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

von Alessio Figalli, Federico Glaudo

146 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: EMS Textbooks in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783985470501
• Sprache: Englisch
• Erscheinungsdatum: 01.05.2023
• Größe: 23.5 x 16.5 cm
• Verlag: EMS Press