{
  "id": "0809.0603",
  "version": "v2",
  "published": "2008-09-03T12:35:47.000Z",
  "updated": "2008-09-05T11:21:26.000Z",
  "title": "Relation between powers of factors and recurrence function characterizing Sturmian words",
  "authors": [
    "Zuzana Masáková",
    "Edita Pelantová"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.DS"
  ],
  "abstract": "In this paper we use the relation of the index of an infinite aperiodic word and its recurrence function to give another characterization of Sturmian words. As a byproduct, we give a new proof of theorem describing the index of a Sturmian word in terms of the continued fraction expansion of its slope. This theorem was independently proved by Carpi and de Luca, and Damanik and Lenz.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-05T11:21:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R15"
    ],
    "keywords": [
      "recurrence function characterizing sturmian words",
      "infinite aperiodic word",
      "continued fraction expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0603M"
    }
  }
}