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Villani, Cédric,

Topics in Optimal Transportation / Cedric Villani - New Delhi ;University Press 2003 - xvi, 378 pages : illustrations ; 26 cm

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

This graduate textbook reviews results about the existence and regularity of the optimal mass transportation problem, introducing such topics as displacement interpolation, its applications to functional inequalities with geometric content, the Monge-Kantorovich problem, and a differential formulation of the transportation problem inspired by fluid mechanics. Annotation (c)2003 Book News, Inc., Portland, OR.

ISBN: 9781470425623

Publisher. No.: Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092

Subjects--Topical Terms:
Mathematics
Probabilities and applied mathematics
Transportation problems (Programming)
Monge-Ampère equations.
Problèmes de transport (Programmation)
Transports.
Teoria ergodica.

Dewey Class. No.: 519.72 VIL