Isometric study of Wasserstein spaces --- the real line

György Pál Gehér, Tamás Titkos, Dániel Virosztek

Recently Kloeckner described the structure of the isometry group of the quadratic Wasserstein space ${\mathcal{W}}_2\left({\mathbb{R}}^n\right)$. It turned out that the case of the rea…