PHILIPPE FLAJOLET's RESEARCH PAPERS

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You're welcome to some recent (...and not so recent) work of Philippe.Flajolet@inria.fr in electronic form.
These are in postscript and pdf format, also compressed with GNU's gzip. These documents are for preview. They correspond to versions submitted (without copy editing, before refereeing, etc). Consequently, they only represent a rough approximation to the published versions to which you are encouraged to refer. See the publication list for a complete listing of my paper publications.

2010 Happy 2010!

Amputer aicabecie > Iti29Nick(1/2), "n01, pp. 307-369.o(oaoltioys &phich yo avai,aglelh. Ckhm INRIAersptente | eFlarxiv.RR-3645.p"../p".ente] ../y2k.gi../ILe3>zze=-1 ="B eFlarxiv.FlVa0 C="../ C non, genFrating a, Cra,tsmaombAmputer al, acdndine Smit dist Cnnststru.NiBe Plet, and Tony acdnBSegit s Vent&eac qu;ep e>arsAnorithm"UL> M. Ts&eac qu;raeEe., (e>kIb>27Nick, Amst. M>ns.dSoc.ajPalv walow),spp. 53-82.o(Volum co uA hon,ursPo Jretthan Borwei y) Thhm hmsan coltioys &phich yo thoINRIAersptente]. ="BeFlarxiv.Fl TonyGuilonioy.ps.gz./uTubuFomprl1TuAtdl Theory, Secs, ttmaCrnon, genFrating a (145kb),NiBe Plet, and Tony acdnFabtore Guilonioy. of CoAdvancasb chAp oiednPalgorithtyUL>be(3), ag00,lpp. 750-778HRoaoltioys &phich yo thoINRIAersptente | eFlarxiv.RR-3667.p"../p".ente] e="BeFlarxiv.MaFlJaRe98.ps.gz./uAnatoriclVs, n,blisooneBucke dSelent psacd Sat, Ph (121kb)ente, Hosa sMahmoud,bolet, and Tony Golet, anJacquny GcentMir.ilon R&eac qu;gniA H e>ptente] <="B eFlarxiv.RR3914.ps.gz./uAnatoricl Theory, Secs ial hlrniDiagr>ms (261k)Hams coutioFomprl1P mathAmpnbraic Canombinatoriions., ag00,lpp. 191-201 (D. Kalg, A. A. Mikhalev, A. V. MikhaleveEe rors; Sghi gst Viclag.noalc.eofyFPSAC'ag00,lJunsa2g00,lMoscow).ond comp avai,aglelh. Ckhm INRIAeItiRR3914Nick, Mn an ag00d [ptente | :/larxivFlNo0 C="./p".ente]] 1999 ILe3>zze="B eFlarxiv.RR3196.ps.gz./uAnatoricl Theory, Secs ialNon- fo's Ph Cthfigctae Fls (146kb), ente o.nd Tony GM. Noy. e>nstants,r a cyIti204Nick(1-3), 1999, 203-229 (Selentalkpytic c cohon,rsPo Hen &pW. Gould).ond hich yo avai,aglelh. Ckhm an coltioys &phich yo: INRIAeItiRR3196Nick, Junsa1997.pa2bmitte. [ptente] <="B://arxiv.org/absti)k.sghi gst.desti)k/serv ce/jbinatos/00454/bibs/22n1p105es PolRion, sT, nigult> and Tliss [tbimi la]. r>Be L. Devroye 2P.nd Tony GF. Hurtado GM. Noy,aW.tSteinA HR ecie >Dmatics."ttmaCra, qiscrete Gc..aandbecie > Iti22 ck, pp 105-117 (1999) Shoscndo a to Sghi gst's serv ce > torresztubtures.htmorg/absti)k.sghi gst.desti)k/serv ce/jbinatos/00454/lytic /22n1p105e="../ fun dtext hn p".ente. ze="BeFlarxiv.stiroi n2es nstants,r a cente Iti12Nick:2, 1999, pp. 155-159.tThe o oltioys &phich yo Pofat alh. Ckis INRIAersporr ItiRR3373Nick, Mn an 1998 p5 mitte" [ptente] ="BeFlarxiv.Fl Tony98a.ps.gz./ Salysis, saddle poinkong th By z, aBern,ulliksumrNiBe, Plet, and Tonyo e>ptente] 1998 ILe3>zz ="B eFlarxiv.FlPoVi98.p"../uOn tes Anorithms, aLi)>arsPalgi n Hasut n ente olet, and Tony P>tSecio1PAmputer aicabecie > Iti22 ck, (D fe0. 1998),spp. 490-515. (SvoidingIssue onhAnorithms, aAmputer aly) <="B eFlarxiv.FlSa98.p"../uEuluadSums ttmaCrno,ursIcl rspcoapprae Fls. r>Be2P.nd Tonykong Ires.htmlorg/abswww-alcq.inSem.fr/ampu5salvysindexes nstants,rUL>kvolum Iti7Nick(1), 1998, pp. 15-35 pwh. C it hm tures.htmlorg/abswww.exp,6195exp/volum s/7/7es Lectuyata ubu7. Tcnn). Cncec "FibFlscci N P. a acd Ap oicae Fls", Graz, July 1996. ="BeFlarxiv.ClFlVa98.p"../Tes Anorithms, aHybridsT iad Smit distr ULA> p Ires.htmlorg/abswww.inco.u> polet, and Tony, ures.htmlorg/abswww.inco.u> oalceeat ns of ubuNil ubACM_SIAM Sodsosiumcom Dmatics."Amputer al (SODA'98),sSanyFtincmato, Janu> &p1998, pp. 531-539. zz ="B eFlarxiv.tmpack5.ps.gz./uTubuMaximums, aatRion, sWalkcocdnIru Ap oicae Fl to R>LedlglasP ckt n (98kb), ente E.~G.~CPofma Flolet, and Tony Leopoldnd tto GcentMicha Hofri.o ecie >oalgorithsad coEngumaert neacd Incompre Fl raScillows cie > Iti12Nick (1998), pp. 373-386. nd comp avai,aglelh. Ckhm (INRIA,eItiRR3223Nick), July 1997.p14bmitte." [ptente] 1997 ILe3>zz ="B eFlarxiv.RR2798.ps.gz./uAn a wr. S-cas tlgorithms, a ubuGau'snccu amputer aste ltion, dit aal tre (132kb), ente H. Daud&eac qu; 2P.nd Tony Gkong Ires.htmlorg/abswww.inco.u> Theory, Secs, oalgorithsad ttmaCra, qt n Iti6Nick (4), 1997, pp 397-433.o(oaoltioys &phich yo avai,aglelh. C: INRIA, RR 2798, Fnbru> &p1996.) <="B ea0.pdf">FlSa97.p"../ nd SIGSAM Chente nAs:lSodboric Ah By zhnsoa la ca > d Plet, and Tony acdnBSuno Salvy. o ecie >SIGSAM Bulony c cie > vol Iti31Nick (4), 1997, pitte"36-47. <="B eFlarxiv.RR2997C=s.gz./ P>tt, Pez. (INRIA,eRR2997), Octo. 1996. 23bmitte.ndin rahich yo ap >Hams c e>kvolum 11 (3), Octo. 1997, pp 223-244. <="B eFlarxiv.Fl Tony-EOM-AdapaiveSag oi nC="../Ib>AdapaivesSag oi nNick Bed olet, and Tonyo hnstants,rUL> M. Hazewinkee Ee ror (1997)o hSup oo , p 28.2 sir=-1> Prudent ="-1">N ca! nd whTono">lonting lofyirtdclesain tdehnstants,rUL>s now beenymade Itift eleNick avai,aglelbadSghi gst Viclagyata ubir site: ures.htmlorg/abseom.sghi gst.des011.61org/abseom.sghi gst.desNovember

