmat2340.html.<br />
M<strong>and</strong>elbrot:1967:DSP<br />
[MT67] Benoît M<strong>and</strong>elbrot <strong>and</strong> Howard M. Taylor. On the distribution<br />
<strong>of</strong> stock price differences. Operations Research, 15(6):1057–1062,<br />
December 1967. CODEN OPREAI. ISSN 0030-364X (print),<br />
1526-5463 (electronic).<br />
168611.<br />
URL http://www.jstor.org/stable/<br />
M<strong>and</strong>elbrot:1979:RAL<br />
[MT79] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Murad S. Taqqu. Robust R/S analysis<br />
<strong>of</strong> long-run serial correlation. Bull. Inst. Internat. Statist., 48(2):<br />
69–99, ???? 1979. CODEN BISQA3. ISSN ???? Proceedings <strong>of</strong><br />
the 42nd session <strong>of</strong> the International Statistical Institute, Vol. 2<br />
(Manila, 1979).<br />
M<strong>and</strong>elbrot:2010:MVW<br />
[MT10] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Nassim Nicholas Taleb. Mild vs. wild<br />
r<strong>and</strong>omness: focusing on those risks that matter. In Diebold et al.<br />
[DDH10], pages 47–58. ISBN 0-691-12883-9 (hardcover). LCCN<br />
????<br />
Mudge:2002:RBM<br />
[Mud02] Michael R. Mudge. Review: The M<strong>and</strong>elbrot Set, Theme <strong>and</strong><br />
Variations <strong>by</strong> Tan Lei. Mathematical Gazette, 86(505):185, March<br />
2002. CODEN MAGAAS. ISSN 0025-5572. URL http://www.<br />
jstor.org/stable/3621636.<br />
Murphy:1993:PFH<br />
[Mur93] Nancey Murphy. Philosophical fractals: Or, history as metaphilosophy.<br />
Studies in History <strong>and</strong> Philosophy <strong>of</strong> Science Part<br />
A, 24(3):501–508, August 1993. CODEN SHPSB5. ISSN<br />
0039-3681 (print), 1879-2510 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/003936819390041H.<br />
M<strong>and</strong>elbrot:1968:FBM<br />
[MV68] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> John W. Van Ness. Fractional Brownian<br />
motions, fractional noises <strong>and</strong> applications. SIAM Review, 10<br />
(4):422–437, October 1968. CODEN SIREAD. ISSN 0036-1445<br />
(print), 1095-7200 (electronic). URL http://link.aip.org/<br />
link/siread/v10/i4/p422/s1; http://www.jstor.org/stable/<br />
2027184.
REFERENCES 163<br />
M<strong>and</strong>elbrot:1989:DRM<br />
[MV89] Benoît B. M<strong>and</strong>elbrot <strong>and</strong> Tamás Vicsek. Directed recursive models<br />
for fractal growth. Journal <strong>of</strong> Physics A (Mathematical <strong>and</strong><br />
General), 22(9):L377–L383, ???? 1989. CODEN JPHAC5. ISSN<br />
0305-4470 (print), 1361-6447 (electronic). URL http://stacks.<br />
iop.org/0305-4470/22/L377.<br />
Meson:2002:KLG<br />
[MV02] Alej<strong>and</strong>ro M. Mesón <strong>and</strong> Fern<strong>and</strong>o Vericat. On the Kolmogorovlike<br />
generalization <strong>of</strong> Tsallis entropy, correlation entropies <strong>and</strong><br />
multifractal analysis. Journal <strong>of</strong> Mathematical Physics, 43(2):<br />
904–917, February 2002. CODEN JMAPAQ. ISSN 0022-2488<br />
(print), 1089-7658 (electronic), 1527-2427.<br />
M<strong>and</strong>elbrot:1968:NJO<br />
[MW68] Benoît M<strong>and</strong>elbrot <strong>and</strong> J. R. Wallis. Noah, Joseph <strong>and</strong> operational<br />
hydrology. Water Resources Research, 4(??):909–918, ????<br />
1968. CODEN WRERAQ. ISSN 0043-1397 (print), 1944-7973<br />
(electronic).<br />
M<strong>and</strong>elbrot:1969:SLR<br />
[MW69a] B. B. M<strong>and</strong>elbrot <strong>and</strong> J. R. Wallis. Some long-run properties <strong>of</strong><br />
geophysical records. Water Resources Research, 5(??):321–340,<br />
???? 1969. CODEN WRERAQ. ISSN 0043-1397 (print), 1944-<br />
7973 (electronic).<br />
M<strong>and</strong>elbrot:1969:CEF<br />
[MW69b] Benoît M<strong>and</strong>elbrot <strong>and</strong> J. R. Wallis. Computer experiments with<br />
fractional Gaussian noises. Water Resources Research, 5(??):228–<br />
??, ???? 1969. CODEN WRERAQ. ISSN 0043-1397 (print),<br />
1944-7973 (electronic).<br />
M<strong>and</strong>elbrot:1969:RRR<br />
[MW69c] Benoît M<strong>and</strong>elbrot <strong>and</strong> J. R. Wallis. Robustness <strong>of</strong> the rescaled<br />
range R/S in the measurement <strong>of</strong> noncyclic long run statistical<br />
dependence. Water Resources Research, 5(??):967–988, ????<br />
1969. CODEN WRERAQ. ISSN 0043-1397 (print), 1944-7973<br />
(electronic).<br />
Narayaninsamy:2007:MCI<br />
[Nar07] T. Narayaninsamy. A method to construct irregular fractal<br />
curves. Applied Mathematics <strong>and</strong> Computation, 192(1):260–273,
REFERENCES 164<br />
September 1, 2007. CODEN AMHCBQ. ISSN 0096-3003 (print),<br />
1873-5649 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0096300307002925.<br />
Nathan:1991:RBC<br />
[Nat91] Kathirgama Nathan. Review: Fractals for the Classroom. Part<br />
One: Introduction to Fractals <strong>and</strong> Chaos <strong>by</strong> H. O. Peitgen, H.<br />
Jürgens, D. Saupe; Fractals for the Classroom. Part Two: Complex<br />
Systems <strong>and</strong> M<strong>and</strong>elbrot Set <strong>by</strong> H. O. Peitgen, H. Jürgens, D.<br />
Saupe. College Mathematics Journal, 22(5):455–456, November<br />
1991. CODEN ???? ISSN 0746-8342 (print), 1931-1346 (electronic).<br />
URL http://www.jstor.org/stable/2686611.<br />
Nguyen:2004:HPF<br />
[NCS04] Hung Phi Nguyen, Bastien Chopard, <strong>and</strong> Serge Stoll. Hydrodynamic<br />
properties <strong>of</strong> fractal aggregates in 2D using Lattice Boltzmann<br />
simulation. Future Generation Computer Systems, 20(6):<br />
981–991, August 2004. CODEN FGSEVI. ISSN 0167-739X<br />
(print), 1872-7115 (electronic).<br />
Nittmann:1985:FGV<br />
[NDS85] Johann Nittmann, Gérard Daccord, <strong>and</strong> H. Eugene Stanley. Fractal<br />
growth viscous fingers: quantitative characterization <strong>of</strong> a fluid<br />
instability phenomenon. Nature, 314(6007):141–144, March 14,<br />
1985. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v314/n6007/pdf/314141a0.pdf.<br />
Nakano:2001:TON<br />
[NFT + 01] M. Nakano, H. Fujita, M. Takahata, S. Kiribayashi, <strong>and</strong> K. Yamaguchi.<br />
Third-order nonlinear optical properties <strong>of</strong> dendritic<br />
molecular aggregates: Effects <strong>of</strong> fractal architecture. International<br />
Journal <strong>of</strong> Quantum Chemistry, 84(6):649–659, ???? 2001.<br />
CODEN IJQCB2. ISSN 0020-7608 (print), 1097-461X (electronic).<br />
URL http://www3.interscience.wiley.com/cgibin/abstract/85008257/START;<br />
http://www3.interscience.<br />
wiley.com/cgi-bin/fulltext/85008257/FILE?TPL=ftx_start;<br />
http://www3.interscience.wiley.com/cgi-bin/fulltext?<br />
ID=85008257&PLACEBO=IE.pdf.<br />
Nettleton:1995:EF<br />
[NG95] David John Nettleton <strong>and</strong> Roberto Garigliano. Evolving fractals.<br />
Computers <strong>and</strong> Graphics, 19(5):779–782, September–
REFERENCES 165<br />
October 1995. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic). URL http://www.elsevier.com/<br />
cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?<br />
year=1995&volume=19&issue=5&aid=9500058.<br />
Nikiel:2003:GVE<br />
[NG03] Slawek Nikiel <strong>and</strong> Adam Goinski. Generation <strong>of</strong> volumetric escape<br />
time fractals. Computers <strong>and</strong> Graphics, 27(6):977–982, December<br />
2003. CODEN COGRD2. ISSN 0097-8493 (print), 1873-<br />
7684 (electronic).<br />
Naschitz:2003:ACRa<br />
[NIS + 03a] J. E. Naschitz, R. Itzhak, N. Shaviv, I. Khorshidi, S. Sundick,<br />
H. Isser<strong>of</strong>f, M. Fields, R. M. Priselac, D. Yeshurun, E. Sabo,<br />
et al. Assessment <strong>of</strong> cardiovascular reactivity <strong>by</strong> fractal <strong>and</strong> recurrence<br />
quantification analysis <strong>of</strong> heart rate <strong>and</strong> pulse transit<br />
time. Journal <strong>of</strong> Human Hypertension, 17(2):111–118, February<br />
4, 2003. CODEN ???? ISSN ???? URL http://www.nature.<br />
com/jhh/journal/v17/n2/full/1001517a.html.<br />
Naschitz:2003:ACRb<br />
[NIS + 03b] J. E. Naschitz, R. Itzhak, N. Shaviv, I. Khorshidi, S. Sundick,<br />
H. Isser<strong>of</strong>f, M. Fields, R. M. Priselac, D. Yeshurun, E. Sabo,<br />
et al. Assessment <strong>of</strong> cardiovascular reactivity <strong>by</strong> fractal <strong>and</strong> recurrence<br />
quantification analysis <strong>of</strong> heart rate <strong>and</strong> pulse transit<br />
time. Journal <strong>of</strong> Human Hypertension, 17(8):585, July 22, 2003.<br />
CODEN ???? ISSN ???? URL http://www.nature.com/jhh/<br />
journal/v17/n8/full/1001615a.html.<br />
Navarro:2009:UFD<br />
[NM09] Juan F. Navarro <strong>and</strong> M. C. Martínez. Universality <strong>of</strong> fractal<br />
dimension on time-independent Hamiltonian systems. Applied<br />
Mathematics <strong>and</strong> Computation, 214(2):462–467, August 15,<br />
2009. CODEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0096300309003415.<br />
Norton:1982:GDG<br />
[Nor82] A. Norton. Generation <strong>and</strong> display <strong>of</strong> geometric fractals in 3-D.<br />
Computer Graphics, 16(3):61–67, July 1982. CODEN CGRADI,<br />
CPGPBZ. ISSN 0097-8930.
REFERENCES 166<br />
Novak:2004:TPF<br />
[Nov04] M. M. (Miros�lav Micha�l) Novak, editor. Thinking in patterns:<br />
fractals <strong>and</strong> related phenomena in nature. World Scientific Publishing,<br />
Singapore; Philadelphia, PA, USA; River Edge, NJ, USA,<br />
2004. ISBN 981-238-822-2. LCCN QC20.7.F73 T45 2004.<br />
Nehlig:1995:FQA<br />
[NR95] P. W. Nehlig <strong>and</strong> J.-P. Reveilles. Fractals <strong>and</strong> quasi-affine transformations.<br />
Computer Graphics Forum, 14(2):147–158 (or 147–<br />
157??), June 1995. CODEN CGFODY. ISSN 0167-7055 (print),<br />
1467-8659 (electronic).<br />
Newkome:2006:NFP<br />
[NWM + 06] George R. Newkome, Pingshan Wang, Charles N. Moorefield,<br />
Tae Joon Cho, Prabhu P. Mohapatra, Sinan Li, Seok-Ho Hwang,<br />
Olena Lukoyanova, Luis Echegoyen, Judith A. Palagallo, Violeta<br />
Iancu, <strong>and</strong> Saw-Wai Hla. Nanoassembly <strong>of</strong> a fractal polymer:<br />
A molecular ‘Sierpinski Hexagonal Gasket’. Science, 312(5781):<br />
1782–1785, June 23, 2006. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/312/5781/1782.full.pdf.<br />
Nakayama:1994:DPF<br />
[NYO94] Tsuneyoshi Nakayama, Kousuke Yakubo, <strong>and</strong> Raymond L. Orbach.<br />
Dynamical properties <strong>of</strong> fractal networks: Scaling, numerical<br />
simulations, <strong>and</strong> physical realizations. Reviews <strong>of</strong> Modern<br />
Physics, 66(2):381–443, April 1994. CODEN RMPHAT. ISSN<br />
0034-6861 (print), 1538-4527 (electronic), 1539-0756. URL http:<br />
//link.aps.org/doi/10.1103/RevModPhys.66.381; http:<br />
//rmp.aps.org/abstract/RMP/v66/i2/p381_1.<br />
Ortega:2003:GED<br />
[ODA03] A. Ortega, A. A. Dalhoum, <strong>and</strong> M. Alfonseca. Grammatical<br />
evolution to design fractal curves with a given dimension.<br />
IBM Journal <strong>of</strong> Research <strong>and</strong> Development, 47(4):483–493, ????<br />
2003. CODEN IBMJAE. ISSN 0018-8646 (print), 2151-8556<br />
(electronic). URL http://www.research.ibm.com/journal/<br />
rd/474/ortega.pdf.<br />
Ortega:2002:CGP<br />
[OdlCA02] Alfonso Ortega, Marina de la Cruz, <strong>and</strong> Manuel Alfonseca. Chaos<br />
<strong>and</strong> graphics: Parametric 2-dimensional L systems <strong>and</strong> recursive<br />
fractal images: M<strong>and</strong>elbrot set, Julia sets <strong>and</strong> biomorphs.
