{
  "id": "math/0311127",
  "version": "v1",
  "published": "2003-11-09T14:02:14.000Z",
  "updated": "2003-11-09T14:02:14.000Z",
  "title": "Uniform infinite planar triangulation and related time-reversed critical branching process",
  "authors": [
    "Maxim Krikun"
  ],
  "comment": "27 pages, 5 figures, LaTeX",
  "journal": "Journal of Mathematical Sciences, vol 131, no 2, 2005, pp 5520-5537",
  "doi": "10.1007/s10958-005-0424-4",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "We establish a connection between the uniform infinite planar triangulation and some critical time-reversed branching process. This allows to find a scaling limit for the principal boundary component of a ball of radius R for large R (i.e. for a boundary component separating the ball from infinity). We show also that outside of R-ball a contour exists that has length linear in R.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-09T14:02:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "60J80",
      "05C30",
      "05C80"
    ],
    "keywords": [
      "uniform infinite planar triangulation",
      "related time-reversed critical branching process",
      "boundary component"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11127K"
    }
  }
}