{
  "id": "0810.5673",
  "version": "v1",
  "published": "2008-10-31T12:44:38.000Z",
  "updated": "2008-10-31T12:44:38.000Z",
  "title": "The Packing Measure of the Range of Super-Brownian Motion",
  "authors": [
    "Thomas Duquesne"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that the total range of Super-Brownian motion with quadratic branching mechanism has an exact packing measure with respect to the gauge function $g(r)=r^4 (\\log \\log1/r)^{-3}$ in super-critical dimensions $d\\geq 5$. More precisely, we prove that the total occupation measure of Super-Brownian motion is equal to the $g$-packing measure restricted to its range, up to a deterministic multiplicative constant that only depends on space dimension $d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-31T12:44:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G57",
      "60J80",
      "28A78"
    ],
    "keywords": [
      "super-brownian motion",
      "total occupation measure",
      "total range",
      "space dimension",
      "quadratic branching mechanism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5673D"
    }
  }
}