REFERENCES 167<br />
Computers <strong>and</strong> Graphics, 26(1):143–149, February 2002. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.com/gej-ng/10/13/20/68/27/40/<br />
abstract.html.<br />
Ohnishi:1990:CRH<br />
[Ohn90] Teruaki Ohnishi. Is the cosmic-ray hadron shower a fractal?<br />
Canadian Journal <strong>of</strong> Physics = Journal canadien de physique, 68<br />
(9):906–911, 1990. CODEN CJPHAD. ISSN 0008-4204 (print),<br />
1208-6045 (electronic). URL http://www.nrcresearchpress.<br />
com/doi/abs/10.1139/p90-127.<br />
Oldershaw:2001:SMA<br />
[Old01] Robert L. Oldershaw. M-set as metaphor: The abuse <strong>of</strong> algebra.<br />
Physics Education, 36(5):433, ???? 2001. CODEN PHEDA7.<br />
ISSN 0031-9120 (print), 1361-6552 (electronic). URL http://<br />
stacks.iop.org/0031-9120/36/i=5/a=605.<br />
Oliver:1991:FRW<br />
[Oli91] Dick Oliver. Fractals in the real world. Dr. Dobb’s Journal <strong>of</strong><br />
S<strong>of</strong>tware Tools, 16(4):68, 71–72, 74–75, 101–107, April 1991. CO-<br />
DEN DDJOEB. ISSN 1044-789X.<br />
Oku:2005:DMC<br />
[OMK + 05] Naohiko Oku, Kenya Murase, Kazuo Kitagawa, Yasuyuki<br />
Kimura, Katsufumi Kajimoto, Ashik Bin Anser, Makiko Tanaka,<br />
Hiroki Katoh, Masatsugu Hori, Jun Hatazawa, et al. Diagnosis<br />
<strong>of</strong> mild cognitive impairment using fractal analysis in CBF<br />
SPECT. Journal <strong>of</strong> Cerebral Blood Flow <strong>and</strong> Metabolism, 25<br />
(1s):S357, July 15, 2005. CODEN JCBMDN. ISSN 0271-678X<br />
(print), 1559-7016 (electronic). URL http://www.nature.com/<br />
jcbfm/journal/v25/n1s/full/9591524.0357a.html.<br />
Orbach:1986:DFN<br />
[Orb86] R. Orbach. Dynamics <strong>of</strong> fractal networks. Science, 231(4740):<br />
814–819, February 21, 1986. CODEN SCIEAS. ISSN 0036-8075<br />
(print), 1095-9203 (electronic). URL http://www.sciencemag.<br />
org/content/231/4740/814.full.pdf.<br />
Orlov:1970:GZM<br />
[Orl70] Ju. K. Orlov. A generalization <strong>of</strong> the Zipf–M<strong>and</strong>elbrot law.<br />
Sakharth. SSR Mech. Akad. Moambe, 57(??):37–40, ???? 1970.<br />
CODEN ???? ISSN ????
REFERENCES 168<br />
Orlov:1976:CBP<br />
[Orl76] Ju. K. Orlov. The connection between the Pareto distribution<br />
<strong>and</strong> the generalized Zipf–M<strong>and</strong>elbrot law. Sakharth. SSR Mech.<br />
Akad. Moambe, 83(1):57–60, ???? 1976. CODEN ???? ISSN ????<br />
Parsons:1989:IRU<br />
[Par89] Michael S. Parsons. Image representations using Mir<strong>and</strong>a Laws.<br />
Computer Graphics Forum, 8(2):99–106, June 1989. CODEN<br />
CGFODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Platzman:1989:SCP<br />
[PB89] Loren K. Platzman <strong>and</strong> John J. Bartholdi, III. Spacefilling<br />
curves <strong>and</strong> the planar travelling salesman problem. Journal <strong>of</strong><br />
the Association for Computing Machinery, 36(4):719–737, October<br />
1989. CODEN JACOAH. ISSN 0004-5411 (print), 1557-735X<br />
(electronic). URL http://www.acm.org/pubs/toc/Abstracts/<br />
0004-5411/76361.html.<br />
Park:2006:UOS<br />
[PC06] Moongyu Park <strong>and</strong> John H. Cushman. On upscaling operatorstable<br />
Lévy motions in fractal porous media. Journal <strong>of</strong> Computational<br />
Physics, 217(1):159–165, September 1, 2006. CO-<br />
DEN JCTPAH. ISSN 0021-9991 (print), 1090-2716 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0021999106000362.<br />
Pe:2004:XF<br />
[Pe04] Joseph L. Pe. The 3 x +1 fractal. Computers <strong>and</strong> Graphics,<br />
28(3):431–435, June 2004. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic).<br />
Peitgen:2010:BBM<br />
[Pei10] Heinz-Otto Peitgen. Benoît B. M<strong>and</strong>elbrot (1924–2010). Science,<br />
330(6006):926, November 12, 2010. CODEN SCIEAS. ISSN<br />
0036-8075 (print), 1095-9203 (electronic). URL http://www.<br />
sciencemag.org/content/330/6006/926.full.pdf.<br />
Pendry:1988:STD<br />
[Pen88] John Pendry. Symmetry <strong>and</strong> transport in disordered systems.<br />
IBM Journal <strong>of</strong> Research <strong>and</strong> Development, 32(1):137–143, January<br />
1988. CODEN IBMJAE. ISSN 0018-8646 (print), 2151-8556<br />
(electronic).
REFERENCES 169<br />
Persson:2010:BM<br />
[Per10] Ulf Persson. Benoît M<strong>and</strong>elbrot (1924–2010). Normat, 58(3):<br />
139–140, 144, ???? 2010. CODEN ???? ISSN 0801-3500.<br />
Peyriere:1991:MM<br />
[Pey91] Jacques Peyrière. Multifractal measures. In Byrnes et al.<br />
[BBBH92], pages 175–186. ISBN 0-7923-1804-8. LCCN ????<br />
Philip:1994:WMM<br />
[PFR94] A. G. Davis Philip, Michael Frame, <strong>and</strong> Adam Robucci. Warped<br />
midgets in the M<strong>and</strong>elbrot set. Computers <strong>and</strong> Graphics, 18(2):<br />
239–248, March–April 1994. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic).<br />
Palmore:1990:CAC<br />
[PH90] J. Palmore <strong>and</strong> C. Herring. Computer arithmetic, chaos <strong>and</strong><br />
fractals. Physica D, Nonlinear phenomena, 42(1–3):99–110, June<br />
1990. CODEN PDNPDT. ISSN 0167-2789 (print), 1872-8022<br />
(electronic). Ninth Annual International Conference <strong>of</strong> the Center<br />
for Nonlinear Studies on Self-Organizing, Collective <strong>and</strong> Cooperative<br />
Phenomena in Natural <strong>and</strong> Artificial Networks.<br />
Pentl<strong>and</strong>:1991:PAF<br />
[PH91] Alex<strong>and</strong>er P. Pentl<strong>and</strong> <strong>and</strong> Bradley Horowitz. Practical approach<br />
to fractal-based image compression. Proceedings <strong>of</strong> the SPIE —<br />
The International Society for Optical Engineering, 1605(??):467–<br />
474, ???? 1991. CODEN ???? ISSN ????<br />
Philip:1992:FLM<br />
[Phi92] Kenelm W. Philip. Field lines in the M<strong>and</strong>elbrot set. Computers<br />
<strong>and</strong> Graphics, 16(4):443–447, Winter 1992. CODEN COGRD2.<br />
ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Pickover:1986:MCA<br />
[Pic86] C. A. Pickover. A Monte Carlo approach for ɛ placement in<br />
fractal-dimension calculations for waveform graphs. Computer<br />
Graphics Forum, 5(3):203–209, September 1986. CODEN CG-<br />
FODY. ISSN 0167-7055 (print), 1467-8659 (electronic).
REFERENCES 170<br />
Pickover:1987:GBO<br />
[Pic87] C. A. Pickover. Graphics, bifurcation, order <strong>and</strong> chaos. Computer<br />
Graphics Forum, 6(1):26–33, January 1987. CODEN CGFODY.<br />
ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Pickover:1994:APG<br />
[Pic94] Clifford A. Pickover. Automatic parallel generation <strong>of</strong> Aeolian<br />
fractals on the IBM Power Visualization System. Computers <strong>and</strong><br />
Graphics, 18(3):407–416, May–June 1994. CODEN COGRD2.<br />
ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Pickover:1995:CFB<br />
[Pic95] Clifford A. Pickover. The crying <strong>of</strong> fractal Batrachion 1,489.<br />
Computers <strong>and</strong> Graphics, 19(4):611–615, July–August 1995.<br />
CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/cag/cas_sub/browse/browse.cgi?year=1995&volume=<br />
19&issue=4&aid=9500039.<br />
Pickstone:2007:BRM<br />
[Pic07] John Pickstone. Book review: Margaret Pelling <strong>and</strong> Scott M<strong>and</strong>elbrote<br />
(eds.), The Practice <strong>of</strong> Reform in Health, Medicine, <strong>and</strong><br />
Science, 1500–2000: Essays for Charles Webster. Aldershot: Ashgate,<br />
2005. Pp. xv + 376. ISBN 0-7546-3933-9. $60.00 (hardback).<br />
British Journal for the History <strong>of</strong> Science, 40(3):465–466,<br />
September 2007. CODEN BJHSAT. ISSN 0007-0874 (print),<br />
1474-001X (electronic). URL http://www.jstor.org/stable/<br />
4500767.<br />
Peitgen:1991:FC<br />
[PJS91] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe. Fractals<br />
for the classroom. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1991. ISBN 0-387-97346-X<br />
(vol. 1, New York), 3-540-97346-X (vol. 1, Berlin), 0-387-97722-8<br />
(vol. 2, New York), 3-540-97722-8 (vol. 2, Berlin). xii + 128 (vol.<br />
1) pp. LCCN QA614.86 .P45 1991. US$24.95 (vol. 1), US$39.95<br />
(vol. 2). Issued in 1991–1992, with corrected second printing in<br />
1993–1994.<br />
Peitgen:1992:CFNa<br />
[PJS92a] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe.<br />
Chaos <strong>and</strong> fractals: New frontiers <strong>of</strong> science. In Chaos <strong>and</strong> Fractals:<br />
New Frontiers <strong>of</strong> Science [PJS92b], chapter 5, pages 229–
REFERENCES 171<br />
296. ISBN 0-387-97903-4, 3-540-97903-4. LCCN QA614.86 .P43<br />
1992. US$49. With 686 illustrations, 40 in color.<br />
Peitgen:1992:CFNb<br />
[PJS92b] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe.<br />
Chaos <strong>and</strong> Fractals: New Frontiers <strong>of</strong> Science. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK / etc.,<br />
1992. ISBN 0-387-97903-4, 3-540-97903-4. xvi + 984 pp. LCCN<br />
QA614.86 .P43 1992. US$49. With 686 illustrations, 40 in color.<br />
Peitgen:1992:EIS<br />
[PJS92c] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe. Encoding<br />
images <strong>by</strong> simple transformations. In Chaos <strong>and</strong> Fractals:<br />
New Frontiers <strong>of</strong> Science, chapter 5, pages 229–296. Springer-<br />
Verlag, Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., 1992. ISBN 0-387-97903-4.<br />
Peitgen:1992:FCPa<br />
[PJS92d] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe. Fractals<br />
for the Classroom. Part One: Introduction to Fractals <strong>and</strong><br />
Chaos. Springer-Verlag, New York, NY, USA, 1992. ISBN 0-387-<br />
97041-X. xiv + 450 pp. LCCN ????<br />
Peitgen:1992:FCPb<br />
[PJS92e] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe. Fractals<br />
for the Classroom. Part Two: Complex Systems <strong>and</strong> M<strong>and</strong>elbrot<br />
Set. Springer-Verlag, Berlin, Germany / Heidelberg, Germany<br />
/ London, UK / etc., 1992. ISBN 0-387-97722-8. xii + 500<br />
pp. LCCN ????<br />
Peitgen:1993:CFN<br />
[PJS93] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe.<br />
Chaos <strong>and</strong> Fractals: New Frontiers <strong>of</strong> Science (corrected second<br />
printing). Springer-Verlag, Berlin, Germany / Heidelberg, Germany<br />
/ London, UK / etc., 1993. ISBN 0-387-97903-4, 3-540-<br />
97903-4. xvi + 984, with 686 illustrations, 40 in color pp. LCCN<br />
QA614.86 .P43 1993. US$49.<br />
Peitgen:1999:FCS<br />
[PJS99] Heinz-Otto Peitgen, Hartmut Jürgens, <strong>and</strong> Dietmar Saupe.<br />
Fractals for the classroom: strategic activities. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., 1999. ISBN 0-387-98420-8 (vol. 3). xiv + 107 pp.
