A geometric study of Wasserstein spaces: an addendum on the boundary
Differential Geometry
2013-05-14 v2 Functional Analysis
Metric Geometry
Abstract
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.
Cite
@article{arxiv.1302.1424,
title = {A geometric study of Wasserstein spaces: an addendum on the boundary},
author = {Jérôme Bertrand and Benoit Kloeckner},
journal= {arXiv preprint arXiv:1302.1424},
year = {2013}
}