Stability and Finiteness of Wasserstein Spaces
Metric Geometry
2024-06-11 v1 Differential Geometry
Abstract
Under Gromov--Hausdorff convergence, and equivariant Gromov--Hausdorff convergence, we prove stability results of Wasserstein spaces over certain classes of singular and non-singular spaces. For example, we obtain an analogue of Perelman's stability theorem on Wasserstein spaces.
Cite
@article{arxiv.2406.05998,
title = {Stability and Finiteness of Wasserstein Spaces},
author = {Mohammad Alattar},
journal= {arXiv preprint arXiv:2406.05998},
year = {2024}
}