{
  "id": "0706.3334",
  "version": "v1",
  "published": "2007-06-22T13:55:45.000Z",
  "updated": "2007-06-22T13:55:45.000Z",
  "title": "Radius and profile of random planar maps with faces of arbitrary degrees",
  "authors": [
    "Grégory Miermont",
    "Mathilde Weill"
  ],
  "comment": "25 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove some asymptotic results for the radius and the profile of large random rooted planar maps with faces of arbitrary degrees. Using a bijection due to Bouttier, Di Francesco and Guitter between rooted planar maps and certain four-type trees with positive labels, we derive our results from a conditional limit theorem for four-type spatial Galton-Watson trees.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-22T13:55:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60J80",
      "05J30"
    ],
    "keywords": [
      "random planar maps",
      "arbitrary degrees",
      "large random rooted planar maps",
      "four-type spatial galton-watson trees",
      "conditional limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.3334M"
    }
  }
}