丘成桐1990年以来的文章.docx
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丘成桐1990年以来的文章
SHING-TUNGYAU
LISTOFPUBLICATION
[1] Lian,BongH.;Liu,Kefeng;Yau,Shing-TungMirrorprinciple.IV.Surveysindifferentialgeometry,475--496,Surv.Differ.Geom.,VII,InternationalPress,Somerville,MA,2000.
[2] Surveysindifferentialgeometry.PapersdedicatedtoAtiyah,Bott,Hirzebruch,andSinger.EditedbyS.-T.Yau.SurveysinDifferentialGeometry,VII.InternationalPress,Somerville,MA,2000.iv+696pp.ISBN:
1-57146-069-1
[3] Finster,Felix;Smoller,Joel;Yau,Shing-TungAbsenceofstatic,sphericallysymmetricblackholesolutionsforEinstein-Dirac-Yang/Millsequationswithcompletefermionshells.Adv.Theor.Math.Phys.4(2000),no.6,1231--1257.
[4] Yau,Shing-Tung;Yau,StephenS.-T.Real-timenumericalsolutiontoDuncan-Mortensen-Zakaiequation.Foundationsofcomputationalmathematics(Oxford,1999),361--400,LondonMath.Soc.LectureNoteSer.,284,CambridgeUniv.Press,Cambridge,2001.
[5] Leung,NaichungConan;Yau,Shing-Tung;Zaslow,EricFromspecialLagrangiantoHermitian-Yang-MillsviaFourier-Mukaitransform.Adv.Theor.Math.Phys.4(2000),no.6,1319--1341.
[6] Lian,BongH.;Yau,Shing-TungAtourofmirrorsymmetry.FirstInternationalCongressofChineseMathematicians(Beijing,1998),115--127,AMS/IPStud.Adv.Math.,20,Amer.Math.Soc.,Providence,RI,2001.
[7] Chen,Beifang;Yau,Shing-Tung;Yeh,Yeong-NanGraphhomotopyandGrahamhomotopy.SelectedpapersinhonorofHelgeTverberg.DiscreteMath.241(2001),no.1-3,153--170.
[8] Currentdevelopmentsinmathematics2000.EditedbyB.Mazur,W.Schmid,S.T.Yau,J.deJong,D.JerisonandG.Lustig.InternationalPress,Somerville,MA,2001.iv+253pp.ISBN:
1-57146-079-9
[9] Leung,NaichungConan;Yau,Shing-Tung;Zaslow,EricFromspecialLagrangiantoHermitian-Yang-MillsviaFourier-Mukaitransform.WinterSchoolonMirrorSymmetry,VectorBundlesandLagrangianSubmanifolds(Cambridge,MA,1999),209--225,AMS/IPStud.Adv.Math.,23,Amer.Math.Soc.,Providence,RI,2001.
[10] Yau,Shing-Tung;Zhang,WenNonlinearandlinearelasticimpacttheory.CathleenMorawetz:
agreatmathematician.MethodsAppl.Anal.7(2000),no.3,591--604.
[11] Chung,Fan;Grigor\cprimeyan,Alexander;Yau,Shing-TungHighereigenvaluesandisoperimetricinequalitiesonRiemannianmanifoldsandgraphs.Comm.Anal.Geom.8(2000),no.5,969--1026.
[12] Lian,BongH.;Liu,Kefeng;Yau,Shing-TungMirrorprinciple.III.AsianJ.Math.3(1999),no.4,771--800.
[13] WinterSchoolonMirrorSymmetry,VectorBundlesandLagrangianSubmanifolds.ProceedingsoftheschoolheldatHarvardUniversity,Cambridge,MA,January1999.EditedbyCumrunVafaandS.-T.Yau.AMS/IPStudiesinAdvancedMathematics,23.AmericanMathematicalSociety,Providence,RI;InternationalPress,Somerville,MA,2001.x+377pp.ISBN:
0-8218-2159-8
[14] Lian,BongH.;Yau,Shing-TungDifferentialequationsfrommirrorsymmetry.Surveysindifferentialgeometry:
differentialgeometryinspiredbystringtheory,510--526,Surv.Differ.Geom.,5,Int.Press,Boston,MA,1999.
