最优输运
最优输运封面图

最优输运

(法) 维拉尼, 著

出版社:世界图书出版公司北京公司

年代:2014

定价:115.0

书籍简介:

本书原版980页,是单卷本,为了便于读者阅读,影印版分为2卷。全面讲述最优输运——无论新老问题的专著。本书讲学严谨,基于大量的文献扩充改变而成,使得这本书成为一本相当有价值的宝典类书籍,证明完整自成体系,扩充了文献注解。适于最优输运方面的每个科研人员和研究生,博士及以上的人员不需要预备知识可以完全读懂该书。目次:导引;最优输运的量化描述;最优输运和黎曼几何;Ricci曲率的综合处理;结论和开放问题。

书籍目录:

PrefaceConventionsIntroduction1 Couplings and changes of variables2 Three examples of coupling techniques3 The founding fathers of optimal transportPart Ⅰ Qualitative description of optimal transport4 Basic properties5 Cyclical monotonicity and Kantorovich duality6 The Wasserstein distances7 Displacement interpolation8 The Monge-Mather shortening principle9 Solution of the Monge problem I: Global approach10 Solution of the Monge problem II: Local approach11 The Jacobian equation12 Smoothness13 Qualitative picturePart Ⅱ Optimal transport and Riemannian geometry14 Ricci curvature15 Otto calculus16 Displacement convexity I17 Displacement convexity II18 Volume control19 Density control and local regularity20 Infinitesimal displacement convexity21 Isoperimetric-type inequalities22 Concentration inequalities23 Gradient flows I24 Gradient flows II: Qualitative properties25 Gradient flows III: Functional inequalitiesPart Ⅲ Synthetic treatment of Ricci curvature26 Analytic and synthetic points of view27 Convergence of metric-measure spaces28 Stability of optimal transport……Conclusions and open problems

内容摘要:

When I was first approached for the 2005 edition of the Saint-Flour Probability Summer School, I was intrigued, flattered and scared. l Apart from the challenge posed by the teaching of a rather analytical  subject to a probabilistic audience, there was the danger of producing a remake of my recent book Topics in, Optimal Transportation.

书籍规格:

书籍详细信息
书名最优输运站内查询相似图书
9787510077906
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出版地北京出版单位世界图书出版公司北京公司
版次1版印次1
定价(元)115.0语种英文
尺寸23 × 15装帧平装
页数印数

书籍信息归属:

最优输运是世界图书出版公司北京公司于2014.7出版的中图分类号为 O311 的主题关于 输运理论-研究-英文 的书籍。