A geometric study of Wasserstein spaces: an addendum on the boundary

Jérôme Bertrand (1) , Benoit Kloeckner (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IF - Institut Fourier

We extend the geometric study of the Wasserstein space W(X) of a simply connected, negatively curved metric space X by investigating which pairs of boundary points can be linked by a geodesic, when X is a tree.

Mots clés: Optimal transport; visual boundary; Wasserstein spaces; visibility spaces

Domaines: Géométrie différentielle [math.DG]; Analyse fonctionnelle [math.FA]; Géométrie métrique [math.MG]

Jérôme Bertrand, Benoit Kloeckner. A geometric study of Wasserstein spaces: an addendum on the boundary. Geometric Science of Information 2013, Aug 2013, Paris, France. pp 405-412, ⟨10.1007/978-3-642-40020-9_44⟩. ⟨hal-00785685v2⟩