Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds

2021/07/24 by Feng‐Yu Wang, Wang, Feng-Yu, Bingyao Wu +1
Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Geometric Analysis and Curvature Flows #Probability (math.PR) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2107.11568

openalex publication_date 2021/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be a connected compact Riemannian manifold possibly with a boundary, let V∈ C²(M) such that μ(\d x):=\e^V(x)\d x is a probability measure, where \d x is the volume measure, and let L=Δ+∇ V. The exact convergence rate in Wasserstein distance is derived for empirical measures of subordinations for the (reflecting) diffusion process generated by L.

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