敏捷
发表于 2025-3-30 10:11:24
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Small-Intestine
发表于 2025-3-30 14:05:54
Lecture 15: Semicontinuity and Convexity of Energies in the Wasserstein Space,We are now interested in the semicontinuity and convexity properties of the following three types of energy functionals defined on measures: internal energy, potential energy and interaction energy.
Junction
发表于 2025-3-30 18:33:27
Lecture 16: The Continuity Equation and the Hopf-Lax Semigroup,We are now going to explore the connections between the classical ODE Cauchy problem, the continuity equation and the transport equation. These results will be applied to give a differential description (through the continuity equation) of the geodesics in the Wasserstein space.
URN
发表于 2025-3-30 22:10:46
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endocardium
发表于 2025-3-31 01:01:24
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手工艺品
发表于 2025-3-31 08:01:23
Lecture 19: Heat Flow, Optimal Transport and Ricci Curvature,In this final lecture we wish to explore the connections between Heat Flow, Optimal Transport and Ricci curvature on a smooth compact Riemannian manifold. In doing so we will extend and generalise some of the properties we have proved for the Euclidean space.
Lineage
发表于 2025-3-31 11:37:05
Lecture 8: The Metric Side of Optimal Transport,l theory and to some applications. Now our goal is to show how the optimal transport problem can be used to endow . with a natural metric structure. We will see how many metric (and even differential) properties can be “lifted” from . to ., as separability, compactness, completeness, geodesic, nonbranching, lower bounds on sectional curvature.
Bereavement
发表于 2025-3-31 14:27:13
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peak-flow
发表于 2025-3-31 19:09:37
Lectures on Optimal Transport978-3-030-72162-6Series ISSN 2038-5714 Series E-ISSN 2532-3318
Inscrutable
发表于 2025-3-31 23:41:53
Textbook 20211st editiond optimal transport. It originated from the teaching experience of the first author in the Scuola Normale Superiore, where a course on optimal transport and its applications has been given many times during the last 20 years. The topics and the tools were chosen at a sufficiently general and advance