第四届华人数学家大会文集 Proceedings of The 4th International Congress of Chinese mathematicians vol IV

图书标准信息

• 作者 季理真 编
• 出版社 高等教育出版社
• 出版时间 2011-01
• 版次 1
• ISBN 9787040314861
• 定价 79.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 334页
• 字数 500千字
• 正文语种 简体中文

【内容简介】

由微知著，以朴制繁，众理如一，筹学之德也。然而数非一相，文非一体。或得之于心，或求之于物，或心物并驰。能者虽众，鲜能兼善。精而后博，数论之质也。朴而后坚，代数之骨也。分析如盘，众妙之门。几何纯厚，筹学之源。探天地之丽，究造物之形。计算巧微，百工以动。概率随机，统计是用。大千精妙，尽在斯乎。
大道行而自然兮，术同源而分流。登高岗而周览兮，望江水之扬波。惟天地之无穷兮，何真理之有常。道没世而不朽兮，惧乎时之不留。士携手而并进兮，国欣欣以向荣。

【目录】

AddressoftheCongressPresidentPastCongressesofICCM
PastMorningsideMedalists,ChernPrizeWinnersandICCMInternationalCooperationAwardWinner
MedalandAwardsofICCMandtheBackground
TheCommitteesoftheCongress
ListofSponsors,DonorsandContributors
MorningsideMedalofMathematicsSelectionCommittee
MorningsideMedalists,ChernPrizeWinnersandICCMInternationalCooperationAwardWinner
PartITheWorkoftheMorningsideMedalists
TheWorkofXu-JiaWangFanghuaLin
TheWorkofJianqingFanZhiliangYin9
TheWorkofChiu-ChuLiuKefengLiu
TheWorkofLizhenJiGopalPrasad
TheWorkofShiJinStanleyOsher
TheWorkofChiun-ChuanChenChang-ShouLin
TheWorkofYeTianJohnCoates
TheoryandImplementationofEfficientImportanceSamplingforMonteCarloComputationofProbabilitiesofRareEvents
H.P.ChanandT.L.Lai
1Introduction
2Largedeviationsandimportancesampling
3Mixturesofexponentiallytwistedmeasuresandasymptotically
optimalimportancesamplingmeasures
4SequentialImportanceSamplingwithResampling(SISR)
References.
FastAlgorithmsforTotalVariation-BasedImageProcessing
T.F.ChanandM.Zhu
1Introduction
2Primalanddualformulation
3Numericalmethods
4Remarksandconclusions
5Acknowledgements
References.
SharpIsoperimetricInequalityforMinimalSurfacesinRJaigyoungChoeandRichardSchoen
1Introduction
2Minimalsurfaces
References
PositiveQuaternionicK~ihlerManifoldswithSymmetryFuquanFang
1Introduction
2Aconnectednesstheorem
3Hyperk~hlerquotientandquaternionicKahlerquotient
4Symmetryrank
References
LinearWavesintheKerrGeometry:Long-TimeDynamics,Superradiance,andtheStabilityofBlackHoles
FelixFinster.
1Generalrelativityandblackholes
2LinearwaveequationsintheKerrgeometryandtheirseparation..
3DynamicsofDiracwaves
4Anintegralrepresentationanddecayforscalarwaves
5Arigoroustreatmentofsuperradianceforscalarwaves
6ThestabilityproblemforKerrblackholes
……