最优输运（第1分册）

图书标准信息

• 作者 [法]维拉尼 著
• 出版社 世界图书出版公司
• 出版时间 2014-07
• 版次 1
• ISBN 9787510077906
• 定价 115.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 729页
• 正文语种 英语

【内容简介】

　　WhenIwasfirstapproachedforthe2005editionoftheSaint-FlourProbabilitySummerSchool,Iwasintrigued,flatteredandscared.lApartfromthechallengeposedbytheteachingofaratheranalytical
　　subjecttoaprobabilisticaudience,therewasthedangerofproducingaremakeofmyrecentbookTopicsin,OptimalTransportation.

【目录】

Preface
Conventions
Introduction
1Couplingsandchangesofvariables
2Threeexamplesofcouplingtechniques
3Thefoundingfathersofoptimaltransport

PartⅠQualitativedescriptionofoptimaltransport
4Basicproperties
5CyclicalmonotonicityandKantorovichduality
6TheWassersteindistances
7Displacementinterpolation
8TheMonge-Mathershorteningprinciple
9SolutionoftheMongeproblemI:Globalapproach
10SolutionoftheMongeproblemII:Localapproach
11TheJacobianequation
12Smoothness
13Qualitativepicture

PartⅡOptimaltransportandRiemanniangeometry
14Riccicurvature
15Ottocalculus
16DisplacementconvexityI
17DisplacementconvexityII
18Volumecontrol
19Densitycontrolandlocalregularity
20Infinitesimaldisplacementconvexity
21Isoperimetric-typeinequalities
22Concentrationinequalities
23GradientflowsI
24GradientflowsII:Qualitativeproperties
25GradientflowsIII:Functionalinequalities

PartⅢSynthetictreatmentofRiccicurvature
26Analyticandsyntheticpointsofview
27Convergenceofmetric-measurespaces
28Stabilityofoptimaltransport
……
Conclusionsandopenproblems