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arXiv:2406.05998 [math.MG]AbstractReferencesReviewsResources

Stability and Finiteness of Wasserstein Spaces

Mohammad Alattar

Published 2024-06-10Version 1

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.

Categories: math.MG, math.DG
Subjects: 53C23, 53C20, 51K10
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