{
  "id": "math/0607667",
  "version": "v1",
  "published": "2006-07-26T13:28:20.000Z",
  "updated": "2006-07-26T13:28:20.000Z",
  "title": "On the large scale behavior of super-Brownian motion in three dimensions with a single point source",
  "authors": [
    "Klaus Fleischmann",
    "Carl Mueller",
    "Pascal Vogt"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In a recent work, Fleischmann and Mueller (2004) showed the existence of a super-Brownian motion in R^d, d=2,3, with extra birth at the origin. Their construction made use of an analytical approach based on the fundamental solution of the heat equation with a one point potential worked out by Albeverio et al. (1995). The present note addresses two properties of this measure-valued process in the three-dimensional case, namely the scaling of the process and the large scale behavior of its mean.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-26T13:28:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80",
      "60K35"
    ],
    "keywords": [
      "large scale behavior",
      "single point source",
      "super-brownian motion",
      "dimensions",
      "extra birth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7667F"
    }
  }
}