Globally Lipschitz Transport Maps
Time: 2022-11-07
Published By: He Liu
Speaker(s): Max Fathi (Université de Paris, LJLL & LPSM)
Time: 16:00-17:00 November 10, 2022
Venue: Online
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 that works in other settings, including some non-log-concave measures and Riemannian manifolds. Joint work with D. Mikulincer and Y. Shenfeld.
Zoom Link:
https://u-paris.zoom.us/j/88219068676?pwd=RStXS1pzTzYyQXJFYmNrZVd0RHRJUT09
Meeting ID : 882 1906 8676
Password : 669929
