A new proof of the Caffarelli contraction theorem

Series
High Dimensional Seminar
Time
Wednesday, December 4, 2019 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Max Fathi – Mathematics Institute, Toulouse, France
Organizer
Galyna Livshyts

The Caffarelli contraction theorem states that the Brenier map sending the
Gaussian measure onto a uniformly log-concave probability measure is
lipschitz. In this talk, I will present a new proof, using entropic
regularization and a variational characterization of lipschitz transport
maps. Based on joint work with Nathael Gozlan and Maxime Prod'homme.