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 ${\mathcal{W}}_2\left({\mathbb{R}}^n\right)$, we describe the isometry group $\mathrm{Isom}\lef…