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Topics in Optimal Transportation
monograph
Author(s):
Cédric Villani
Publication date
(Print):
March 25 2003
Publisher:
American Mathematical Society
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Book
ISBN (Print):
9780821833124
ISBN (Electronic):
9781470418045
Publication date (Print):
March 25 2003
DOI:
10.1090/gsm/058
SO-VID:
1f712ef6-0be1-4138-bbcf-673cbd08e4c6
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Book chapters
pp. 1
Introduction
pp. 17
The Kantorovich duality
pp. 47
Geometry of optimal transportation
pp. 107
Brenier’s polar factorization theorem
pp. 125
The Monge-Ampère equation
pp. 143
Displacement interpolation and displacement convexity
pp. 183
Geometric and Gaussian inequalities
pp. 205
The metric side of optimal transportation
pp. 237
A differential point of view on optimal transportation
pp. 267
Entropy production and transportation inequalities
pp. 307
Problems
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