{
  "id": "math/0106217",
  "version": "v1",
  "published": "2001-06-26T10:37:31.000Z",
  "updated": "2001-06-26T10:37:31.000Z",
  "title": "Coding rotations on intervals",
  "authors": [
    "Jean Berstel",
    "Laurent Vuillon"
  ],
  "comment": "LIAFA report",
  "categories": [
    "math.CO",
    "math.DS"
  ],
  "abstract": "We show that the coding of rotation by $\\alpha$ on $m$ intervals with rationally independent lengths can be recoded over $m$ Sturmian words of angle $\\alpha.$ More precisely, for a given $m$ an universal automaton is constructed such that the edge indexed by the vector of values of the $i$th letter on each Sturmian word gives the value of the $i$th letter of the coding of rotation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-26T10:37:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R15"
    ],
    "keywords": [
      "coding rotations",
      "sturmian word",
      "th letter",
      "rationally independent lengths",
      "universal automaton"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6217B"
    }
  }
}