REFERENCES 172<br />
LCCN QA614.86 .F724 1999. URL http://www.loc.gov/<br />
catdir/enhancements/fy0815/2003535060-d.html; http:<br />
//www.loc.gov/catdir/enhancements/fy0815/2003535060-t.<br />
html.<br />
Peitgen:2004:CFN<br />
[PJS04a] Heinz-Otto Peitgen, H. (Hartmut) Jürgens, <strong>and</strong> Dietmar Saupe.<br />
Chaos <strong>and</strong> fractals: new frontiers <strong>of</strong> science. Springer-Verlag,<br />
Berlin, Germany / Heidelberg, Germany / London, UK /<br />
etc., second edition, 2004. ISBN 0-387-20229-3. xiii + 864<br />
pp. LCCN Q172.5.C45 P45 2004. URL http://www.loc.gov/<br />
catdir/enhancements/fy0818/2003063341-d.html; http:<br />
//www.loc.gov/catdir/enhancements/fy0818/2003063341-t.<br />
html.<br />
Peitgen:2004:CGH<br />
[PJS04b] Heinz-Otto Peitgen, H. (Hartmut) Jürgens, <strong>and</strong> Dietmar<br />
Saupe. The chaos game: How r<strong>and</strong>omness creates deterministic<br />
shapes. In Chaos <strong>and</strong> fractals: new frontiers <strong>of</strong> science<br />
[PJS04a], chapter 7, pages 277–327. ISBN 0-387-20229-<br />
3. LCCN Q172.5.C45 P45 2004. URL http://www.loc.gov/<br />
catdir/enhancements/fy0818/2003063341-d.html; http:<br />
//www.loc.gov/catdir/enhancements/fy0818/2003063341-t.<br />
html.<br />
Peskin:1994:MED<br />
[PM94] C. S. Peskin <strong>and</strong> D. M. McQueen. Mechanical equilibrium determines<br />
the fractal fiber architecture <strong>of</strong> the aortic heart valve<br />
leaflets. American Journal <strong>of</strong> Physiology, 266(1):H319–H328,<br />
January 1994. CODEN AJPHAP. ISSN 0002-9513.<br />
Pool:1990:FF<br />
[Poo90] Robert Pool. Fractal fracas. Science, 249(4967):363–364, July<br />
27, 1990. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/249/<br />
4967/363.full.pdf.<br />
Pountain:1986:TM<br />
[Pou86] Dick Pountain. Turbocharging M<strong>and</strong>elbrot. BYTE Magazine, 11<br />
(9):359–366, September 1986. CODEN BYTEDJ. ISSN 0360-<br />
5280.
REFERENCES 173<br />
Peitgen:1984:HCK<br />
[PR84a] Heinz-Otto Peitgen <strong>and</strong> Peter H. Richter. Harmonie in Chaos und<br />
Kosmos. Bilder aus d. Theorie dynamischer Systeme. (German)<br />
[Harmony in chaos <strong>and</strong> the cosmos. Pictures from the theory <strong>of</strong><br />
dynamical systems]. Die Sparkasse in Bremen, Bremen, West<br />
Germany, 1984. 63 pp. LCCN ????<br />
Peitgen:1984:MKG<br />
[PR84b] Heinz Otto. Peitgen <strong>and</strong> Peter H. Richter, editors. Morphologie<br />
komplexer Grenzen: Bilder aus der Theorie dynamischer Systeme.<br />
Ausstellung vom 27. Mai–9. Juni 1984 im Max-Planck-<br />
Institut für Biophysikalische Chemie, Verwaltungsgebäude am<br />
Fassberg, Göttingen u.a.. (German) [The morphology <strong>of</strong> complex<br />
limits: Pictures from the theory <strong>of</strong> dynamical systems. Exhibition<br />
from 27 May to 9 June 1984 at the Max Planck Institute<br />
for Biophysical Chemistry, Administration building at Fassberg,<br />
Göttingen]. Forschungsgruppe “Komplexe Dynamik”, Universität<br />
Bremen, Bremen, West Germany, 1984. 47 pp. LCCN ???? URL<br />
http://www.gbv.de/dms/ohb-opac/01903640X.pdf.<br />
Peitgen:1986:BF<br />
[PR86] Heinz-Otto Peitgen <strong>and</strong> Peter H. Richter. The Beauty <strong>of</strong> Fractals.<br />
Springer-Verlag, Berlin, Germany / Heidelberg, Germany /<br />
London, UK / etc., 1986. ISBN 0-387-15851-0. xii + 199 pp.<br />
LCCN QA447 .P45 1986.<br />
Pastor:2004:CBM<br />
[PRÁM04] G. Pastor, M. Romera, G. Álvarez, <strong>and</strong> F. Montoya. Chaotic<br />
b<strong>and</strong>s in the M<strong>and</strong>elbrot set. Computers <strong>and</strong> Graphics, 28(5):<br />
779–784, October 2004. CODEN COGRD2. ISSN 0097-8493<br />
(print), 1873-7684 (electronic).<br />
Prodinger:1995:SPY<br />
[Pro95] H. Prodinger. Solution <strong>of</strong> a problem <strong>of</strong> Yekutieli <strong>and</strong> M<strong>and</strong>elbrot.<br />
Lecture Notes in Computer Science, 911(??):461–??, ????<br />
1995. CODEN LNCSD9. ISSN 0302-9743 (print), 1611-3349<br />
(electronic).<br />
Prodinger:1997:PYM<br />
[Pro97] Helmut Prodinger. On a problem <strong>of</strong> Yekutieli <strong>and</strong> M<strong>and</strong>elbrot<br />
<strong>about</strong> the bifurcation ratio <strong>of</strong> binary trees. Theoretical<br />
Computer Science, 181(1):181–194, July 15, 1997. CO-
REFERENCES 174<br />
DEN TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=<br />
181&issue=1&aid=2471.<br />
Peitgen:1988:SFI<br />
[PS88a] Heinz-Otto Peitgen <strong>and</strong> Dietmar Saupe, editors. The Science <strong>of</strong><br />
Fractal Images. Springer-Verlag, Berlin, Germany / Heidelberg,<br />
Germany / London, UK / etc., 1988. ISBN 0-387-96608-0 (New<br />
York), 3-540-96608-0 (Berlin). xiii + 312 pp. LCCN QA614.86<br />
.S35 1988.<br />
Prusinkiewicz:1988:KCA<br />
[PS88b] Przemyslaw Prusinkiewicz <strong>and</strong> Glen S<strong>and</strong>ness. Koch curves as<br />
attractors <strong>and</strong> repellers. IEEE Computer Graphics <strong>and</strong> Applications,<br />
8(6):26–40, November 1988. CODEN ICGADZ. ISSN<br />
0272-1716 (print), 1558-1756 (electronic).<br />
Peitgen:1984:CPJ<br />
[PSvH84] H.-O. Peitgen, D. Saupe, <strong>and</strong> F. von Haeseler. Cayley’s problem<br />
<strong>and</strong> Julia sets. The Mathematical Intelligencer, 6(??):11–20, ????<br />
1984. CODEN MAINDC. ISSN 0343-6993 (print), 1866-7414<br />
(electronic).<br />
Pietronero:1986:FPP<br />
[PT86] L. (Luciano) Pietronero <strong>and</strong> E. (Erio) Tosatti, editors. Fractals<br />
in physics: proceedings <strong>of</strong> the Sixth Trieste International Symposium<br />
on Fractals in Physics, ICTP, Trieste, Italy, July 9–12,<br />
1985. North-Holl<strong>and</strong> Publishing Co., Amsterdam, The Netherl<strong>and</strong>s,<br />
1986. ISBN 0-444-86995-6 (U.S.). LCCN QC20.7.G44 I585<br />
1985.<br />
Paramanathan:2008:ACF<br />
[PU08] P. Paramanathan <strong>and</strong> R. Uthayakumar. An algorithm for computing<br />
the fractal dimension <strong>of</strong> waveforms. Applied Mathematics<br />
<strong>and</strong> Computation, 195(2):598–603, February 1, 2008. CO-<br />
DEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300307005899.<br />
Pumar:1996:ZTI<br />
[Pum96] M. A. Pumar. Zooming <strong>of</strong> terrain imagery using fractalbased<br />
interpolation. Computers <strong>and</strong> Graphics, 20(1):171–176,<br />
January–February 1996. CODEN COGRD2. ISSN 0097-8493
REFERENCES 175<br />
(print), 1873-7684 (electronic). URL http://www.elsevier.<br />
com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.<br />
cgi?year=1996&volume=20&issue=1&aid=9500102.<br />
Romera:2008:DCE<br />
[RAA + 08] M. Romera, G. Alvarez, D. Arroyo, A. B. Orue, V. Fern<strong>and</strong>ez,<br />
<strong>and</strong> G. Pastor. Drawing <strong>and</strong> computing external rays in<br />
the multiple-spiral medallions <strong>of</strong> the M<strong>and</strong>elbrot set. Computers<br />
<strong>and</strong> Graphics, 32(5):597–610, October 2008. CODEN<br />
COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849308000484.<br />
Rachev:2003:HHT<br />
[Rac03] Svetlozar T. Rachev, editor. H<strong>and</strong>book <strong>of</strong> heavy tailed distributions<br />
in finance, volume 1 <strong>of</strong> H<strong>and</strong>books in Finance. Elsevier,<br />
Amsterdam, The Netherl<strong>and</strong>s, 2003. ISBN 0-444-50896-1. xxiv<br />
+ 680 pp. LCCN ????<br />
Radai:1996:CAM<br />
[Rad96] Yisrael Radai. Computer art from the M<strong>and</strong>elbrot set. Computers<br />
<strong>and</strong> Graphics, 20(6):925–926, November–December 1996.<br />
CODEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/cag/cas_sub/browse/browse.cgi?year=1996&volume=<br />
20&issue=6&aid=9600062.<br />
Rankin:1991:RBL<br />
[Ran91] John R. Rankin. Recursive bisection line algorithm. Computers<br />
<strong>and</strong> Graphics, 15(1):1–8, ???? 1991. CODEN COGRD2. ISSN<br />
0097-8493 (print), 1873-7684 (electronic).<br />
Rarity:1989:CSF<br />
[Rar89] John Rarity. Colloids stick to fractal rules. Nature, 339(6223):<br />
340–341, June 1, 1989. CODEN NATUAS. ISSN 0028-0836<br />
(print), 1476-4687 (electronic). URL http://www.nature.com/<br />
nature/journal/v339/n6223/pdf/339340a0.pdf.<br />
Ratliff:1993:MFI<br />
[Rat93] Michael I. Ratliff. M<strong>and</strong>elbrot’s functional iteration <strong>and</strong> continued<br />
fractions. Fibonacci Quarterly, 31(3):263–267, August 1993.<br />
CODEN FIBQAU. ISSN 0015-0517. URL http://www.fq.math.<br />
ca/Scanned/31-3/ratliff.pdf.
REFERENCES 176<br />
Robinson:1979:PBB<br />
[RB79] Peter D. Robinson <strong>and</strong> Michael F. Barnsley. Pointwise bivariational<br />
bounds on solutions <strong>of</strong> Fredholm integral equations. SIAM<br />
Journal on Numerical Analysis, 16(1):135–144, February 1979.<br />
CODEN SJNAAM. ISSN 0036-1429 (print), 1095-7170 (electronic).<br />
Redmill:1996:GAF<br />
[RBM96] David W. Redmill, David R. Bull, <strong>and</strong> Ralph R. Martin. Genetic<br />
algorithms for fast search in fractal image coding. Proceedings <strong>of</strong><br />
the SPIE — The International Society for Optical Engineering,<br />
2727(??):1367–1376, ???? 1996. CODEN ???? ISSN ????<br />
Ritter:2006:RTI<br />
[RHD + 06] Felix Ritter, Christian Hansen, Volker Dicken, Olaf Konrad,<br />
Bernhard Preim, <strong>and</strong> Heinz-Otto Peitgen. Real-time illustration<br />
<strong>of</strong> vascular structures. IEEE Transactions on Visualization<br />
<strong>and</strong> Computer Graphics, 12(5):877–884, September/October<br />
2006. CODEN ITVGEA. ISSN 1077-2626 (print), 1941-0506<br />
(electronic), 2160-9306.<br />
Rice:1994:FC<br />
[Ric94] Sean Rice. Fractal colonies. Science, 266(5185):664–665, October<br />
28, 1994. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/266/<br />
5185/664.2.full.pdf.<br />
Riedi:1995:MFI<br />
[RM95] Rudolf H. Riedi <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Multifractal formalism<br />
for infinite multinomial measures. Advances in Applied<br />
Mathematics, 16(2):132–150, ???? 1995. CODEN ???? ISSN<br />
0196-8858 (print), 1090-2074 (electronic).<br />
Riedi:1997:IFC<br />
[RM97] Rudolf H. Riedi <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Inversion formula for<br />
continuous multifractals. Advances in Applied Mathematics, 19<br />
(3):332–354, ???? 1997. CODEN ???? ISSN 0196-8858 (print),<br />
1090-2074 (electronic).<br />
Riedi:1998:EMF<br />
[RM98] Rudolf H. Riedi <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Exceptions to the<br />
multifractal formalism for discontinuous measures. Math. Proc.
