{
  "id": "1905.02132",
  "version": "v1",
  "published": "2019-05-06T16:39:07.000Z",
  "updated": "2019-05-06T16:39:07.000Z",
  "title": "Tanaka formula and local time for a class of interacting branching measure-valued diffusions",
  "authors": [
    "Donald A. Dawson",
    "Jean Vaillancourt",
    "Hao Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We construct superprocesses with dependent spatial motion (SDSMs) in Euclidean spaces and show that, even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on $\\R^d$, their local times exist when $d\\le3$. A Tanaka formula is also derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-06T16:39:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J68",
      "60J80",
      "60H15",
      "60K35",
      "60K37",
      "60J68",
      "60J80",
      "60H15",
      "60K35",
      "60K37",
      "60J68",
      "60J80",
      "60H15",
      "60K35",
      "60K37"
    ],
    "keywords": [
      "interacting branching measure-valued diffusions",
      "local time",
      "tanaka formula",
      "dependent spatial motion",
      "unbounded initial positive radon measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}