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[法] 维拉尼 著
出版社: 世界图书出版公司 ISBN:9787510077906 版次:1 商品编码:11582551 包装:平装 外文名称:Optimal Transport Old and New Part 1 开本:24开 出版时间:2014-07-01 用纸:胶版纸 页数:729 正文语种:英文
subject to a probabilistic audience, there was the danger of producing a remake of my recent book Topics in, Optimal Transportation.
Conventions
Introduction
1 Couplings and changes of variables
2 Three examples of coupling techniques
3 The founding fathers of optimal transport
Part Ⅰ Qualitative description of optimal transport
4 Basic properties
5 Cyclical monotonicity and Kantorovich duality
6 The Wasserstein distances
7 Displacement interpolation
8 The Monge-Mather shortening principle
9 Solution of the Monge problem I: Global approach
10 Solution of the Monge problem II: Local approach
11 The Jacobian equation
12 Smoothness
13 Qualitative picture
Part Ⅱ Optimal transport and Riemannian geometry
14 Ricci curvature
15 Otto calculus
16 Displacement convexity I
17 Displacement convexity II
18 Volume control
19 Density control and local regularity
20 Infinitesimal displacement convexity
21 Isoperimetric-type inequalities
22 Concentration inequalities
23 Gradient flows I
24 Gradient flows II: Qualitative properties
25 Gradient flows III: Functional inequalities
Part Ⅲ Synthetic treatment of Ricci curvature
26 Analytic and synthetic points of view
27 Convergence of metric-measure spaces
28 Stability of optimal transport
……
Conclusions and open problems
最优输运(第1分册) [Optimal Transport Old and New Part 1] 电子书 下载 mobi epub pdf txt
最优输运(第1分册) [Optimal Transport Old and New Part 1]-so88
最优输运(第1分册) [Optimal Transport Old and New Part 1] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[法] 维拉尼 著
出版社: 世界图书出版公司 ISBN:9787510077906 版次:1 商品编码:11582551 包装:平装 外文名称:Optimal Transport Old and New Part 1 开本:24开 出版时间:2014-07-01 用纸:胶版纸 页数:729 正文语种:英文
内容简介
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 analyticalsubject to a probabilistic audience, there was the danger of producing a remake of my recent book Topics in, Optimal Transportation.
内页插图
目录
PrefaceConventions
Introduction
1 Couplings and changes of variables
2 Three examples of coupling techniques
3 The founding fathers of optimal transport
Part Ⅰ Qualitative description of optimal transport
4 Basic properties
5 Cyclical monotonicity and Kantorovich duality
6 The Wasserstein distances
7 Displacement interpolation
8 The Monge-Mather shortening principle
9 Solution of the Monge problem I: Global approach
10 Solution of the Monge problem II: Local approach
11 The Jacobian equation
12 Smoothness
13 Qualitative picture
Part Ⅱ Optimal transport and Riemannian geometry
14 Ricci curvature
15 Otto calculus
16 Displacement convexity I
17 Displacement convexity II
18 Volume control
19 Density control and local regularity
20 Infinitesimal displacement convexity
21 Isoperimetric-type inequalities
22 Concentration inequalities
23 Gradient flows I
24 Gradient flows II: Qualitative properties
25 Gradient flows III: Functional inequalities
Part Ⅲ Synthetic treatment of Ricci curvature
26 Analytic and synthetic points of view
27 Convergence of metric-measure spaces
28 Stability of optimal transport
……
Conclusions and open problems
前言/序言
最优输运(第1分册) [Optimal Transport Old and New Part 1] 电子书 下载 mobi epub pdf txt