An Invitation to Optimal Transport, Wasserstein Distances,...

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Mathematics - Analysis
An Invitation to Optimal Transport,...

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

Name: An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
ISBN: 9783985470105

Alessio Figalli, Federico Glaudo

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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.

Kategorie:

Mathematics - Analysis

Rok:

2021

Wydawnictwo:

European Mathematical Society

Język:

english

Strony:

144

ISBN 10:

3985470103