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

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

    Posted By: roxul
    Date: 10 Sep 2021 16:32:07
    An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows

    Alessio Figalli, "An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows"
    English | ISBN: 3985470103 | 2021 | 144 pages | PDF | 1429 KB

    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.
    UPWARDS