01854nam a22002897a 4500 58634 58634 20211130150937.0 211130b ||||| |||| 00| 0 eng d 9781470425623 :Variety Books Publishers & Distributors :B-10 Street No 2 West Vinod Nagar Delhi 110092 :IM2893 :25/11/2021 519.72 VIL Villani, Cédric, Topics in Optimal Transportation / Cedric Villani New Delhi ;University Press 2003 xvi, 378 pages : illustrations ; 26 cm 1230 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. Mathematics Probabilities and applied mathematics Transportation problems (Programming) Monge-Ampère equations. Problèmes de transport (Programmation) Transports. Teoria ergodica. Villani, Cedric MDL 0 0 ddc 0 1 MDL SNUL 2021-11-30 Variety Books Publishers & Distributors 1230.00 0 519.72 VIL M304 2021-11-30 00:00:00 2021-11-30 MDL FPDA Grant