{
  "id": "1103.2002",
  "version": "v1",
  "published": "2011-03-10T11:55:42.000Z",
  "updated": "2011-03-10T11:55:42.000Z",
  "title": "A local limit theorem for triple connections in subcritical Bernoulli percolation",
  "authors": [
    "Massimo Campanino",
    "Michele Gianfelice"
  ],
  "comment": "31 pages",
  "journal": "Probab. Theory Relat. Fields (2009) n.143, pp.353-378",
  "doi": "10.1007/s00440-007-0129-3",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove a local limit theorem for the probability of a site to be connected by disjoint paths to three points in subcritical Bernoulli percolation on $\\mathbb{Z}^{d},\\,d\\geq2$ in the limit where their distances tend to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-10T11:55:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F15",
      "60K35",
      "82B43"
    ],
    "keywords": [
      "local limit theorem",
      "subcritical bernoulli percolation",
      "triple connections",
      "distances tend",
      "disjoint paths"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.2002C"
    }
  }
}