Speaker: Feng-Yu Wang (Tianjin University)
Title: Spectral Representations on Wasserstein Limits of Empirical Measures on Manifolds
Abstract: Sharp convergence rates in Wasserstein distance are derived for empirical measures of diffusion processes on Riemannian manifolds, and the renormalization limits are explicitly formulated by using eigenvalues and eigenfunctions of the associated elliptic operator. For explosive diffusion processes, the convergence is described by conditional expectations.
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