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Topics in optimal transportation

Author: Cédric Villani
Publisher: Providence, RI : American Mathematical Society, ©2003.
Series: Graduate studies in mathematics, v. 58.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Presents a comprehensive introduction to the theory of mass transportation with its many - and sometimes unexpected - applications. This book defines the problem of 'optimal transportation' (or the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Cédric Villani
ISBN: 082183312X 9780821833124
OCLC Number: 51477002
Description: xvi, 370 pages : illustrations ; 26 cm.
Contents: Ch. 1. The Kantorovich Duality --
Ch. 2. Geometry of Optimal Transportation --
Ch. 3. Brenier's Polar Factorization Theorem --
Ch. 4. The Monge-Ampere Equation --
Ch. 5. Displacement Interpolation and Displacement Convexity --
Ch. 6. Geometric and Gaussian Inequalities --
Ch. 7. The Metric Side of Optimal Transportation --
Ch. 8. A Differential Point of View on Optimal Transportation --
Ch. 9. Entropy Production and Transportation Inequalities --
Ch. 10. Problems --
Table of Short Statements.
Series Title: Graduate studies in mathematics, v. 58.
Responsibility: Cédric Villani.
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