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math.MG2023★ 2 cited
Isometric rigidity of Wasserstein spaces over Euclidean spheres
György Pál Gehér, Aranka Hrušková, Tamás Titkos +1
We study the structure of isometries of the quadratic Wasserstein space over the sphere endowed with the distance inherited from…
math.MG2022★ 10 cited
Isometric rigidity of Wasserstein tori and spheres
György Pál Gehér, Tamás Titkos, Dániel Virosztek
We prove isometric rigidity for -Wasserstein spaces over finite-dimensional tori and spheres for all . We present a unified approach to proving rigidity that relies on the ro…
math.MG2021
The isometry group of Wasserstein spaces: the Hilbertian case
György Pál Gehér, Tamás Titkos, Dániel Virosztek
Motivated by Kloeckner's result on the isometry group of the quadratic Wasserstein space , we describe the isometry group $\mathrm{Isom}\lef…