Wasserstein space over the Wiener sapce

Shizan Fang
Université de Bourgogne (Dijon)

We shall carry out the programme of Ambrosio-Gigli-Savaré on gradient flows to the Wiener space $(X,H,\mu)$. The suitable class of measures in this case is the one of measures having finite entropy, the notion of moments being not convenient.

Presentation (PDF File)

Back to Workshop I: Aspects of Optimal Transport in Geometry and Calculus of Variations