论文标题
Wasserstein空间的等距刚度：图指标
Isometric rigidity of Wasserstein spaces: the graph metric case
论文作者
论文摘要
本文的目的是证明$ p $ -wasserstein space $ \ mathcal {w} _p（x）$对于所有$ p \ geq 1 $ is Allismetiar star上是固定的。结果，我们可以为每个可数组的$ h $和任何$ p \ geq 1 $获得，存在$ p $ -WASSERSTEIN SPACE，其iSometry群是同构至$ h $的。
The aim of this paper is to prove that the $p$-Wasserstein space $\mathcal{W}_p(X)$ is isometrically rigid for all $p\geq 1$ whenever $X$ is a countable graph metric space. As a consequence, we obtain that for every countable group $H$ and any $p\geq 1$ there exists a $p$-Wasserstein space whose isometry group is isomorphic to $H$.
