An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows/ Alessio Figalli and Federico Glaudo
Material type:
TextSeries: EMS Textbooks in MathematicsPublication details: Berlin: EMS Press, 2023. Edition: 2nd edDescription: vi,146pISBN: 9783985470501Summary: 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. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The 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.
| Item type | Current library | Call number | Materials specified | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
| Books | TIFR CAM Library | Checked out to Debabrata Karmakar (DKR002) | 05/03/2024 | M12247 |
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. Suitable for a course at the graduate level, the book also includes an appendix with a series of exercises along with their solutions. The 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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