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189 personnes travaillent au LJLL

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Chiffres mars 2019


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.