Book contents
- Frontmatter
- Epigraph
- Dedication
- Contents
- Preface
- Notation
- Part I The Kantorovich Problem
- 1 An Introduction to the Monge Problem
- 2 Discrete Transport Problems
- 3 The Kantorovich Problem
- Part II Solution of the Monge Problem with Quadratic Cost: The Brenier–McCann Theorem
- Part III Applications to PDE and the Calculus of Variations and the Wasserstein Space
- Part IV Solution of the Monge Problem with Linear Cost: The Sudakov Theorem
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
2 - Discrete Transport Problems
from Part I - The Kantorovich Problem
Published online by Cambridge University Press: 02 November 2023
Book contents
- Frontmatter
- Epigraph
- Dedication
- Contents
- Preface
- Notation
- Part I The Kantorovich Problem
- 1 An Introduction to the Monge Problem
- 2 Discrete Transport Problems
- 3 The Kantorovich Problem
- Part II Solution of the Monge Problem with Quadratic Cost: The Brenier–McCann Theorem
- Part III Applications to PDE and the Calculus of Variations and the Wasserstein Space
- Part IV Solution of the Monge Problem with Linear Cost: The Sudakov Theorem
- Appendix A Radon Measures on Rn and Related Topics
- Appendix B Bibliographical Notes
- References
- Index
Summary
Pedagogical description of the Kantorovich theory in the discrete setting.
- Type
- Chapter
- Information
- Optimal Mass Transport on Euclidean Spaces , pp. 14 - 34Publisher: Cambridge University PressPrint publication year: 2023