A Rademacher-type Theorem on $L^2$-Wasserstein Spaces over Closed Riemannian Manifolds

22 Feb 2020 Schiavo Lorenzo Dello

Let $\mathbb P$ be any Borel probability measure on the $L^2$-Wasserstein space $(\mathscr{P}_2(M),W_2)$ over a closed Riemannian manifold $M$. We consider the Dirichlet form $\mathcal E$ induced by $\mathbb P$ and by the Wasserstein gradient on $\mathscr{P}_2(M)$... (read more)

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