{
  "id": "2107.11568",
  "version": "v1",
  "published": "2021-07-24T09:40:12.000Z",
  "updated": "2021-07-24T09:40:12.000Z",
  "title": "Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds",
  "authors": [
    "Feng-Yu Wang",
    "Bingyao Wu"
  ],
  "comment": "26 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $M$ be a connected compact Riemannian manifold possibly with a boundary, let $V\\in C^2(M)$ such that $\\mu(\\d x):=\\e^{V(x)}\\d x$ is a probability measure, where $\\d x$ is the volume measure, and let $L=\\Delta+\\nabla V$. The exact convergence rate in Wasserstein distance is derived for empirical measures of subordinations for the (reflecting) diffusion process generated by $L$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-24T09:40:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "empirical measures",
      "wasserstein convergence",
      "subordinated diffusions",
      "exact convergence rate",
      "diffusion process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}