{
  "id": "math/0207153",
  "version": "v3",
  "published": "2002-07-18T15:57:41.000Z",
  "updated": "2003-03-04T13:16:14.000Z",
  "title": "Uniform Infinite Planar Triangulations",
  "authors": [
    "Omer Angel",
    "Oded Schramm"
  ],
  "comment": "36 pages, 4 figures; Journal revised version",
  "journal": "Comm.Math.Phys.241:191-213,2003",
  "doi": "10.1007/s00220-003-0932-3",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The existence of the weak limit as n --> infinity of the uniform measure on rooted triangulations of the sphere with n vertices is proved. Some properties of the limit are studied. In particular, the limit is a probability measure on random triangulations of the plane.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-03-04T13:16:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05C30",
      "05C80",
      "81T40"
    ],
    "keywords": [
      "uniform infinite planar triangulations",
      "uniform measure",
      "weak limit",
      "probability measure",
      "random triangulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2003,
      "volume": 241,
      "number": "2-3",
      "pages": 191
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 610523,
      "adsabs": "2003CMaPh.241..191A"
    }
  }
}