lor="#FFFFFF011.r11.d> Ires.htmlorg/abswww.googla., c/"=1pIMG SRC">org/abswww.googla., c/logos/Logo_40wht.gi.. b="aer="0" ALT="Googla" alig mlabsmiEule"k Be ng. 255avalue="site:eom.sghi gst.de"e Jo name=btnG VALUE="Googla S/TITL"e 1996 ILe3>zze="B eFlarxiv.l fd>u.ps"> Zeta Fippe FllexGanh yoszial lasss, raCnnststru.NiBe Plet, and Tony acdnI anEVardl. Thhm hmstubu urrnlt edie Fls, adn unsions to bmemo u awadyeevo adacrou n 1990-1992 acdnm>s beenycircult>rna crou n fe la wlete. <="B eFlarxiv.steinA 6.ps.gz./uRion, sT, nigult> [Ext nsmaAbimi la] (138kb), ente L. Devroye 2P.nd Tony GF. Hurtado GM. Noy,aatmaW.tSteinA , 2852), Apsil 1996. 10bmitte. AccepaedafTr co ecie >Dmatics."ttmaCra, qiscrete Gc..aandbecie >. <="B eFlarxiv.DuFl96.p"../uAh By on conbr&eac qu;furrnlcaszmahl mbinatorde Ts&eac qu;oris conbNThestr dn Bo"aeaux Iti8Nick(1), 1996, pp 1-30. Ires.htmlorg/abswww.numdam.6195numdam-eor/fie m?id=JTNB_1996__8_1_1_0MG Prudent "-1"> S..antSeckaddle poinkmea l elucidaesarut nsb ctluat n l ubulsymptotics f P. of sirti/ Flsz cl pow as, a wo (Ires.htmlorg/abswww.rs on an.>t<., c/~njas/sy onlcas/A000123">alys &psirti/ Flsente),etellowt ne ubuleaaeialN. G. dn Bruijn. 1995 ILe3>zze="B eFlarxiv.fg/absfg/.inSem.fr/INRIA/ / te lCtneory, SemodSmit distr,NiBe Plet, and Tony acdn Ires.htmlorg/abswww-alcq.inSem.fr/ampu5salvysindexes Be P.nd Tony GX. Gourdree=o.nDumTed ofCITEobTheShosumes eFlarxiv.FlGo93C="../Ex laeth By z, aciv wa--ind--cTn onr r furrnlca Nite.o e>mmt n te l ubuRion, sGngularity ialLibrm,edaCtneory, Semo Smit distr(362kb), ente P.nd Tony G P.nZimmnso/nn GB.nVecoCutsem, ofCITEoThe Asymptotics NiBe, P.nd Tony GThomos Latte gueHR ecie >Dmatics."ttmaCra, qiscrete Gc..aandbecie > vol 12 (4), 1994, pp 151-175.z 1993ILe3>zze="B eFlarxiv.FlGoPuRo93C="../AnatoriclVs, n,blisooneQuadtlist Bed olet, and Tony GGastoneGdin.y G laudn Puech ttmam.lM. Robsoy. ofcie >Amputer aicabecie > Iti10 ck:7, pp. 473-500,lD fe0. 1993. <="B eFlarxiv.FlGaOdRi93C="../ nd , random tre of height z, aalys &ptlist aatho ubr nam oe1tlistdHR ecie > Theory, Secs, oalgorithsa, ttmaCra, qt n,becie > vol 2 (1993), pp 145-156. e="B eFlarxiv.FlSo93C="../ GctionllCtneory, SemodScstans:lGau'snccuLtionsD random tres ttmaExGons iedsTai,e, r>Be P.nd Tony GM.nSatot. ecie >Dmatics."M vol 114, 1993, pp 159--180.z 1992ULe3>ze="B eFlarxiv.aaa.ps.gz./uAnatoriclAnorithms, aAmputer al (378kb)y,r>Be Plet, and Tony. o vie al">Lectuygivenyata ubu19thuIommt npt (2727kb)ente] e="B eFlarxiv.BeFlSa92.p"../../Indom/new1.gi../ Vs, et

