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

Benoit Kloeckner (IF); J\'er\^ome Bertrand (IMT)

arxiv: 1302.1424 · v2 · pith:GMQKTAPKnew · submitted 2013-02-06 · 🧮 math.DG · math.FA· math.MG

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

J\'er\^ome Bertrand (IMT) , Benoit Kloeckner (IF) This is my paper

classification 🧮 math.DG math.FAmath.MG

keywords boundarygeometricspacewassersteinaddendumconnectedcurvedextend

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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.

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

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