REFERENCES 177<br />
Cambridge Philos. Soc., 123(1):133–157, ???? 1998. CODEN<br />
MPCPCO. ISSN 0305-0041 (print), 1469-8064 (electronic).<br />
Robinson:1985:FFV<br />
[Rob85] Arthur L. Robinson. Fractal fingers in viscous fluids. Science,<br />
228(4703):1077–1080, May 31, 1985. CODEN SCIEAS. ISSN<br />
0036-8075 (print), 1095-9203 (electronic). URL http://www.<br />
sciencemag.org/content/228/4703/1077.full.pdf.<br />
Rojas:1991:TEC<br />
[Roj91] Raul Rojas. A tutorial on efficient computer graphic representations<br />
<strong>of</strong> the M<strong>and</strong>elbrot set. Computers <strong>and</strong> Graphics, 15(1):<br />
91–100, ???? 1991. CODEN COGRD2. ISSN 0097-8493 (print),<br />
1873-7684 (electronic).<br />
Rood:2010:FLM<br />
[Roo10] Will Rood. Fractal limits: The M<strong>and</strong>elbrot set <strong>and</strong> the selfsimilar<br />
tilings <strong>of</strong> M. C. Escher. In Lesmoir-Gordon [LG10b],<br />
chapter 5, pages 74–87. ISBN 1-84996-485-8. LCCN QA614.86<br />
.C65 2010. URL http://www.springerlink.com/content/978-<br />
1-84996-485-2. with contributions <strong>by</strong> Ian Stewart, Sir Arthur<br />
C. Clarke, Benoît B. M<strong>and</strong>elbrot, Michael <strong>and</strong> Louisa Barnsley,<br />
Will Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Romera:2004:EAD<br />
[RPÁM04] M. Romera, G. Pastor, G. Álvarez, <strong>and</strong> F. Montoya. External arguments<br />
<strong>of</strong> Douady cauliflowers in the M<strong>and</strong>elbrot set. Computers<br />
<strong>and</strong> Graphics, 28(3):437–449, June 2004. CODEN COGRD2.<br />
ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Romera:2006:EAM<br />
[RPAM06] M. Romera, G. Pastor, G. Alvarez, <strong>and</strong> F. Montoya. External<br />
arguments in the multiple-spiral medallions <strong>of</strong> the M<strong>and</strong>elbrot<br />
set. Computers <strong>and</strong> Graphics, 30(3):460–469, June 2006. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849306000690.<br />
Risser:2006:HFN<br />
[RPS + 06] Laurent Risser, Franck Plouraboué, Alex<strong>and</strong>re Steyer, Peter<br />
Cloetens, Géraldine Le Duc, Caroline Fonta, et al. From homogeneous<br />
to fractal normal <strong>and</strong> tumorous microvascular networks<br />
in the brain. Journal <strong>of</strong> Cerebral Blood Flow <strong>and</strong> Metabolism, 27
REFERENCES 178<br />
(2):293–303, May 24, 2006. CODEN JCBMDN. ISSN 0271-678X<br />
(print), 1559-7016 (electronic). URL http://www.nature.com/<br />
jcbfm/journal/v27/n2/full/9600332a.html.<br />
Ribeiro:2006:MQA<br />
[RRB06] Vinay J. Ribeiro, Rudolf H. Riedi, <strong>and</strong> Richard G. Baraniuk. Multiscale<br />
queueing analysis. IEEE/ACM Transactions on Networking,<br />
14(5):1005–1018, October 2006. CODEN IEANEP. ISSN<br />
1063-6692 (print), 1558-2566 (electronic).<br />
Roughan:2000:RTE<br />
[RVA00] Matthew Roughan, Darryl Veitch, <strong>and</strong> Patrice Abry. Realtime<br />
estimation <strong>of</strong> the parameters <strong>of</strong> long-range dependence.<br />
IEEE/ACM Transactions on Networking, 8(4):467–478, August<br />
2000. CODEN IEANEP. ISSN 1063-6692 (print), 1558-<br />
2566 (electronic). URL http://www.acm.org/pubs/citations/<br />
journals/ton/2000-8-4/p467-roughan/.<br />
Resch:1989:CAC<br />
[RW89] Mark Resch <strong>and</strong> Deborah Williams, editors. Computer Art in<br />
Context: SIGGRAPH ’89 Art Show Catalog. July 31–August<br />
4, 1989, SIGGRAPH ’89, Boston, Massachusetts <strong>and</strong> June<br />
28–September 5 1989, The Computer Museum, Boston, Massachusetts.<br />
Pergamon, New York, NY, USA, 1989. CODEN ????<br />
ISBN 0-08-037921-4. ISSN 0024-094X (print), 1530-9282 (electronic).<br />
LCCN N 7433.8 C66 1989. URL http://info.acm.org/<br />
pubs/contents/proceedings/graph/. Also published as 1989<br />
Supplement to Leonardo: Journal <strong>of</strong> the International Society<br />
for the Arts, Sciences <strong>and</strong> Technology.<br />
Sahimi:1993:FPR<br />
[Sah93] Muhammad Sahimi. Flow phenomena in rocks: from continuum<br />
models to fractals, percolation, cellular automata, <strong>and</strong> simulated<br />
annealing. Reviews <strong>of</strong> Modern Physics, 65(4):1393–1534,<br />
October 1993. CODEN RMPHAT. ISSN 0034-6861 (print),<br />
1538-4527 (electronic), 1539-0756. URL http://link.aps.org/<br />
doi/10.1103/RevModPhys.65.1393; http://rmp.aps.org/<br />
abstract/RMP/v65/i4/p1393_1.<br />
Stauffer:1993:SSC<br />
[SAM93] D. Stauffer, A. Aharony, <strong>and</strong> B. B. M<strong>and</strong>elbrot. Self-similarity<br />
<strong>and</strong> covered neighborhoods <strong>of</strong> fractals: a r<strong>and</strong>om walk test. Phys-
REFERENCES 179<br />
ica A, 196(1):1–5, ???? 1993. CODEN PHYADX. ISSN 0378-4371<br />
(print), 1873-2119 (electronic).<br />
S<strong>and</strong>er:1985:SIP<br />
[San85] L. M. S<strong>and</strong>er. Scale-invariant phenomena: Viscous fingers<br />
<strong>and</strong> fractal growth. Nature, 314(6010):405–406, April 4, 1985.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v314/<br />
n6010/pdf/314405a0.pdf.<br />
S<strong>and</strong>er:1986:FGP<br />
[San86] Leonard M. S<strong>and</strong>er. Fractal growth processes. Nature, 322(6082):<br />
789–793, August 28, 1986. CODEN NATUAS. ISSN 0028-0836<br />
(print), 1476-4687 (electronic). URL http://www.nature.com/<br />
nature/journal/v322/n6082/pdf/322789a0.pdf.<br />
S<strong>and</strong>er:1987:FGa<br />
[San87a] Leonard M. S<strong>and</strong>er. Fractal growth. Scientific American, 256<br />
(1):82–88, January 1987. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic).<br />
S<strong>and</strong>er:1987:FGb<br />
[San87b] Leonard M. S<strong>and</strong>er. Fractal growth. Scientific American, 256<br />
(1):94–100, January 1987. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic). URL http://www.nature.com/<br />
scientificamerican/journal/v256/n1/pdf/scientificamerican0187-<br />
94.pdf.<br />
Saupe:1987:ECJ<br />
[Sau87] Dietmar Saupe. Efficient computation <strong>of</strong> Julia sets <strong>and</strong> their<br />
fractal dimension. Physica D, Nonlinear phenomena, 28(??):358–<br />
370, ???? 1987. CODEN PDNPDT. ISSN 0167-2789 (print),<br />
1872-8022 (electronic).<br />
Saupe:1996:FSI<br />
[Sau96a] Dietmar Saupe. The futility <strong>of</strong> square isometries in fractal image<br />
compression. In Proceedings ICIP-96 (IEEE International Conference<br />
on Image Processing), volume I, pages 161–164. IEEE<br />
Computer Society Press, 1109 Spring Street, Suite 300, Silver<br />
Spring, MD 20910, USA, September 1996.
REFERENCES 180<br />
Saupe:1996:LDP<br />
[Sau96b] Dietmar Saupe. Lean domain pools for fractal image compression.<br />
Proceedings <strong>of</strong> the SPIE — The International Society for<br />
Optical Engineering, 2669(??):150–157, January 1996. CODEN<br />
???? ISSN ????<br />
Samuel:2012:IBM<br />
[SBvB + 12] Nina Samuel, Matthias Bruhn, Jan von Brevern, Juliet Koss,<br />
Margarete Pratschke, <strong>and</strong> Wlaldimir Velminski, editors. The isl<strong>and</strong>s<br />
<strong>of</strong> Benoît M<strong>and</strong>elbrot: fractals, chaos, <strong>and</strong> the materiality<br />
<strong>of</strong> thinking. Bard Graduate Center: Decorative Arts, Design<br />
History, Material Culture, New Haven, CT, USA, 2012. ISBN<br />
0-300-18643-6. ???? pp. LCCN Q223 .I85 2012.<br />
Stepoway:1988:PRF<br />
[SC88] Stephen L. Stepoway <strong>and</strong> Michael Christiansen. Parallel rendering<br />
<strong>of</strong> fractal surfaces. International Journal <strong>of</strong> Parallel Programming,<br />
17(1):43–58, February 1988. CODEN IJPPE5. ISSN<br />
0885-7458 (print), 1573-7640 (electronic). URL http://www.<br />
springerlink.com/openurl.asp?genre=article&issn=0885-<br />
7458&volume=17&issue=1&spage=43.<br />
Soehle:2007:VFA<br />
[SCC + 07] Martin Soehle, Marek Czosnyka, Doris A. Chatfield, Andreas<br />
Hoeft, <strong>and</strong> Alonso Peña. Variability <strong>and</strong> fractal analysis <strong>of</strong> middle<br />
cerebral artery blood flow velocity <strong>and</strong> arterial blood pressure<br />
in subarachnoid hemorrhage. Journal <strong>of</strong> Cerebral Blood Flow <strong>and</strong><br />
Metabolism, 28(1):64–73, May 2, 2007. CODEN JCBMDN. ISSN<br />
0271-678X (print), 1559-7016 (electronic). URL http://www.<br />
nature.com/jcbfm/journal/v28/n1/full/9600506a.html.<br />
Schroeder:1986:PMS<br />
[Sch86] ?. Schroeder. Plotting the M<strong>and</strong>elbrot set. BYTE Magazine, 11<br />
(??):??, ?? 1986. CODEN BYTEDJ. ISSN 0360-5280.<br />
Schroeder:1987:TST<br />
[Sch87] Manfred R. Schroeder. Is there such a thing as fractal music?<br />
Nature, 325(6107):765–766, February 26, 1987. CO-<br />
DEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v325/<br />
n6107/pdf/325765c0.pdf.
REFERENCES 181<br />
Schaefer:1989:PFC<br />
[Sch89] Dale W. Schaefer. Polymers, fractals, <strong>and</strong> ceramic materials. Science,<br />
243(4894):1023–1027, February 24, 1989. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.sciencemag.org/content/243/4894/1023.full.pdf.<br />
Schechter:1990:CHM<br />
[Sch90] Dan Schechter. CUG305 HGA M<strong>and</strong>elbrot Explorer <strong>and</strong> card<br />
games. C Users Journal, 8(3):131–??, March 1990. CODEN ????<br />
ISSN 0898-9788.<br />
Schilling:2005:RBC<br />
[Sch05] René L. Schilling. Review: Fractals <strong>and</strong> Chaos. The M<strong>and</strong>elbrot<br />
Set <strong>and</strong> beyond <strong>by</strong> Benoît B. M<strong>and</strong>elbrot. Mathematical Gazette,<br />
89(514):168, March 2005. CODEN MAGAAS. ISSN 0025-5572.<br />
URL http://www.jstor.org/stable/3620693.<br />
Spehar:2003:UAF<br />
[SCNT03] Branka Spehar, Colin W. G. Clifford, Ben R. Newell, <strong>and</strong><br />
Richard P. Taylor. Universal aesthetic <strong>of</strong> fractals. Computers<br />
<strong>and</strong> Graphics, 27(5):813–820, October 2003. CODEN COGRD2.<br />
ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Selinker:2010:NTJ<br />
[Sel10] Mike Selinker. Never trend away: Jonathan Coulton on<br />
Benoît M<strong>and</strong>elbrot. Wired Magazine, ??(??):??, October 18,<br />
2010. CODEN ???? ISSN ???? URL http://www.<br />
wired.com/magazine/2010/10/never-trend-away-jonathancoulton-on-benoit-m<strong>and</strong>elbrot/.<br />
Senn:1990:MSB<br />
[Sen90] Peter Senn. The M<strong>and</strong>elbrot set for binary numbers. American<br />
Journal <strong>of</strong> Physics, 58:1018–??, 1990. CODEN AJPIAS. ISSN<br />
0002-9505. URL http://link.aip.org/link/ajpias/v58/i10/<br />
p1018/s1.<br />
Setti:1992:GEH<br />
[Set92] Alberto G. Setti. Gaussian estimates for the heat kernel <strong>of</strong> the<br />
weighted Laplacian <strong>and</strong> fractal measures. Canadian Journal <strong>of</strong><br />
Mathematics = Journal canadien de mathématiques, 44(??):1061–<br />
1078, ???? 1992. CODEN CJMAAB. ISSN 0008-414X (print),<br />
1496-4279 (electronic).