PolInclkas Ph Tlist<,r>Be F.aBergston 2P.nd Tony Gacd B.noalceeat ns of pubt17tdl TlloquiumooneETliss b chAmpnbra acd oalgr>mmt n 2RpnnAs, Ftince, Fnbru> &p1992.eeoalceeat ns sions to b foeCITEo SRC="t Notasb foaCra, quadScillowbeCITEopvol. aIti581Nick, J.-C.nRaoulteEe., 1992, pp. 24-48. HREFul e Prudent = "-1"> Thhm sions. hmsaclext nsmaatbimi lae u aawadypcoappremae e ubulast issue of pub s

of cnn). Cnces combptlist inandn, quaddscillow (CAAP).tThe Caj/eo"> tobt alys &,utr .nctioal" (i.e., nyknowa-degree is splowo ). tThhm tovatsha f P. ofycmningsuuo ah> wgsur, loalh. C acdn ubr cocnd duadscillowyjthome lutsa hn p tgorithsaduoAHamslt>r ajthoha nam oe mningb, adcquaum,stcA n.yippeti=/enoe1k algorithmss wouldurreszit mn C e l=lU'sethohan linststcA s, a ubu Chinese ostsurttt uo tglem G etc. Palglemms co uinkosta ha bbeenyso fars liat albygalvs, esadPosin tran, likes eoems s &plc combinatori G r furrnlca , k algorithms, csin tran (e.g.i=mat, Phaons)acentta minings (cfsMahmoud utndactauthors)o hour sionsaj/eo alv wa stu ifieda uA .tThhm am/ket it possiroe1kto e rameaetsb ctluat n:yroot-degree, f P. ofyleaves o ofynowass, adny fixalkdegree, loreld, random treal >tdl">ng. m acdnso .thr>

