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- An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows (978-3-98547-050-1) - Einband - fest (Hardcover)
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Graduate students and research mathematicians interested in optimal transport, the calculus of variations, partial differential equations, probability theory, differential geometry
An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows
von Alessio Figalli und Federico GlaudoThis 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.
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.
