On tangent cones in Wasserstein space
Copyright policy )On tangent cones in Wasserstein space
If M M is a smooth compact Riemannian manifold, let P ( M ) P(M) denote the Wasserstein space of probability measures on M M . If S S is an embedded submanifold of M M , and μ \mu is an absolutely continuous measure on S S , then we compute the tangent cone of P ( M ) P(M) at μ \mu .
- University of California, Berkeley United States
- Department of Mathematics University of California, Berkeley United States
Mathematics - Differential Geometry, Wasserstein space, Diffusion processes and stochastic analysis on manifolds, Wasserstein metric, Differential Geometry (math.DG), probability measures, Spaces of measures, convergence of measures, FOS: Mathematics, Integration on manifolds; measures on manifolds, Global Riemannian geometry, including pinching
Mathematics - Differential Geometry, Wasserstein space, Diffusion processes and stochastic analysis on manifolds, Wasserstein metric, Differential Geometry (math.DG), probability measures, Spaces of measures, convergence of measures, FOS: Mathematics, Integration on manifolds; measures on manifolds, Global Riemannian geometry, including pinching
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