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Guillaume Carlier
Lundi 18 Mars 2019
Guillaume Carlier (Université Paris Dauphine)
Wasserstein barycenters and systems of Monge-Ampère equations.
Résumé :
Wasserstein barycenters are natural a way to interpolate between several probability measures, generalizing McCann’s interpolation which has become popular in some applied fields of data sciences. In this talk, I will present some results and open questions related to these barycenters, insisting on the connection with systems of Monge-Ampère equations,
in particular the fact that the support of the barycenter solves a free boundary problem for such systems.