{
  "id": "math/0512304",
  "version": "v2",
  "published": "2005-12-14T06:52:14.000Z",
  "updated": "2006-10-10T15:49:09.000Z",
  "title": "Local structure of random quadrangulations",
  "authors": [
    "Maxim Krikun"
  ],
  "comment": "23 pages, 10 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "This paper is an adaptation of a method used in \\cite{K} to the model of random quadrangulations. We prove local weak convergence of uniform measures on quadrangulations and show that the local growth of quadrangulation is governed by certain critical time-reversed branching process and the rescaled profile converges to the reversed continuous-state branching process. As an intermediate result we derieve a biparametric generating function for certain class of quadrangulations with boundary.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-10T15:49:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "60J80"
    ],
    "keywords": [
      "random quadrangulations",
      "local structure",
      "local weak convergence",
      "biparametric generating function",
      "uniform measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....12304K"
    }
  }
}