Villani, Cédric creator Villani, Cedric text New Delhi ;University Press 2003 monographic eng

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xvi, 378 pages : illustrations ; 26 cm 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. 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 / Cedric Villani Mathematics Probabilities and applied mathematics Transportation problems (Programming) Monge-Ampère equations Problèmes de transport (Programmation) Transports Teoria ergodica 519.72 VIL 9781470425623 :Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092 211130 20211130150937.0