REFERENCES 182<br />
Sleeman:1992:ABC<br />
[SH92] B. D. Sleeman <strong>and</strong> Chen Hua. An analogue <strong>of</strong> Berry’s conjecture<br />
for the phase in fractal obstacle scattering. IMA Journal <strong>of</strong> Applied<br />
Mathematics, 49(3):193–202, ???? 1992. CODEN IJAMDM.<br />
ISSN 0272-4960 (print), 1464-3634 (electronic).<br />
Saupe:1996:LAF<br />
[SH96] Dietmar Saupe <strong>and</strong> Hannes Hartenstein. Lossless acceleration<br />
<strong>of</strong> fractal image compression <strong>by</strong> fast convolution. In Proceedings<br />
ICIP-96 (IEEE International Conference on Image Processing),<br />
volume I, pages 185–188. IEEE Computer Society Press, 1109<br />
Spring Street, Suite 300, Silver Spring, MD 20910, USA, September<br />
1996.<br />
Shirriff:1993:IFG<br />
[Shi93] Ken W. Shirriff. An investigation <strong>of</strong> fractals generated <strong>by</strong> z →<br />
z −n + c. Computers <strong>and</strong> Graphics, 17(5):603–607, September–<br />
October 1993. CODEN COGRD2. ISSN 0097-8493 (print), 1873-<br />
7684 (electronic).<br />
Shishikura:1998:HDB<br />
[Shi98] Mitsuhiro Shishikura. The Hausdorff dimension <strong>of</strong> the boundary<br />
<strong>of</strong> the M<strong>and</strong>elbrot set <strong>and</strong> Julia sets. Annals <strong>of</strong> Mathematics, 147<br />
(2):225–267, March 1998. CODEN ANMAAH. ISSN 0003-486X<br />
(print), 1939-8980 (electronic). URL http://www.jstor.org/<br />
stable/121009.<br />
Shlyk:2005:SSE<br />
[Shl05] V. A. Shlyk. He has scratched the surface <strong>of</strong> everything: on<br />
the eightieth birthday <strong>of</strong> Benoît M<strong>and</strong>elbrot. Izv. Chelyabinsk.<br />
Nauchn. Tsentra, 3(29):107–124, ???? 2005. CODEN ???? ISSN<br />
1727-7434.<br />
Signes:1996:RCS<br />
[Sig96] Julien Signes. Reducing the codebook size in fractal image<br />
compression <strong>by</strong> geometrical analysis. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 2727(??):<br />
1400–1409, ???? 1996. CODEN ???? ISSN ????<br />
Simon:1955:CSD<br />
[Sim55] Herbert A. Simon. On a class <strong>of</strong> skew distribution functions.<br />
Biometrika, 42(3–4):425–440, December 1955. CODEN
REFERENCES 183<br />
BIOKAX. ISSN 0006-3444 (print), 1464-3510 (electronic). URL<br />
http://www.jstor.org/stable/2333389.<br />
Simon:1961:RFN<br />
[Sim61] Herbert A. Simon. Reply to “Final note” <strong>by</strong> Benoît M<strong>and</strong>elbrot.<br />
Information <strong>and</strong> Control, 4(??):217–223, ????<br />
IFCNA4. ISSN 0890-5401.<br />
1961. CODEN<br />
Singh:2007:VU<br />
[Sin07] Gary Singh. Vamping on ultrafractal. IEEE Computer Graphics<br />
<strong>and</strong> Applications, 27(1):4–5, January/February 2007. CO-<br />
DEN ICGADZ. ISSN 0272-1716 (print), 1558-1756 (electronic).<br />
URL http://csdl.computer.org/comp/mags/cg/<br />
2007/01/g1004.pdf.<br />
Sirvent:1997:SDS<br />
[Sir97] Víctor F. Sirvent. On some dynamical subsets <strong>of</strong> the Rauzy fractal.<br />
Theoretical Computer Science, 180(1–2):363–370, June 10,<br />
1997. CODEN TCSCDI. ISSN 0304-3975 (print), 1879-2294 (electronic).<br />
URL http://www.elsevier.com/cgi-bin/cas/tree/<br />
store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=<br />
180&issue=1-2&aid=2533.<br />
Skarbek:1999:PCD<br />
[Ska99] W. Skarbek. Perceptual convergence <strong>of</strong> discrete clamped fractal<br />
operator. Lecture Notes in Computer Science, 1609(??):395–??,<br />
???? 1999. CODEN LNCSD9. ISSN 0302-9743 (print), 1611-3349<br />
(electronic).<br />
Smithe:1997:ESA<br />
[SL97] David Smithe <strong>and</strong> Larry Ludeking. An eigenmode solution algorithm<br />
based on high-order power iteration with fractally ordered<br />
shifts. Computer Physics Communications, 106(1–2):95–<br />
104, October 2, 1997. CODEN CPHCBZ. ISSN 0010-4655 (print),<br />
1879-2944 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0010465597000817.<br />
Slater:2007:FFR<br />
[Sla07] P. B. Slater. Fractal fits to Riemann zeros. Canadian Journal <strong>of</strong><br />
Physics = Journal canadien de physique, 85(4):345–357, 2007.<br />
CODEN CJPHAD. ISSN 0008-4204 (print), 1208-6045 (electronic).<br />
URL http://www.nrcresearchpress.com/doi/abs/<br />
10.1139/p07-050.
REFERENCES 184<br />
Sloan:1994:LBR<br />
[Slo94] Alan D. Sloan. Low-bit-rate fractal image coding. Proceedings <strong>of</strong><br />
the SPIE — The International Society for Optical Engineering,<br />
2239(??):210–213, ???? 1994. CODEN ???? ISSN ????<br />
Scholz:1989:I<br />
[SM89a] C. H. Scholz <strong>and</strong> B. B. M<strong>and</strong>elbrot. Introduction. Pure <strong>and</strong><br />
Applied Geophysics, 131(1–2):1–4, ???? 1989. CODEN ????<br />
ISSN ???? URL http://www.springerlink.com/content/<br />
x26l140400101035/.<br />
Scholz:1989:FG<br />
[SM89b] C. H. (Christopher H.) Scholz <strong>and</strong> Benoît B. M<strong>and</strong>elbrot, editors.<br />
Fractals in geophysics, volume 131(1/2) <strong>of</strong> Pure <strong>and</strong> applied<br />
geophysics. Birkhäuser Verlag, Basel, Switzerl<strong>and</strong>, 1989. ISBN<br />
0-8176-2206-3 (U.S.). 313 pp. LCCN QC801 .G37 v.131, no.1/2;<br />
QE33.2.M3 F73 1989. Reprinted from Pure <strong>and</strong> applied geophysics<br />
(PAGEOPH), volume 131 (1989), no. 1.<br />
Smith:1984:PFF<br />
[Smi84] Alvy Ray Smith III. Plants, fractals, <strong>and</strong> formal languages.<br />
Computer Graphics, 18(3):1–10, July 1984. CODEN CGRADI,<br />
CPGPBZ. ISSN 0097-8930. Applications <strong>of</strong> formal grammars for<br />
generating graphic fractals — “graftals” — in the modeling <strong>of</strong><br />
plants.<br />
Smirnov:1991:NMC<br />
[Smi91] B. M. Smirnov. From Newton to M<strong>and</strong>elbrot: concepts in theoretical<br />
physics. Soviet Physics. Uspekhi, 34(11):1021, November<br />
1991. CODEN SOPUAP. ISSN 0038-5670. URL http://ufn.<br />
ru/en/articles/1991/11/h/.<br />
Shlesinger:1984:FPS<br />
[SMR84] Michael F. Shlesinger, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Robert J. Rubin,<br />
editors. Fractals in the physical sciences. Proceedings <strong>of</strong> the<br />
Symposium on Fractals in the Physical Sciences, held at the U.S.<br />
National Bureau <strong>of</strong> St<strong>and</strong>ards, Gaithersburg, Maryl<strong>and</strong>, November<br />
21–23, 1983., volume 36(5/6) <strong>of</strong> Journal <strong>of</strong> Statistical Physics.<br />
Plenum Press, New York, NY, USA; London, UK, 1984. LCCN<br />
????
REFERENCES 185<br />
Sommerer:1993:PFM<br />
[SO93] John C. Sommerer <strong>and</strong> Edward Ott. Particles floating on a moving<br />
fluid: A dynamically comprehensible physical fractal. Science,<br />
259(5093):335–339, January 15, 1993. CODEN SCIEAS.<br />
ISSN 0036-8075 (print), 1095-9203 (electronic). URL http://<br />
www.sciencemag.org/content/259/5093/335.full.pdf.<br />
Sparrow:1984:RBF<br />
[Spa84] Colin Sparrow. Review: The Fractal Geometry <strong>of</strong> Nature, <strong>by</strong><br />
Benoît B. M<strong>and</strong>elbrot. Journal <strong>of</strong> the Royal Statistical Society.<br />
Series A (General), 147(4):616–618, ???? 1984. CODEN JS-<br />
SAEF. ISSN 0035-9238. URL http://www.jstor.org/stable/<br />
2981858.<br />
Saupe:1996:EFI<br />
[SR96] Dietmar Saupe <strong>and</strong> Matthias Ruhl. Evolutionary fractal image<br />
compression. In Proceedings ICIP-96 (IEEE International Conference<br />
on Image Processing), volume I, pages 129–132. IEEE<br />
Computer Society Press, 1109 Spring Street, Suite 300, Silver<br />
Spring, MD 20910, USA, September 1996.<br />
Shallit:1989:TMG<br />
[SS89] Jeffrey Shallit <strong>and</strong> Jorge Stolfi. Two methods for generating fractals.<br />
Computers <strong>and</strong> Graphics, 13(2):185–191, ???? 1989. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Steacy:1991:AFP<br />
[SS91] S<strong>and</strong>ra J. Steacy <strong>and</strong> Charles G. Sammis. An automaton for<br />
fractal patterns <strong>of</strong> fragmentation. Nature, 353(6341):250–252,<br />
September 19, 1991. CODEN NATUAS. ISSN 0028-0836 (print),<br />
1476-4687 (electronic). URL http://www.nature.com/nature/<br />
journal/v353/n6341/pdf/353250a0.pdf.<br />
Stark:2000:HSF<br />
[SS00] Colin P. Stark <strong>and</strong> Marc Stieglitz. Hydrology: The sting in<br />
a fractal tail. Nature, 403(6769):493–495, February 3, 2000.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v403/<br />
n6769/full/403493a0.html.<br />
Saka:1993:PSF<br />
[SSK93] G. Saka, F. Schroder, <strong>and</strong> H.-J. Koppert. Pseudo-satellite film using<br />
fractal clouds to enhance animated weather forecasting. Com-
REFERENCES 186<br />
puter Graphics Forum, 12(3):C329–C338, ???? 1993. CODEN<br />
CGFODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Szeliski:1989:SF<br />
[ST89] Richard Szeliski <strong>and</strong> Demetri Terzopoulos. From splines to fractals.<br />
Computer Graphics, 23(3):51–60, July 1989. CODEN<br />
CGRADI, CPGPBZ. ISSN 0097-8930. URL http://www.acm.<br />
org:80/pubs/citations/proceedings/graph/74333/p51-szeliski/<br />
.<br />
Staiger:1996:CSW<br />
[Sta96] Ludwig Staiger. Codes, simplifying words, <strong>and</strong> open set condition.<br />
Information Processing Letters, 58(6):297–301, June 24,<br />
1996. CODEN IFPLAT. ISSN 0020-0190 (print), 1872-6119 (electronic).<br />
Stewart:1988:BFD<br />
[Ste88] Ian Stewart. The beat <strong>of</strong> a fractal drum. Nature, 333(6170):206–<br />
207, May 19, 1988. CODEN NATUAS. ISSN 0028-0836 (print),<br />
1476-4687 (electronic). URL http://www.nature.com/nature/<br />
journal/v333/n6170/pdf/333206a0.pdf.<br />
Stewart:1998:DJN<br />
[Ste98] Ian Stewart. Dieu joue-t-il aux dés ?: les nouvelles mathématiques<br />
du chaos. Flammarion, Paris, France, second edition, 1998. ISBN<br />
2-08-081411-7 (hardcover), 2-08-081302-1 (paperback). vii + 602<br />
pp. LCCN ???? Preface <strong>by</strong> Benoît M<strong>and</strong>elbrot. Translation<br />
<strong>by</strong> Marianne Robert from the English edition. Remarks for the<br />
second edition <strong>by</strong> Marcel Filoche.<br />
Stewart:2000:FGT<br />
[Ste00a] Ian Stewart. A fractal guide to tic-tac-toe. Scientific American,<br />
283(2):86–88, August 2000. CODEN SCAMAC. ISSN 0036-8733<br />
(print), 1946-7087 (electronic). URL http://www.nature.com/<br />
scientificamerican/journal/v283/n2/pdf/scientificamerican0800-<br />
86.pdf.<br />
Stewart:2000:MRF<br />
[Ste00b] Ian Stewart. Mathematical recreations: a fractal guide to tic-tactoe.<br />
Scientific American, 283(2):86–??, August 2000. CODEN<br />
SCAMAC. ISSN 0036-8733 (print), 1946-7087 (electronic).
