{
  "id": "math/0605482",
  "version": "v1",
  "published": "2006-05-17T15:18:15.000Z",
  "updated": "2006-05-17T15:18:15.000Z",
  "title": "On the occupation measure of super-Brownian motion",
  "authors": [
    "J. F. Le Gall",
    "M. Merle"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive the asymptotic behavior of the occupation measure of the unit ball, for super-Brownian motion started from the Dirac measure at a distant point x and conditioned to hit the unit ball. In the critical dimension d=4, we obtain a limiting exponential distribution for the ratio of the occupation measure over log(|x|).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-17T15:18:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80",
      "60G57"
    ],
    "keywords": [
      "occupation measure",
      "unit ball",
      "asymptotic behavior",
      "dirac measure",
      "distant point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5482L"
    }
  }
}