2022/01/04 by Gergely Kiss, Kiss, Gergely, Tamás Titkos +1
Medicine · Mathematics · #Biomedical Research and Pathophysiology #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders
paper · pdf · doi:10.48550/arxiv.2201.01076
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.