Topics in optimal transportation / Cédric Villani.
Tipo de material:
TextoIdioma: Inglés Series Graduate studies in mathematics ; v. 58.Fecha de copyright: Providence, R.I. : American Mathematical Society ; 2003Edición: First EditionDescripción: xxii, 378 pages : illustrations ; 26 cmISBN: - 9780821833124 (hbk)
- 519.72 23
| Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems | |
|---|---|---|---|---|---|---|---|---|
Colección general
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Biblioteca Yachay Tech | 519.72 V716t 2003 (Navegar estantería(Abre debajo)) | Ej. 1 | Disponible | 005806 |
Includes bibliographical references (p. 349-362) and index.
Chapter 1. The Kantorovich Duality -- Chapter 2. Geometry of Optimal Transportation -- Chapter 3. Brenier's Polar Factorization Theorem -- Chapter 4. The Monge-Ampere Equation -- Chapter 5. Displacement Interpolation and Displacement Convexity -- Chapter 6. Geometric and Gaussian Inequalities -- Chapter 7. The Metric Side of Optimal Transportation -- Chapter 8. A Differential Point of View on Optimal Transportation -- Chapter 9. Entropy Production and Transportation Inequalities -- Chapter 10. Problems.
Presents a comprehensive introduction to the theory of mass transportation with its many - and sometimes unexpected - applications. This book defines the problem of 'optimal transportation' (or the transferring of mass with the least possible amount of work), with applications to engineering in mind.
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