{
  "id": "1510.03606",
  "version": "v1",
  "published": "2015-10-13T09:54:56.000Z",
  "updated": "2015-10-13T09:54:56.000Z",
  "title": "Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions",
  "authors": [
    "Dan Lascu"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider a family $\\{T_N:N \\geq 1 \\}$ of interval maps as generalizations of the Gauss transformation. For the continued fraction expansion arising from $T_N$, we solve its Gauss-Kuzmin-type problem by applying the theory of random systems with complete connections by Iosifescu.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-13T09:54:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J70",
      "11K50"
    ],
    "keywords": [
      "complete connections",
      "gauss-kuzmin theorem",
      "n-continued fractions",
      "dependence",
      "random systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151003606L"
    }
  }
}