radox, CruGonl Tllecso aajCacht neAmputer al acdnSelf-e ganizaly=S/TITLNiBe, e>nstants,rUL> Atu ifiedalrameippe te l ubupalglemmsthmso b fo ub itlb; notbrtousurprisalyl rbas gag ...anction, Philippe Fls. BIT,becie > vol 32, 1992,2pp. 384-402.o e="B eFlarxiv.FlRi92C="../ Gctionlnt gzDegitmodTlist aathTubir Dif). Cnce--dif). Cn ied E osent sNiBe, P.nd Tony GB.nR chmm>dHR ecie >Rion, sSmit distr aathAmputer al,becie > vol 3 (3), 1992,2pp. 305-320.z 1991ILe3>zze="B eFlarxiv.fg/absfg/.inSem.fr/INRIA/ / The 2vol. 79ajno. 1, 1991, pp. 37-109.o e="B eFlarxiv.cycle2.ps.gz./uTubuCycle Cdom ral tre (19kb), ente P.nd Tony GM.nSatot. ecie >SIAM m.bDmati. M>ns.,obecie > vol 4 (1), 1991, pp. 58-60.o e="B eFlarxiv. Be P.nd Tonypo ecie >INRIAers No 1507,lSept10. 1991.y6pp.z 1990ILe3>zze="B ures.htmlViFl9 C="../ A wr. S-Cas tAnorithms, aAmputer al=ong DommuSmit distr, r>Be badJ.nS. VkVolum A:aAmputer al=ong Cng ofxhsad(ee r alby J. vccuLeeuwen), ElsUrrer, 1990, 431-524. o(nd hich yo Pofat alh. Ckis ip. ing,figctp>y) <="B eFlarxiv.FlSiSt9 C="../ AnatoriclVs, n,blisoonetubuCngmm> Subexpcoah yo Palglem, NiBe, P.nd Tony GP.nSipala, acd J-M.tSteyans ,o ecie >oalceeat ns of ubu17tdl CALP Cnn). Cncebecie > 2Warwick>kJuly 1990.oecie > SRC="t Notasb coCra, quadScillow,becie > Vol.yIti443 ck, pp 220-234. <="B eFlarxiv.jcyops.gz./ Gau'snccuLtion PhiD random tres te l ubuN P. of Candons sb coCraeory, SemodSmit distr (57kb)y,r>Be P.nd Tony GM.nSatot. ecie >m.lCaneory, SemodToA A,obecie > vol 53, 1990, pp 165-182.o <="B eFlarxiv.FlOd90be="../ Salysis, saddle poinkPolnction, Philippe Fls SIAM m.bDmatics."M 2 vol 3 (1990)spp 216-240. I!--[eFlarxiv.FlOd90be=s.gz./=sente]--> o <="B eFlarxiv.mats.ps.gz./uRion, sMatot noS. tists, (175kb), ente P.nd Tony GA. Odlyzko. ecie >Advancasb chCryptology,uoalc.eEualcrypt'89,obecie > J-m.bQuis ose Ee., ecie > SRC. Notasb coCra,.nSc.becie >pvol 434, 1990, pp 329-354. <="B eFlarxiv.FlSc9 C="../../Indom/new1.gi../ Non-ovatlatot noPirti/ Fls,aCrnon, genFrating a, Bessel Fippe Fls ttmatbDmv gs S

NiBe, P.nd Tony aathR.nSchotypo ecie >Eualontnumbinatorial Theory, Secs> cie > Vol 11, 1990, pp 412-432. [ptente|Be P.nd Tonypo ecie >Cra, qt n Vol 34, 1990, pp 391-400. Prehhmtzze="B eFlarxiv.FlFr89C="../../Indom/new1.gi../EllipriclFippe Fls,aCrnon, genFrating a acd Do../Indom/new1.gi../DUrrn,blisofr, su iformitee cotion, srand nsbeBed tynd Tony Golet, a, Kirschenhofe , Peaet aathTichy,nRo. dF..o e>rnaFielmar>>ul e Prudent = "-1">Almo y nalerand ns Polsazeh vdirefinein s of uinkosser tre bas gag tdehnottre of dmaticpalcesthome lutsaFllexGlnait nction, Ph fippe FllexGcoah yos te lp>t../Indom/new1.gi../ Rion, sT,e."Mningsrin tes Anorithms, aAalytic co. i>Be BadPlet, and Tonyp IHvie al">Lectu at tes PERFORMANCE'87 Cnn). Cnce,aBrussels, 1988Ceoalceeat ns sions to bbadElsUrrerdScillow oions tors (Norrh Holl fd), P.-m.lCaurtoinkong G. LiooucheeEe rors., pp 171--187. <="B eFlarxiv.Fl Tony88Uat eC="../../Indom/new1.gi../M zE. BörgsteEe ror. Pagp> 225--304. ( SRC="t Notasbte le>kUat e 2 1984)

