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An invitation to optimal transport, Wasserstein distances, and gradient flows
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Catalogue Information
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Dewey Class
519.72
Title
An invitation to optimal transport, Wasserstein distances, and gradient flows (M) / Alessio Figalli, Federico Glaudo
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.
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Subject References:
Flows (Differentiable dynamical systems)
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Mathematical optimization
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Authors:
Figalli, Alessio 1984-
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Glaudo, Federico
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Series:
EMS textbooks in mathematics
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Classification:
519.72
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517.972 FIG
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