| 000 | 01854nam a22002897a 4500 | ||
|---|---|---|---|
| 999 |
_c58634 _d58634 |
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| 005 | 20211130150937.0 | ||
| 008 | 211130b ||||| |||| 00| 0 eng d | ||
| 020 | _a9781470425623 | ||
| 028 |
_a:Variety Books Publishers & Distributors _b:B-10 Street No 2 West Vinod Nagar Delhi 110092 _c:IM2893 _d:25/11/2021 |
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| 082 | _a519.72 VIL | ||
| 100 | _aVillani, Cédric, | ||
| 245 |
_aTopics in Optimal Transportation _c/ Cedric Villani |
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| 260 |
_aNew Delhi _b;University Press _c2003 |
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| 300 |
_axvi, 378 pages : illustrations _c ; 26 cm |
||
| 365 | _b1230 | ||
| 505 | _a 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 | ||
| 520 | _aThis 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. | ||
| 650 | _aMathematics | ||
| 650 | _aProbabilities and applied mathematics | ||
| 650 | _aTransportation problems (Programming) | ||
| 650 | _aMonge-Ampère equations. | ||
| 650 | _aProblèmes de transport (Programmation) | ||
| 650 | _aTransports. | ||
| 650 | _aTeoria ergodica. | ||
| 700 | _aVillani, Cedric | ||
| 942 | _cMDL | ||