Invitation to optimal transport, Wasserstein distances, and gradient flows
By: Figalli, Alessio.
Material type:
BookSeries: EMS textbooks in mathematics.Publisher: Berlin : European Mathematical Society, 2021Edition: 2nd ed.Description: 146 p. ; 24 cm.ISBN: 9783985470501.Subject(s): Wasserstein distance | Displacement convexity | Gradient flowsDDC classification: 519.72 Summary: This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject.The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. The book is suitable for a course at the graduate level and also includes an appendix with a series of exercises along with their solutions.
| Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| Books | 519.72 FIG (Browse shelf) | Available | 034426 |
Includes bibliographical references.
This book provides a self-contained introduction to optimal transport, and it is intended as a starting point for any researcher who wants to enter into this beautiful subject.The presentation focuses on the essential topics of the theory: Kantorovich duality, existence and uniqueness of optimal transport maps, Wasserstein distances, the JKO scheme, Otto's calculus, and Wasserstein gradient flows. At the end, a presentation of some selected applications of optimal transport is given. The book is suitable for a course at the graduate level and also includes an appendix with a series of exercises along with their solutions.
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