Stability and finiteness theorems for Wasserstein spaces
(2025)
Journal Article
Al Attar, M. (2025). Stability and finiteness theorems for Wasserstein spaces. Proceedings of the American Mathematical Society, 153(3), 1283-1298. https://doi.org/10.1090/proc/17084
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 th... Read More about Stability and finiteness theorems for Wasserstein spaces.