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Séminaire de Géométrie

On the geometry of Wasserstein spaces - an introduction

Nicola Gigli

Salle 2

le 21 novembre 2008 à 10:30

I will start from the basic definition of Wasserstein distance W2W_2 on the set of probability measures over a metric space (X,d)(X,d), and describe the links between the geometric properties of XX (es. existence of geodesics) and those of the space (P2,W2)(P_2,W_2). The seminar requires no a priori knowledge of the subject.