TY  - BOOK
AU  - Villani, Cédric,
AU  - Villani, Cedric
TI  - Topics in Optimal Transportation
SN  - 9781470425623
U1  - 519.72 VIL 
PY  - 2003///
CY  - New Delhi
PB  - ;University  Press 
KW  - Mathematics
KW  - Probabilities and applied mathematics
KW  - Transportation problems (Programming)
KW  - Monge-Ampère equations
KW  - Problèmes de transport (Programmation)
KW  - Transports
KW  - Teoria ergodica
N1  - 	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
N2  - 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
ER  -