Topics in optimal transportation /
Villani, Cédric 1973-
Topics in optimal transportation / Cédric Villani. - First Edition. - xxii, 378 pages : illustrations ; 26 cm. - Graduate studies in mathematics v. 58. 1065-7339 ; .
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.
9780821833124 (hbk)
2003040350
Transportation problems (Programming)
Monge-Ampère equations
Problemas de transporte (Programación)
Ecuaciones de Monge-Ampère
519.72
Topics in optimal transportation / Cédric Villani. - First Edition. - xxii, 378 pages : illustrations ; 26 cm. - Graduate studies in mathematics v. 58. 1065-7339 ; .
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.
9780821833124 (hbk)
2003040350
Transportation problems (Programming)
Monge-Ampère equations
Problemas de transporte (Programación)
Ecuaciones de Monge-Ampère
519.72