REFERENCES 187<br />
Stewart:2010:NFG<br />
[Ste10] Ian Stewart. The nature <strong>of</strong> fractal geometry. In Lesmoir-Gordon<br />
[LG10b], chapter 1, pages 2–23. ISBN 1-84996-485-8. LCCN<br />
QA614.86 .C65 2010. URL http://www.springerlink.com/<br />
content/978-1-84996-485-2. with contributions <strong>by</strong> Ian Stewart,<br />
Sir Arthur C. Clarke, Benoît B. M<strong>and</strong>elbrot, Michael <strong>and</strong><br />
Louisa Barnsley, Will Rood, Gary Flake, <strong>and</strong> David Pennock.<br />
Sato:1999:NCS<br />
[STI99] Yuzuru Sato, Makoto Taiji, <strong>and</strong> Takashi Ikegami. NPcompleteness<br />
<strong>of</strong> k SAT <strong>and</strong> multifractals. Computer Physics<br />
Communications, 121–122(??):51–53, September/October 1999.<br />
CODEN CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/<br />
pii/S0010465599002787.<br />
Stoyan:1979:BRM<br />
[Sto79] D. Stoyan. Book review: M<strong>and</strong>elbrot, B. B., Fractals: Form,<br />
Chance, <strong>and</strong> Dimension. San Francisco. W. H. Freeman <strong>and</strong> Company.<br />
1977. 352 S., 68 Abb., $14.95. Zeitschrift für Angew<strong>and</strong>te<br />
Mathematik und Mechanik, 59(8):402–403, ???? 1979. CODEN<br />
ZAMMAX. ISSN 0044-2267 (print), 1521-4001 (electronic).<br />
Suzuki:1991:GTF<br />
[Suz91] Masuo Suzuki. General theory <strong>of</strong> fractal path integrals with applications<br />
to many-body theories <strong>and</strong> statistical physics. Journal<br />
<strong>of</strong> Mathematical Physics, 32(2):400–407, February 1991. CODEN<br />
JMAPAQ. ISSN 0022-2488 (print), 1089-7658 (electronic), 1527-<br />
2427. URL http://jmp.aip.org/resource/1/jmapaq/v32/i2/<br />
p400_s1.<br />
Sakas:1992:FAV<br />
[SW92] G. Sakas <strong>and</strong> R. Westermann. A functional approach to the visual<br />
simulation <strong>of</strong> gaseous turbulence. Computer Graphics Forum,<br />
11(3):C107–C117, C467–C468, ???? 1992. CODEN CGFODY.<br />
ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Swehosky:1991:RBC<br />
[Swe91] Frank J. Swehosky. Review: Transition to Chaos: The Orbit Diagram<br />
<strong>and</strong> the M<strong>and</strong>elbrot Set <strong>by</strong> Robert L. Devaney. The Mathematics<br />
Teacher, 84(9):773–774, ???? 1991. CODEN ???? ISSN<br />
0025-5769. URL http://www.jstor.org/stable/27967426.
REFERENCES 188<br />
Taubes:1998:FRN<br />
[Tau98] Gary Taubes. Fractals reemerge in the new math <strong>of</strong> the Internet.<br />
Science, 281(5385):1947–1948, September 25, 1998. CODEN<br />
SCIEAS. ISSN 0036-8075 (print), 1095-9203 (electronic). URL<br />
http://www.sciencemag.org/content/281/5385/1947.full.<br />
Taylor:1985:F<br />
[Tay85] S. James Taylor. Fractals. Science, 229(4720):1381, September<br />
27, 1985. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/229/<br />
4720/1381.1.full.pdf.<br />
Taylor:2011:BMO<br />
[Tay11] Richard Taylor. Benoît M<strong>and</strong>elbrot [obituary]. Physics Today,<br />
64(6):63–??, June 2011. CODEN PHTOAD. ISSN 0031-9228<br />
(print), 1945-0699 (electronic).<br />
link/phtoad/v64/i6/p63/s1.<br />
URL http://link.aip.org/<br />
Timbo:2009:CCC<br />
[TdRGD09] C. Timbó, L. A. R. da Rosa, M. Gonçalves, <strong>and</strong> S. B. Duarte.<br />
Computational cancer cells identification <strong>by</strong> fractal dimension<br />
analysis. Computer Physics Communications, 180(6):850–853,<br />
June 2009. CODEN CPHCBZ. ISSN 0010-4655 (print),<br />
1879-2944 (electronic). URL http://www.sciencedirect.com/<br />
science/article/pii/S0010465508004190.<br />
Tsonis:1992:NPW<br />
[TE92] A. A. Tsonis <strong>and</strong> J. B. Elsner. Nonlinear prediction as a way <strong>of</strong><br />
distinguishing chaos from r<strong>and</strong>om fractal sequences. Nature, 358<br />
(6383):217–220, July 16, 1992. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v358/n6383/pdf/358217a0.pdf.<br />
Tenner:2010:BMM<br />
[Ten10] Edward Tenner. Benoît M<strong>and</strong>elbrot the maverick, 1924–<br />
2010. The Atlantic, ??(??):??, October 16, 2010. CO-<br />
DEN ???? ISSN ???? URL http://www.theatlantic.<br />
com/technology/archive/2010/10/benoit-m<strong>and</strong>elbrot-themaverick-1924-2010/64684/.<br />
Terdik:2009:LFF<br />
[TG09] György Terdik <strong>and</strong> Tibor Gyires. Lévy flights <strong>and</strong> fractal modeling<br />
<strong>of</strong> Internet traffic. IEEE/ACM Transactions on Networking,
REFERENCES 189<br />
17(1):120–129, February 2009. CODEN IEANEP. ISSN 1063-<br />
6692 (print), 1558-2566 (electronic).<br />
Thiebaut:1988:FDI<br />
[Thi88] Dominique Thiebaut. From the fractal dimension <strong>of</strong> the intermiss<br />
gaps to the cache-miss ratio. IBM Journal <strong>of</strong> Research <strong>and</strong><br />
Development, 32(6):796–803, November 1988. CODEN IBMJAE.<br />
ISSN 0018-8646 (print), 2151-8556 (electronic).<br />
Thiebaut:1989:FDC<br />
[Thi89] D. Thiebaut. On the fractal dimension <strong>of</strong> computer programs<br />
<strong>and</strong> its application to the prediction <strong>of</strong> the cache miss ratio.<br />
IEEE Transactions on Computers, 38(7):1012–1026, July<br />
1989. CODEN ITCOB4. ISSN 0018-9340 (print), 1557-<br />
9956 (electronic). URL http://ieeexplore.ieee.org/stamp/<br />
stamp.jsp?tp=&arnumber=30852.<br />
Tiihonen:1997:CBR<br />
[TKR + 97] J. Tiihonen, J. Kuikka, P. Räsänen, U. Lepola, H. Koponen,<br />
A. Liuska, A. Lehmusvaara, P. Vainio, M. Könönen,<br />
K. Bergström, M. Yu, I. Kinnunen, K. ˚Akerman, J. Karhu, et al.<br />
Cerebral benzodiazepine receptor binding <strong>and</strong> distribution in generalized<br />
anxiety disorder: a fractal analysis. Molecular Psychiatry,<br />
2(6):463–471, October 23, 1997. CODEN ???? ISSN<br />
???? URL http://www.nature.com/mp/journal/v2/n6/pdf/<br />
4000329a.pdf.<br />
Termonia:1986:FFC<br />
[TM86] Yves Termonia <strong>and</strong> Paul Meakin. Formation <strong>of</strong> fractal cracks<br />
in a kinetic fracture model. Nature, 320(6061):429–431, April 3,<br />
1986. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v320/n6061/pdf/320429a0.pdf.<br />
Taylor:1999:FAP<br />
[TMJ99] Richard P. Taylor, Adam P. Micolich, <strong>and</strong> David Jonas. Fractal<br />
analysis <strong>of</strong> Pollock’s drip paintings. Nature, 399(6735):422, June<br />
3, 1999. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v399/n6735/full/399422a0.html.
REFERENCES 190<br />
Taylor:2006:FAR<br />
[TMJ06] R. P. Taylor, A. P. Micolich, <strong>and</strong> D. Jonas. Fractal analysis:<br />
Revisiting Pollock’s drip paintings (reply). Nature, 444(7119):<br />
E10–E11, November 29, 2006. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v444/n7119/full/nature05399.html.<br />
Turiel:2006:NME<br />
[TPVG06] Antonio Turiel, Conrad J. Pérez-Vicente, <strong>and</strong> Jacopo Grazzini.<br />
Numerical methods for the estimation <strong>of</strong> multifractal singularity<br />
spectra on sampled data: a comparative study. Journal<br />
<strong>of</strong> Computational Physics, 216(1):362–390, July 20, 2006. CO-<br />
DEN JCTPAH. ISSN 0021-9991 (print), 1090-2716 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0021999105005565.<br />
Tang:2010:FIR<br />
[TQ10] Xiutao Tang <strong>and</strong> Cuilu Qu. Facial image recognition based on<br />
fractal image encoding. Bell Labs Technical Journal, 15(1):209–<br />
214, June 2010. CODEN BLTJFD. ISSN 1538-7305.<br />
Turcotte:1985:CLF<br />
[TSS85] D. L. Turcotte, R. F. Smalley, <strong>and</strong> Sara A. Solla. Collapse <strong>of</strong><br />
loaded fractal trees. Nature, 313(6004):671–672, February 21,<br />
1985. CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687<br />
(electronic). URL http://www.nature.com/nature/journal/<br />
v313/n6004/pdf/313671a0.pdf.<br />
Tsujii:2008:FMT<br />
[Tsu08] Kaoru Tsujii. Fractal materials <strong>and</strong> their functional properties.<br />
Polymer Journal, 40(9):785–799, May 28, 2008. CODEN ????<br />
ISSN ???? URL http://www.nature.com/pj/journal/v40/n9/<br />
abs/pj2008129a.html.<br />
Titkov:1996:SBF<br />
[TTMB96] Bronislav Titkov, Anatoli Tikhotskij, Alex<strong>and</strong>r Myboroda, <strong>and</strong><br />
Helmut Buley. Structure-based fractal image coding. Proceedings<br />
<strong>of</strong> the SPIE — The International Society for Optical Engineering,<br />
2952(??):652–663, ???? 1996. CODEN ???? ISSN ????
