{
  "id": "math/0612315",
  "version": "v2",
  "published": "2006-12-12T15:02:38.000Z",
  "updated": "2006-12-15T10:19:39.000Z",
  "title": "Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere",
  "authors": [
    "J. F. Le Gall",
    "F. Paulin"
  ],
  "comment": "22 pages Second version with minor typographical correction",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "We prove that scaling limits of random planar maps which are uniformly distributed over the set of all rooted 2k-angulations are a.s. homeomorphic to the two-dimensional sphere. Our methods rely on the study of certain random geodesic laminations of the disk.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-15T10:19:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05C80"
    ],
    "keywords": [
      "bipartite planar maps",
      "scaling limits",
      "homeomorphic",
      "random geodesic laminations",
      "random planar maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12315L"
    }
  }
}