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An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

Produktform: Buch / Einband - fest (Hardcover)

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 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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Sprache(n): Englisch

ISBN: 978-3-9854705-0-1 / 978-3985470501 / 9783985470501

Verlag: EMS Press

Erscheinungsdatum: 30.04.2023

Seiten: 146

Auflage: 2

Zielgruppe: Graduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, differential geometry

Autor(en): Alessio Figalli, Federico Glaudo

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