REFERENCES 191<br />
Tang:2011:ESP<br />
[TW11] Lian Tang <strong>and</strong> Da Hui Wang. An explanation <strong>of</strong> the shift parameter<br />
ρ in the Zipf–M<strong>and</strong>elbrot law. Beijing Shifan Daxue Xuebao,<br />
47(1):97–100, ???? 2011. CODEN BSDKDH. ISSN 0476-0301.<br />
Uhl:1996:PIC<br />
[UH96] A. Uhl <strong>and</strong> J. Hammerle. Parallel image compression on a workstation<br />
cluster using PVM. In Bode et al. [BDLS96], pages 301–<br />
?? CODEN ???? ISBN 3-540-61779-5. ISSN 0302-9743 (print),<br />
1611-3349 (electronic). LCCN QA76.58.E975 1996.<br />
Uthayakumar:2007:ACF<br />
[UP07] R. Uthayakumar <strong>and</strong> P. Paramanathan. An algorithm for computing<br />
fractal dimension <strong>of</strong> rectifiable irregular graphs. Applied<br />
Mathematics <strong>and</strong> Computation, 190(1):305–308, July 1,<br />
2007. CODEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649<br />
(electronic). URL http://www.sciencedirect.com/science/<br />
article/pii/S0096300307000501.<br />
Vallee:2011:BMF<br />
[Val11] Robert Vallée. Benoît M<strong>and</strong>elbrot — further notes. Kybernetes,<br />
40(9–10):??, ???? 2011. CODEN KBNTA3.<br />
ISSN 0368-492X (print), 1758-7883 (electronic). URL http:<br />
//www.emeraldinsight.com/journals.htm?issn=0368-492X&<br />
volume=40&issue=9/10&articleid=17003220.<br />
Vanraan:1990:FDC<br />
[Van90] A. F. J. Vanraan. Fractal dimension <strong>of</strong> co-citations. Nature, 347<br />
(6294):626, October 18, 1990. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v347/n6294/pdf/347626a0.pdf.<br />
VanLoocke:2009:NLI<br />
[Van09] Philip Van Loocke. Non-linear iterated function systems <strong>and</strong><br />
the creation <strong>of</strong> fractal patterns over regular polygons. Computers<br />
<strong>and</strong> Graphics, 33(6):698–704, December 2009. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S009784930900082X.<br />
VanLoocke:2010:CBO<br />
[Van10] Philip Van Loocke. Combination <strong>of</strong> basic origami with fractal iteration.<br />
Computers <strong>and</strong> Graphics, 34(1):66–71, February 2010. CO-
REFERENCES 192<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849309001149.<br />
Verklan:1998:QNH<br />
[VBM98] M. Terese Verklan, David R. Bickel, <strong>and</strong> Jon Moon. Quantification<br />
<strong>of</strong> neonatal heart rate variability from 26–35 weeks postconceptional<br />
age using the fractal dimension as estimated <strong>by</strong> dispersional<br />
analysis 1172. Pediatric Research, 43(4s):201, April<br />
1998. CODEN ???? ISSN ???? URL http://www.nature.<br />
com/pr/journal/v43/n4s/full/pr19981320a.html.<br />
Vijayaraman:1996:PTS<br />
[VBMS96] T. M. Vijayaraman, Alej<strong>and</strong>ro P. Buchmann, C. Mohan, <strong>and</strong><br />
N<strong>and</strong>lal L. Sarda, editors. Proceedings <strong>of</strong> the twenty-second international<br />
Conference on Very Large Data Bases, September 3–6,<br />
1996, Mumbai (Bombay), India. Morgan Kaufmann Publishers,<br />
Los Altos, CA 94022, USA, 1996. ISBN 1-55860-382-4. LCCN<br />
QA76.9D3 I559 1996.<br />
Voss:1975:NMS<br />
[VC75] R. F. Voss <strong>and</strong> J. Clarke. 1/f noise in music <strong>and</strong> speech. Nature,<br />
258(5533):317–318, November 27, 1975. CODEN ???? ISSN<br />
???? URL http://www.nature.com/nature/journal/v258/<br />
n5533/pdf/258317a0.pdf.<br />
Voss:1978:NMM<br />
[VC78] R. F. Voss <strong>and</strong> J. Clarke. 1/f noise in music: Music from 1/f<br />
noise. Journal <strong>of</strong> the Acoustical Society <strong>of</strong> America, 63(??):258–<br />
263, ???? 1978. CODEN JASMAN. ISSN 0001-4966.<br />
Vlcek:1986:FAL<br />
[VC86] J. Vlcek <strong>and</strong> E. Cheung. Fractal analysis <strong>of</strong> leaf shapes. Canadian<br />
Journal <strong>of</strong> Forest Research, 16(1):124–127, 1986. CODEN ????<br />
ISSN ???? URL http://www.nrcresearchpress.com/doi/abs/<br />
10.1139/x86-020.<br />
Vailati:2011:FFD<br />
[VCM + 11] Alberto Vailati, Roberto Cerbino, Stefano Mazzoni, Christopher<br />
J. Takacs, David S. Cannell, Marzio Giglio, et al. Fractal<br />
fronts <strong>of</strong> diffusion in microgravity open. Nature Communications,<br />
2(4):290, April 19, 2011. CODEN NCAOBW. ISSN
REFERENCES 193<br />
2041-1723 (electronic). URL http://www.nature.com/ncomms/<br />
journal/v2/n4/full/ncomms1290.html.<br />
Viennot:1989:CAR<br />
[VEJA89] Xavier Gerard Viennot, Georges Eyrolles, Nicolas Janey, <strong>and</strong> Didier<br />
Arqués. Combinatorial analysis <strong>of</strong> ramified patterns <strong>and</strong><br />
computer imagery <strong>of</strong> trees. Computer Graphics, 23(3):31–40,<br />
July 1989. CODEN CGRADI, CPGPBZ. ISSN 0097-8930.<br />
URL http://www.acm.org:80/pubs/citations/proceedings/<br />
graph/74333/p31-viennot/.<br />
Veitch:2005:MTI<br />
[VHA05] Darryl Veitch, Nicolas Hohn, <strong>and</strong> Patrice Abry. Multifractality in<br />
TCP/IP traffic: the case against. Computer Networks (Amsterdam,<br />
Netherl<strong>and</strong>s: 1999), 48(3):293–313, June 21, 2005. CODEN<br />
???? ISSN 1389-1286 (print), 1872-7069 (electronic).<br />
VanLoocke:2006:SBF<br />
[VJ06] Philip Van Loocke <strong>and</strong> Yannick Joye. Symmetry breaking in<br />
fields as a methodology for three-dimensional fractal form generation.<br />
Computers <strong>and</strong> Graphics, 30(5):843–853, October 2006. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849306001324.<br />
Vlad:1994:SRG<br />
[Vla94] Marcel Ovidiu Vlad. Stochastic renormalization group approach<br />
to r<strong>and</strong>om point processes. A fractal generalization <strong>of</strong> Poisson<br />
statistics. Journal <strong>of</strong> Mathematical Physics, 35(2):796–807,<br />
February 1994. CODEN JMAPAQ. ISSN 0022-2488 (print),<br />
1089-7658 (electronic), 1527-2427. URL http://jmp.aip.org/<br />
resource/1/jmapaq/v35/i2/p796_s1.<br />
Vlad:1995:GFA<br />
[VM95] Marcel Ovidiu Vlad <strong>and</strong> Michael C. Mackey. Generating functional<br />
approach to multichannel parallel relaxation with application<br />
to the problem <strong>of</strong> direct energy transfer in fractal systems<br />
with dynamic disorder. Journal <strong>of</strong> Mathematical Physics,<br />
36(4):1834–1853, April 1995. CODEN JMAPAQ. ISSN 0022-2488<br />
(print), 1089-7658 (electronic), 1527-2427.
REFERENCES 194<br />
Vuori:1998:MES<br />
[VM98] Harri Vuori <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. The M<strong>and</strong>elbrot echoes:<br />
for symphony orchestra, 1995. Edition Love, Helsinki, Finl<strong>and</strong>,<br />
1998. LCCN M1045.V96 M36 1998. 1 score (65).<br />
Voldman:1983:FNS<br />
[VMH + 83] Jean Voldman, Benoît M<strong>and</strong>elbrot, Lee W. Hoevel, Joshua<br />
Knight, <strong>and</strong> Philip L. Rosenfeld. Fractal nature <strong>of</strong> s<strong>of</strong>tware-cache<br />
interaction. IBM Journal <strong>of</strong> Research <strong>and</strong> Development, 27(2):<br />
164–170, March 1983. CODEN IBMJAE. ISSN 0018-8646 (print),<br />
2151-8556 (electronic).<br />
Vojta:1989:BRB<br />
[Voj89] G. Vojta. Book review: Benoît B. M<strong>and</strong>elbrot. Die fraktale<br />
Geometrie der Natur. Birkhäuser Verlag, Basel, Boston, 1987,<br />
491 S., zahlreiche Abb. und Tab., SFr98.–, ISBN 3-7643-1771-<br />
X. Crystal Research <strong>and</strong> Technology, 24(2):166, February 1989.<br />
CODEN ???? ISSN ???? URL http://onlinelibrary.wiley.<br />
com/doi/10.1002/crat.2170240207/abstract.<br />
VanDamme:1986:FVF<br />
[VOL + 86] Henri Van Damme, François Obrecht, Pierre Levitz, L. Gatineau,<br />
<strong>and</strong> Claude Laroche. Fractal viscous fingering in clay slurries. Nature,<br />
320(6064):731–733, April 24, 1986. CODEN NATUAS. ISSN<br />
0028-0836 (print), 1476-4687 (electronic). URL http://www.<br />
nature.com/nature/journal/v320/n6064/pdf/320731a0.pdf.<br />
Vormoor:2002:LSF<br />
[Vor02] Oliver Vormoor. Large scale fractal aggregates using the tunable<br />
dimension cluster-cluster aggregation. Computer Physics<br />
Communications, 144(2):121–129, April 1, 2002. CODEN<br />
CPHCBZ. ISSN 0010-4655 (print), 1879-2944 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S001046550200142X.<br />
Voss:1979:FNB<br />
[Vos79] R. F. Voss. 1/f (flicker) noise: a brief review. In ????, editor, Proceedings<br />
<strong>of</strong> the Annual Symposium on Frequency Control (32nd)<br />
Held in Atlantic City, New Jersey on 31 May–2 June 1978, pages<br />
40–46. Electronic Industries Association, Washington, DC, USA,<br />
1979. ISBN ???? LCCN TK7872.O7 F72 1978.
REFERENCES 195<br />
Voss:1986:RFC<br />
[Vos86] R. F. Voss. R<strong>and</strong>om fractals: Characterization <strong>and</strong> measurement.<br />
Physica Scripta, T13(??):27–32, ???? 1986. CODEN PHSTBO.<br />
ISSN 0031-8949 (print), 1402-4896 (electronic).<br />
Vrscay:1986:JSM<br />
[Vrs86] Edward R. Vrscay. Julia sets <strong>and</strong> M<strong>and</strong>elbrot-like sets associated<br />
with higher order Schröder rational iteration functions: a<br />
computer assisted study. Mathematics <strong>of</strong> Computation, 46(173):<br />
151–169, January 1986. CODEN MCMPAF. ISSN 0025-5718<br />
(print), 1088-6842 (electronic).<br />
stable/2008220.<br />
URL http://www.jstor.org/<br />
vanWijk:1991:SNT<br />
[vW91] Jarke J. van Wijk. Spot noise: texture synthesis for<br />
data visualization. Computer Graphics, 25(4):309–318, July<br />
1991. CODEN CGRADI, CPGPBZ. ISSN 0097-8930.<br />
URL http://www.acm.org:80/pubs/citations/proceedings/<br />
graph/122718/p309-van_wijk/.<br />
Wainer:1988:GFL<br />
[Wai88] M. Wainer. Generating fractal-like surfaces on general purpose<br />
mesh-connected computers. IEEE Transactions on Computers,<br />
37(7):882–886, July 1988. CODEN ITCOB4. ISSN 0018-9340<br />
(print), 1557-9956 (electronic). URL http://ieeexplore.ieee.<br />
org/stamp/stamp.jsp?tp=&arnumber=2238.<br />
Walter:1996:OFC<br />
[Wal96] Malcolm Walter. Old fossils could be fractal frauds. Nature, 383<br />
(6599):385–386, October 3, 1996. CODEN NATUAS. ISSN 0028-<br />
0836 (print), 1476-4687 (electronic). URL http://www.nature.<br />
com/nature/journal/v383/n6599/pdf/383385a0.pdf.<br />
West:1999:FDL<br />
[WBE99] Ge<strong>of</strong>frey B. West, James H. Brown, <strong>and</strong> Brian J. Enquist.<br />
The fourth dimension <strong>of</strong> life: Fractal geometry <strong>and</strong> allometric<br />
scaling <strong>of</strong> organisms. Science, 284(5420):1677–1679, June<br />
4, 1999. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-9203<br />
(electronic). URL http://www.sciencemag.org/content/284/<br />
5420/1677.full.pdf.
REFERENCES 196<br />
Wang:2006:RFS<br />
[WC06] Xingyuan Wang <strong>and</strong> Peijun Chang. Research on fractal<br />
structure <strong>of</strong> generalized M–J sets utilized Lyapunov exponents<br />
<strong>and</strong> periodic scanning techniques. Applied Mathematics<br />
<strong>and</strong> Computation, 175(2):1007–1025, April 15, 2006. CO-<br />
DEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300305006582.<br />
Wang:2003:DRT<br />
[WCH03] Ching-Te Wang, Tung-Shou Chen, <strong>and</strong> Shao-Hau He. Detecting<br />
<strong>and</strong> restoring the tampered images based on iteration-free fractal<br />
compression. The Journal <strong>of</strong> Systems <strong>and</strong> S<strong>of</strong>tware, 67(2):131–<br />
140, August 15, 2003. CODEN JSSODM. ISSN 0164-1212 (print),<br />
1873-1228 (electronic).<br />
Westgaard:1994:MA<br />
[Wes94] Odin Westgaard. A M<strong>and</strong>elbrot analog. Performance + Instruction,<br />
33(8):14–16, September 1994. CODEN ???? ISSN<br />
???? URL http://onlinelibrary.wiley.com/doi/10.1002/<br />
pfi.4160330805/abstract.<br />
Werner:2012:MDK<br />
[WGKS12] T. R. Werner, T. Gubiec, R. Kutner, <strong>and</strong> D. Sornette. Mechanisms<br />
<strong>of</strong> Dragon–Kings modeling <strong>of</strong> super-extreme events: An application<br />
to the hierarchical Weierstrass–M<strong>and</strong>elbrot continuoustime<br />
r<strong>and</strong>om walk. European Physical Journal — Special Topics,<br />
205:27–52, ???? 2012. CODEN ???? ISSN 1951-6355 (print),<br />
1951-6401 (electronic).<br />
Williams:1997:BFG<br />
[Wil97] Nigel Williams. Biology: Fractal geometry gets the measure <strong>of</strong><br />
life’s scales. Science, 276(5309):34, April 4, 1997. CODEN SCI-<br />
EAS. ISSN 0036-8075 (print), 1095-9203 (electronic). URL http:<br />
//www.sciencemag.org/content/276/5309/34.full.<br />
Winslett:2005:CFS<br />
[Win05] Marianne Winslett. Christos Faloutsos speaks out: on power<br />
laws, fractals, the future <strong>of</strong> data mining, sabbaticals, <strong>and</strong> more.<br />
SIGMOD Record (ACM Special Interest Group on Management<br />
<strong>of</strong> Data), 34(4):85–89, December 2005. CODEN SRECD8. ISSN<br />
0163-5808 (print), 1943-5835 (electronic).
