{
  "id": "1504.05445",
  "version": "v1",
  "published": "2015-04-21T14:26:44.000Z",
  "updated": "2015-04-21T14:26:44.000Z",
  "title": "The Brownian continuum random tree as the unique solution to a fixed point equation",
  "authors": [
    "Marie Albenque",
    "Christina Goldschmidt"
  ],
  "comment": "15 pages, 3 figures",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "In this note, we provide a new characterization of Aldous' Brownian continuum random tree as the unique fixed point of a certain natural operation on continuum trees (which gives rise to a recursive distributional equation). We also show that this fixed point is attractive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-21T14:26:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05C05"
    ],
    "keywords": [
      "brownian continuum random tree",
      "fixed point equation",
      "unique solution",
      "recursive distributional equation",
      "continuum trees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150405445A"
    }
  }
}