[15] Lian,BongH.;Liu,Kefeng;Yau,Shing-TungMirrorprinciple,asurvey.Currentdevelopmentsinmathematics,1998(Cambridge,MA),35--82,Int.Press,Somerville,MA,1999.
[16] Finster,Felix;Kamran,Niky;Smoller,Joel;Yau,Shing-TungErratum:
"Nonexistenceoftime-periodicsolutionsoftheDiracequationinanaxisymmetricblackholegeometry".Comm.PureAppl.Math.53(2000),no.9,1201.
[17] Finster,Felix;Kamran,Niky;Smoller,Joel;Yau,Shing-TungNonexistenceoftime-periodicsolutionsoftheDiracequationinanaxisymmetricblackholegeometry.Comm.PureAppl.Math.53(2000),no.7,902--929.
[18] Finster,Felix;Smoller,Joel;Yau,Shing-TungTheinteractionofDiracparticleswithnon-abeliangaugefieldsandgravity---boundstates.NuclearPhys.B584(2000),no.1-2,387--414.
[19] Yau,S.-T.Reviewofgeometryandanalysis.Kodaira'sissue.AsianJ.Math.4(2000),no.1,235--278.
[20] Chiang,T.-M.;Klemm,A.;Yau,S.-T.;Zaslow,E.Localmirrorsymmetry:
calculationsandinterpretations.Adv.Theor.Math.Phys.3(1999),no.3,495--565.
[21] Yau,Shing-Tung;Yau,StephenS.-T.Realtimesolutionofnonlinearfilteringproblemwithoutmemory.I.Math.Res.Lett.7(2000),no.5-6,671--693.
[22] Andreas,Björn;Yau,Shing-Tung;Curio,Gottfried;Ruipérez,DanielHernándezFibrewise$T$-dualityforD-branesonellipticCalabi-Yau.J.HighEnergyPhys.2001,no.3,Paper20,13pp.
[23] Witten,Edward;Yau,S.-T.ConnectednessoftheboundaryintheAdS/CFTcorrespondence.Adv.Theor.Math.Phys.3(1999),no.6,1635--1655(2000).
[24] Yau,S.-T.Reviewofgeometryandanalysis.Mathematics:
frontiersandperspectives,353--401,Amer.Math.Soc.,Providence,RI,2000.
[25] FirstInternationalCongressofChineseMathematicians.Proceedingsofthecongress(ICCM98)heldinBeijing,December12--16,1998.EditedbyLoYangandS.-T.Yau.AMS/IPStudiesinAdvancedMathematics,20.AmericanMathematicalSociety,Providence,RI;InternationalPress,Somerville,MA,2001.lxxvi+518pp.ISBN:
0-8218-2652-2
[26] EinsteinmanifoldswithzeroRiccicurvature.Surveysindifferentialgeometry:
essaysonEinsteinmanifolds,1--14,Surv.Differ.Geom.,VI,Int.Press,Boston,MA,1999.
[27] Chung,Fan;Yau,S.-T.AHarnackinequalityforDirichleteigenvalues.J.GraphTheory34(2000),no.4,247--257.
[28] Fröhlich,J.;Graf,G.M.;Hasler,D.;Hoppe,J.;Yau,S.-T.Asymptoticformofzeroenergywavefunctionsinsupersymmetricmatrixmodels.NuclearPhys.B567(2000),no.1-2,231--248.
[29] Chung,Fan;Yau,S.-T.DiscreteGreen'sfunctions.InmemoryofGian-CarloRota.J.Combin.TheorySer.A91(2000),no.1-2,191--214.
[30] Finster,Felix;Smoller,Joel;Yau,Shing-TungSomerecentprogressinclassicalgeneralrelativity.J.Math.Phys.41(2000),no.6,3943--3963.
[31] Currentdevelopmentsinmathematics,1998.ProceedingsoftheseminarheldinCambridge,MA,1998.EditedbyB.Mazur,W.Schmid,S.T.Yau,D.Jerison,I.SingerandD.Stroock.InternationalPress,Somerville,MA,1999.vi+278pp.ISBN:
1-57146-077-2
[32] Finster,Felix;Smoller,Joel;Yau,Shing-TungTheinteractionofDiracparticleswithnon-abeliangaugefieldsandgravity---blackholes.MichiganMath.J.47(2000),no.1,199--208.
