• Corpus ID: 245669088

Isometric rigidity of Wasserstein spaces: the graph metric case

  title={Isometric rigidity of Wasserstein spaces: the graph metric case},
  author={Gergely Kiss and Tam'as Titkos},
The aim of this paper is to prove that the p-Wasserstein space Wp(X) is isometrically rigid for all p ≥ 1 whenever X is a countable graph metric space. As a consequence, we obtain that for every countable group H and any p ≥ 1 there exists a p-Wasserstein space whose isometry group is isomorphic to H . 
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