{
  "id": "1412.6333",
  "version": "v1",
  "published": "2014-12-19T13:21:43.000Z",
  "updated": "2014-12-19T13:21:43.000Z",
  "title": "The continuum random tree is the scaling limit of unlabelled unrooted trees",
  "authors": [
    "Benedikt Stufler"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove that the uniform unlabelled unrooted tree with $n$ vertices converges in the Gromov-Hausdorff sense after a suitable rescaling to the Brownian continuum random tree. This proves a conjecture by Aldous. We also treat the case of vertex-degree restrictions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T13:21:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60C05",
      "05C05"
    ],
    "keywords": [
      "scaling limit",
      "brownian continuum random tree",
      "uniform unlabelled unrooted tree",
      "vertices converges",
      "gromov-hausdorff sense"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.6333S"
    }
  }
}