[33] Finster,Felix;Smoller,Joel;Yau,Shing-TungNon-existenceoftime-periodicsolutionsoftheDiracequationinaReissner-Nordströmblackholebackground.J.Math.Phys.41(2000),no.4,2173--2194.
[34] Surveysindifferentialgeometry:
differentialgeometryinspiredbystringtheory.AsupplementtotheJournalofDifferentialGeometry.EditedbyS.-T.Yau.SurveysinDifferentialGeometry,5.InternationalPress,Boston,MA,1999.viii+569pp.ISBN:
1-57146-070-5
[35] Yau,S.-T.Openproblemsingeometry.J.RamanujanMath.Soc.15(2000),no.2,125--134.
[36] Lian,BongH.;Yau,Shing-TungOnmirrorsymmetry.Algebraandgeometry(Taipei,1995),207--213,Lect.AlgebraGeom.,2,Internat.Press,Cambridge,MA,1998.
[37] Finster,Felix;Smoller,Joel;Yau,Shing-TungParticlelikesolutionsoftheEinstein-Diracequations.Phys.Rev.D(3)59(1999),no.10,104020,19pp.
[38] Lian,BongH.;Liu,Kefeng;Yau,Shing-TungMirrorprinciple.II.SirMichaelAtiyah:
agreatmathematicianofthetwentiethcentury.AsianJ.Math.3(1999),no.1,109--146.
[39] Jost,Jürgen;Yau,Shing-TungHarmonicmapsandrigiditytheoremsforspacesofnonpositivecurvature.Comm.Anal.Geom.7(1999),no.4,681--694.
[40] Yau,Shing-Tung;Yau,StephenS.-T.ExistenceanddecayestimatesfortimedependentparabolicequationwithapplicationtoDuncan-Mortensen-Zakaiequation.MikioSato:
agreatJapanesemathematicianofthetwentiethcentury.AsianJ.Math.2(1998),no.4,1079--1149.
[41] Finster,Felix;Smoller,Joel;Yau,Shing-TungNon-existenceofblackholesolutionsforasphericallysymmetric,staticEinstein-Dirac-Maxwellsystem.Comm.Math.Phys.205(1999),no.2,249--262.
[42] Finster,Felix;Smoller,Joel;Yau,Shing-TungThecouplingofgravitytospinandelectromagnetism.ModernPhys.Lett.A14(1999),no.16,1053--1057.
[43] Lian,BongH.;Yau,Shing-TungIntegralityofcertainexponentialseries.Algebraandgeometry(Taipei,1995),215--227,Lect.AlgebraGeom.,2,Internat.Press,Cambridge,MA,1998.
[44] Chung,Fan;Yau,S.-T.Coverings,heatkernelsandspanningtrees.Electron.J.Combin.6(1999),no.1,ResearchPaper12,21pp.(electronic).
[45] Currentdevelopmentsinmathematics,1996.PapersfromtheseminarheldinCambridge,MA,1996.EditedbyRaoulBott,ArthurJaffe,DavidJerison,GeorgeLusztig,IsadoreSingerandS.T.Yau.InternationalPress,Boston,MA,1997.iv+212pp.ISBN:
1-57146-035-7
[46] Finster,Felix;Smoller,Joel;Yau,Shing-TungParticle-likesolutionsoftheEinstein-Dirac-Maxwellequations.Phys.Lett.A259(1999),no.6,431--436.
[47] S.S.Chern.Agreatgeometerofthetwentiethcentury.Expandededition.EditedbyS.-T.Yau.InternationalPress,Cambridge,MA,1998.xxxii+331pp.ISBN:
1-57146-098-5
[48] Yau,Shing-Tung;Yau,StephenS.T.Finite-dimensionalfilterswithnonlineardrift.XI.ExplicitsolutionofthegeneralizedKolmogorovequationinBrockett-Mitterprogram.Adv.Math.140(1998),no.2,156--189.
[49] Grigor\cprimeyan,A.;Yau,S.-T.Decompositionofametricspacebycapacitors.Differentialequations:
LaPietra1996(Florence),39--75,Proc.Sympos.PureMath.,65,Amer.Math.Soc.,Providence,RI,1999.
[50] Currentdevelopmentsinmathematics,1997.PapersfromtheconferenceheldinCambridge,MA,1997.EditedbyRaoulBott,ArthurJaffe,DavidJer
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