{
  "id": "1305.5563",
  "version": "v1",
  "published": "2013-05-23T20:39:41.000Z",
  "updated": "2013-05-23T20:39:41.000Z",
  "title": "A gauss-kuzmin theorem and related questions for $θ$-expansions",
  "authors": [
    "Gabriela Ileana Sebe",
    "Dan Lascu"
  ],
  "comment": "27 pages",
  "doi": "10.1155/2014/980461",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "Using the natural extension for $\\theta$-expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients of these expansions. Together with the ergodic behavior of a certain homogeneous random system with complete connections, this allows us to solve a variant of Gauss-Kuzmin problem for the above fraction expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-23T20:39:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "11K50"
    ],
    "keywords": [
      "gauss-kuzmin theorem",
      "related questions",
      "infinite-order-chain representation",
      "incomplete quotients",
      "ergodic behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Hindawi",
      "journal": "Adv. High Energ. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5563I"
    }
  }
}