{
  "id": "1311.5361",
  "version": "v2",
  "published": "2013-11-21T10:53:11.000Z",
  "updated": "2014-08-26T08:27:39.000Z",
  "title": "On the Hausdorff dimension of the Rauzy gasket",
  "authors": [
    "Artur Avila",
    "Pascal Hubert",
    "Alexandra Skripchenko"
  ],
  "comment": "17 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper, we prove that the Hausdorff dimension of the Rauzy gasket is less than 2. By this result, we answer a question addressed by Pierre Arnoux. Also, this question is a very particular case of the conjecture stated by S.P. Novikov and A. Ya. Maltsev in 2003.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-21T10:53:11.000Z",
      "abstract": "In this paper, we answer a question addressed by Pierre Arnoux. We prove that the Hausdorff dimension of the Rauzy gasket is less than 2.",
      "comment": "16 pages, 4 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-26T08:27:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37E35"
    ],
    "keywords": [
      "rauzy gasket",
      "hausdorff dimension",
      "pierre arnoux"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5361A"
    }
  }
}