{
  "id": "1607.07339",
  "version": "v1",
  "published": "2016-07-25T16:16:30.000Z",
  "updated": "2016-07-25T16:16:30.000Z",
  "title": "Chaotic and Topological Properties of Continued Fractions",
  "authors": [
    "Weibin Liu",
    "Bing Li"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that there exists a scrambled set for the Gauss map with full Hausdorff dimension. Meanwhile, we also investigate the topological properties of the sets of points with dense or non-dense orbits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-25T16:16:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "37F35",
      "74H65"
    ],
    "keywords": [
      "topological properties",
      "continued fractions",
      "full hausdorff dimension",
      "non-dense orbits",
      "gauss map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}