Anita Kollwitz

Max Fathi, Paris: Globally Lipschitz transport maps (Oberseminar Mathematische Stochastik)

Wednesday, 11.01.2023 17:00 im Raum SRZ 216

Mathematik und Informatik

Lipschitz transport maps allow to transfer functional and isoperimetric inequalities, such as logarithmic Sobolev inequalities, from one probability measure to another. For uniformly log-concave measures on Euclidean spaces, this can be done using quadratic optimal transport, thanks to Caffarelli's contraction theorem. In this talk, I will discuss a stochastic construction of Lipschitz transport maps due to Kim and Milman, and how it works in other settings, including some non-log-concave measures and Riemannian manifolds. Joint work with D. Mikulincer and Y. Shenfeld.

Angelegt am Monday, 05.09.2022 09:34 von Anita Kollwitz
Geändert am Thursday, 05.01.2023 11:16 von Anita Kollwitz
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