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Title: An invitation to optimal transport, Wasserstein distances, and gradient flows (M) / Alessio Figalli, Federico Glaudo Dewey Class: 519.72 Author: Figalli, Alessio, 1984- Added Personal Name: Glaudo, Federico Publication: Berlin, Germany : EMS Press, 2021 Physical Details: vi, 136 pages; 25 cm. Series: EMS textbooks in mathematics ISBN: 9783985470105 Summary Note: "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." -- publisher: Contents note: Introduction -- Optimal transport -- Wasserstein distances and gradient flow -- Differential viewpoint of optimal transport -- Further reading. ------------------------------ 0000000044677 On Loan Due: 23 May 2024 from SISSA General 517.972 FIG -----------------------------------------------
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