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../Indom/new1.gi../ Evaluae Fl dn protocoltr dn , cmu> Be Thhm docums ( foF Cnch)u aerssdondme tha pleys &p">Lectu at tes Antus<=MeeSocils."M . Janu> &p1988Ce(S..anfigctp> mi's Phd) [ptente] <="B eFlarxiv.Fl Tony87bC="../../Indom/new1.gi../ AnatoriclMningsraathAcomguisadPosCrnoext-F,e."Lioguitte, r>Be badPlet, and Tonyo e>../Indom/new1.gi../Loreldf P. sy onlcas te l list Be> badd Tony Golet, anacd oaldi gst, Helott. e>nstants,r a cyIti65Nick, 1987, pp 149--156. <="B eFlarxiv.FlJa87C="../../Indom/new1.gi../ Anatoricliningsrte l lis , cmu> Be badP.nd Tony aathP.nJacquny. o A. R. Odoni, L. B nico GcentG. Szegö, edieo aajoecie >Flow Crnoroorial T nAse alN.yippetbecie > 2volum 38eialNATO AdvancadScillow Inm itnge S

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F:aCra, quadacdnSystemsaScillowsajopitte"223-234. Sghi gst Viclag, 1987. ( vie al SRC="t). <="B eFlarxiv lorg/abswww.acm.6195phoseciet> s/jbinatos/jacm/1987-34-2/p289-green. g/./../Indom/new1.gi../ Est mit netes msitiGlnait

of cnn)lnatme thso>eda ubir tp>olu> c msitiGleade,U'sechnin.lsente. Al. dG.nGreen. gFlolet, and Tony aathR chaid E. Lidtio;umbinatorialtes ACM 34, 2 uP (Apr. 1987), Pitte"289-325 (fun dtext te lshoscndo a , aACM'm degitmodlibra y) . <="B eFlarxiv.FlSe86C="../../Indom/new1.gi../nDegitmodS/TITLETliss Rorrsited Bed olet, and Tony aathRo. dSedewick. prudSIAM mbinatorimbCra, qt n Prudent "-1">How thagorite degitmodtlist (aka "t

") P>tSeciastlisti=ond esvoidinladpruddegitmodls.thr>

../Indom/new1.gi../Onoa Fippe Fls<=E osent Arisalyrin tes Anorithms, aa oaltocol fe la Msiti-Ae,U'seBroadcasyuChnin.l Bed Guy Fayom,e, olet, and Tony GcentMicha Hofri.o e CoAdvancasb chAp oiednPalgorithtyUL> Prudent "-1">Cdioaist (they ketTLEof)Twu useemsal bA uA first dmatush yo of rameaetsbialt

(aka "degitmodtlist"). Thhm is tdeh( f)famoumsloge CopUL>tUL>tUL>l. Alsoal ubu fon-lo, ranhai laetrialtes lippe Fls<=y osent (/encouim dub l ", ion, oumsarrivalt") , raalyss tos it fr, susus<=lippe Fls<=y osent s uo aa iseb cot r uelf-puco tolo, racrou n 0.ond l>trnal a svoidinscas tialwu uwouldunowadays bbscadloalafoe CoIFS../Indom/new1.gi../ nd orolm tre of wo stacksb chbou noalspaowyatmation, soow unha t, nigle Prudent "-1">e>mmt nolu> u ainrolvesaCheby tovt

../Indom/new1.gi../ Pirti raTA couraanoeval PosisitidBlys &p wge Cokbe>noinan fentatlis. nd lgorithmsinrolvesastudy Phisalysis, s

of ti)>arsdif). Cn ied systemsas tisfiedaby tubu aerssdond Phinction, Philippe Fls. oI acorealmstds"surprisalyute, t Cnces, aexGons unhasymptoticlexGanh yos uo aa C e Coampnbraicif P. iions. (te linststcA <> sqrt(17) )bte l1/2dps bepoPh netoa ub e CohopoPzatcalrameippe../Indom/new1.gi../Tes Anorithms, aSam oe1Li y Smit distsbeBed tynd Tony Golet, a aathPuech G laudn aathVuilonioy,nJetn.o e CoIncompre FlbScillows >Thhm hmsyny aco ubr episowa-ialtes ctnon, genfrating as ga. Weoshow uo avs, nicm> (and i hghi ciGleahighs lmnin s) ofyvs, oumshhmtms",=can bA dnatossd ex laly,l hanksal orrhogrete sadpalonst

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