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Isometric rigidity of Wasserstein tori and spheres

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Gehér, G. P., Titkos, T. and Virosztek, D. (2023) Isometric rigidity of Wasserstein tori and spheres. Mathematika, 69 (1). pp. 20-32. ISSN 2041-7942

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To link to this item DOI: 10.1112/mtk.12174

Abstract/Summary

We prove isometric rigidity for p-Wasserstein spaces over finite-dimensional tori and spheres for all p. We present a unified approach to proving rigidity that relies on the robust method of recovering measures from their Wasserstein potentials.

Item Type:Article
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:109324
Uncontrolled Keywords:General Mathematics
Publisher:Wiley
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