Fathi: A proof of the Caffarelli contraction theorem via entropic interpolation
Fathi: password=lisbonwade The Caffarelli contraction theorem states that optimal transport maps (for the quadratic cost) from a Gaussian measure onto measures that satisfy certain convexity properties are globally Lipschitz, with a dimension-free estimate. It has found many applications in probability, such as concentration and functional inequalities. In this talk, I will present an alternative proof, using entropic interpolation and variational arguments. Joint work with Nathael Gozlan and Maxime Prod'homme. http://cvgmt.sns.it/seminar/800/
When
Thu Apr 29, 2021 2pm – 3pm Coordinated Universal Time
Where
WADE (Webinar in Analysis and Differential Equations) - Rome time (map)