REFERENCES 197<br />
Woolley:1994:RDP<br />
[WM94] Stuart J. Woolley <strong>and</strong> Donald M. Monro. Rate-distortion performance<br />
<strong>of</strong> fractal transforms for image compression. Fractals,<br />
2(3 (or 6??)):395–398, ???? 1994. CODEN FRACEG. ISSN<br />
0218-348X. URL http://dmsun2.bath.ac.uk:8080/people/<br />
papers/montreal.ps.gz.<br />
Wood:1994:GDC<br />
[Woo94] Christopher M. Wood. General data compression algorithm for<br />
space images using fractal techniques. Proceedings <strong>of</strong> the SPIE<br />
— The International Society for Optical Engineering, 2198(??):<br />
1336–1341, ???? 1994. CODEN ???? ISSN ????<br />
Weitz:1988:FAM<br />
[WSM88] David A. Weitz, Leonard M. (Leonard Michael) S<strong>and</strong>er, <strong>and</strong><br />
Benoît B. M<strong>and</strong>elbrot, editors. Fractal aspects <strong>of</strong> materials: disordered<br />
systems, volume EA–17 <strong>of</strong> Materials Research Society<br />
extended abstracts. Materials Research Society, Pittsburgh, PA,<br />
USA, 1988. LCCN QA447 .F72 1988.<br />
Wolf:2010:FOH<br />
[WT10] E. T. Wolf <strong>and</strong> O. B. Toon. Fractal organic hazes provided an<br />
ultraviolet shield for early Earth. Science, 328(5983):1266–1268,<br />
June 4, 2010. CODEN SCIEAS. ISSN 0036-8075 (print), 1095-<br />
9203 (electronic). URL http://www.sciencemag.org/content/<br />
328/5983/1266.full.pdf.<br />
Wu:1995:RSR<br />
[Wu95] En-Hua Wu. A radiosity solution for r<strong>and</strong>om fractal surfaces.<br />
Journal <strong>of</strong> Visualization <strong>and</strong> Computer Animation, 6(4):219–230<br />
(or 219–229??), October–December 1995.<br />
ISSN 1049-8907.<br />
CODEN JVCAEO.<br />
Wu:1999:MCC<br />
[Wu99] P.-Y. Wu. Minimum communication cost fractal image compression<br />
on PVM. In Dongarra et al. [DLM99], pages 434–441. CO-<br />
DEN ???? ISBN 3-540-66549-8 (s<strong>of</strong>tcover). ISSN 0302-9743<br />
(print), 1611-3349 (electronic). LCCN QA76.58 E973 1999.<br />
Wang:2008:INS<br />
[WW08] Xing-Yuan Wang <strong>and</strong> Shu-Guo Wang. An improved no-search<br />
fractal image coding method based on a modified gray-level trans-
REFERENCES 198<br />
form. Computers <strong>and</strong> Graphics, 32(4):445–450, August 2008. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0097849308000320.<br />
Wong:2005:FEF<br />
[WWGF05] Angeline Wong, Leejay Wu, Phillip B. Gibbons, <strong>and</strong> Christos<br />
Faloutsos. Fast estimation <strong>of</strong> fractal dimension <strong>and</strong> correlation<br />
integral on stream data. Information Processing Letters, 93(2):<br />
91–97, January 31, 2005. CODEN IFPLAT. ISSN 0020-0190<br />
(print), 1872-6119 (electronic).<br />
Wang:1992:FNE<br />
[WY92] Bennan Wang <strong>and</strong> Shi Yin. The fractal nature <strong>of</strong> an ecological<br />
model. Computer Graphics Forum, 11(1):61–64, March 1992. CO-<br />
DEN CGFODY. ISSN 0167-7055 (print), 1467-8659 (electronic).<br />
Wang:1996:PIF<br />
[WY96] Zhou Wang <strong>and</strong> Ying-Lin Yu. Partial iterated function systembased<br />
fractal image coding. Proceedings <strong>of</strong> the SPIE — The International<br />
Society for Optical Engineering, 2751(??):42–49, ????<br />
1996. CODEN ???? ISSN ????<br />
Xingyuan:2009:GMS<br />
[XRZ09] Wang Xingyuan, Jia Ruihong, <strong>and</strong> Zhang Zhenfeng. The generalized<br />
M<strong>and</strong>elbrot set perturbed <strong>by</strong> composing noise <strong>of</strong> additive<br />
<strong>and</strong> multiplicative. Applied Mathematics <strong>and</strong> Computation,<br />
210(1):107–118, April 1, 2009. CODEN AMHCBQ. ISSN<br />
0096-3003 (print), 1873-5649 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0096300308009119.<br />
Xingyuan:2007:VGF<br />
[XX07] Wang Xingyuan <strong>and</strong> Yu Xuejing. Visualizing generalized 3x +<br />
1 function dynamics based on fractal. Applied Mathematics<br />
<strong>and</strong> Computation, 188(1):234–243, May 1, 2007. CODEN<br />
AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300306013439.<br />
Ye:2002:ACO<br />
[Ye02] Ruisong Ye. Another choice for orbit traps to generate artistic<br />
fractal images. Computers <strong>and</strong> Graphics, 26(4):629–633, August
REFERENCES 199<br />
??, 2002. CODEN COGRD2. ISSN 0097-8493 (print), 1873-<br />
7684 (electronic). URL http://www.elsevier.com/gej-ng/10/<br />
13/20/68/55/44/abstract.html.<br />
Young:1993:ICP<br />
[YHHS93] Bong Kim Young, Sub Kim Hoi, Oh Kim Hong, <strong>and</strong> Yong Shin<br />
Sung. Infinite-corner-point fractal image generation <strong>by</strong> Newton’s<br />
method for solving exp(−αζ + Z/ζ − Z) − 1=0. Computers<br />
<strong>and</strong> Graphics, 17(6):705–711, November–December 1993. CO-<br />
DEN COGRD2. ISSN 0097-8493 (print), 1873-7684 (electronic).<br />
Yu:2009:SFM<br />
[YJ09] Zhibin Yu <strong>and</strong> Hai Jin. Simple <strong>and</strong> fast micro-architecture simulation:<br />
a trisection Cantor fractal approach. ACM SIGMETRICS<br />
Performance Evaluation Review, 37(2):61–62, September 2009.<br />
CODEN ???? ISSN 0163-5999 (print), 1557-9484 (electronic).<br />
Yekutieli:1994:HSO<br />
[YM94] Iddo Yekutieli <strong>and</strong> Benoît B. M<strong>and</strong>elbrot. Horton–Strahler ordering<br />
<strong>of</strong> r<strong>and</strong>om binary trees. Journal <strong>of</strong> Physics A (Mathematical<br />
<strong>and</strong> General), 27(2):285–293, ???? 1994. CODEN JPHAC5. ISSN<br />
0305-4470 (print), 1361-6447 (electronic). URL http://stacks.<br />
iop.org/0305-4470/27/285.<br />
Yekutieli:1994:SSB<br />
[YMK94] Iddo Yekutieli, Benoît B. M<strong>and</strong>elbrot, <strong>and</strong> Henry Kaufman. Selfsimilarity<br />
<strong>of</strong> the branching structure in very large DLA clusters<br />
<strong>and</strong> other branching fractals. Journal <strong>of</strong> Physics A (Mathematical<br />
<strong>and</strong> General), 27(2):275–284, ???? 1994. CODEN JPHAC5. ISSN<br />
0305-4470 (print), 1361-6447 (electronic). URL http://stacks.<br />
iop.org/0305-4470/27/275.<br />
Yue:2010:FFR<br />
[Yue10] Hong Yue. A fractal function related to the John–Nirenberg inequality<br />
for Qα(R n ). Canadian Journal <strong>of</strong> Mathematics = Journal<br />
canadien de mathématiques, 62(5):1182–1200, October 2010.<br />
CODEN CJMAAB. ISSN 0008-414X (print), 1496-4279 (electronic).<br />
Wang:2007:APG<br />
[yWjCnG07] Xing yuan Wang, Pei jun Chang, <strong>and</strong> Ni ni Gu. Additive<br />
perturbed generalized M<strong>and</strong>elbrot–Julia sets. Applied Mathematics<br />
<strong>and</strong> Computation, 189(1):754–765, June 1, 2007. CO-
REFERENCES 200<br />
DEN AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300306016535.<br />
Zaanen:2010:HTS<br />
[Zaa10] Jan Zaanen. High-temperature superconductivity: The benefit<br />
<strong>of</strong> fractal dirt. Nature, 466(7308):825–827, August 11, 2010.<br />
CODEN NATUAS. ISSN 0028-0836 (print), 1476-4687 (electronic).<br />
URL http://www.nature.com/nature/journal/v466/<br />
n7308/full/466825a.html.<br />
Zakeri:2006:BPM<br />
[Zak06] Saeed Zakeri. On biaccessible points <strong>of</strong> the M<strong>and</strong>elbrot set.<br />
Proceedings <strong>of</strong> the American Mathematical Society, 134(8):2239–<br />
2250, August 2006. CODEN PAMYAR. ISSN 0002-9939 (print),<br />
1088-6826 (electronic).<br />
4098261.<br />
URL http://www.jstor.org/stable/<br />
Zhao:2009:SNF<br />
[Zha09] Hong Zhao. Some new fractals behaviors in (2 + 1)dimensional<br />
integrable system. Applied Mathematics <strong>and</strong> Computation,<br />
215(5):1653–1658, November 1, 2009. CODEN<br />
AMHCBQ. ISSN 0096-3003 (print), 1873-5649 (electronic).<br />
URL http://www.sciencedirect.com/science/article/pii/<br />
S0096300309006651.<br />
Zahlten:1990:FHE<br />
[ZPSJ90] Cornelia Zahlten, Heinz-Otto Peitgen, Dietmar Saupe, <strong>and</strong><br />
H. (Hartmut) Jürgens. Fractals: an animated discussion. Films<br />
for the humanities <strong>and</strong> sciences, Princeton, NJ, USA, 1990. ISBN<br />
0-7365-6093-9. LCCN QA614.86 .F76 2003. One DVD (63 min).<br />
Zair:1996:FMU<br />
[ZT96] Chems Eddine Zair <strong>and</strong> Eric Tosan. Fractal modeling using free<br />
form techniques. Computer Graphics Forum, 15(3):C269–C278,<br />
September 1996. CODEN CGFODY. ISSN 0167-7055 (print),<br />
1467-8659 (electronic).<br />
Zhu:2006:AFT<br />
[ZWZL06] Xuegui Zhu, Yi Wang, Jianming Zan, <strong>and</strong> Chuanbing Li. Application<br />
<strong>of</strong> fractal theory in generation <strong>and</strong> refinement <strong>of</strong> finite<br />
element mesh. Applied Mathematics <strong>and</strong> Computation,<br />
175(2):1039–1045, April 15, 2006. CODEN AMHCBQ. ISSN
REFERENCES 201<br />
0096-3003 (print), 1873-5649 (electronic). URL http://www.<br />
sciencedirect.com/science/article/pii/S0096300305006600.<br />
Zhao:1994:ICU<br />
[ZY94] Y. Zhao <strong>and</strong> B. Yuan. Image compression using fractals <strong>and</strong> discrete<br />
cosine transform. Electronics Letters, 30(6):474–475, March<br />
1994. CODEN ELLEAK. ISSN 0013-5194.<br />
Zhang:1996:HFI<br />
[ZZZ + 96] Zhengbing Zhang, Yaoting Zhu, Guangxi Zhu, Hanqiang Cao,<br />
<strong>and</strong> Donghui Xue. Hybrid fractal image coding method. Proceedings<br />
<strong>of</strong> the SPIE — The International Society for Optical Engineering,<br />
2727(??):1360–1366, ???? 1996. CODEN ???? ISSN<br />
????