{
  "id": "1910.03049",
  "version": "v1",
  "published": "2019-10-07T19:34:44.000Z",
  "updated": "2019-10-07T19:34:44.000Z",
  "title": "Joint Hölder continuity of local time for a class of interacting branching measure valued diffusions",
  "authors": [
    "Donald Andrew Dawson",
    "Jean Vaillancourt",
    "Hao Wang"
  ],
  "comment": "27 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Using a Tanaka representation of the local time for a class of superprocesses with dependent spatial motion, as well as sharp estimates from the theory of uniformly parabolic partial differential equations, the joint H\\\"older continuity in time and space of said local times is obtained in two and three dimensional Euclidean space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-07T19:34:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J68",
      "60J80",
      "60H15",
      "60K35",
      "60K37"
    ],
    "keywords": [
      "interacting branching measure valued diffusions",
      "local time",
      "joint hölder continuity",
      "parabolic partial differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}