An invitation to optimal transport, Wasserstein distances, and gradient flows /
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 tr...
| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin :
EMS Press,
[2023].
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| Edition: | Second edition. |
| Series: | EMS textbooks in mathematics.
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| Subjects: |
| 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. The present second edition contains a number of additions, such as a new section on the Brunn-Minkowski inequality, new exercises and various corrections throughout the text. |
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| Physical Description: | vi, 146 pages ; 25 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9783985470501 3985470502 |