{
  "id": "1509.02025",
  "version": "v1",
  "published": "2015-09-07T13:15:05.000Z",
  "updated": "2015-09-07T13:15:05.000Z",
  "title": "Convergence of Brownian motions on RCD*(K,N) spaces",
  "authors": [
    "Kohei Suzuki"
  ],
  "comment": "32 pages",
  "categories": [
    "math.PR",
    "math.MG"
  ],
  "abstract": "Suppose that a sequence of metric measure spaces X_n=(X_n, d_n, m_n) satisfies RCD*(K,N) with Diam(X_n) <D and m_n(X_n)=1. Then Sturm's D-convergence of X_n is equivalent to the weak convergence of the laws of Brownian motions on X_n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-07T13:15:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "53C23"
    ],
    "keywords": [
      "brownian motions",
      "metric measure spaces",
      "sturms d-convergence",
      "weak convergence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150902025S"
    }
  }
}