{
  "id": "1306.6150",
  "version": "v5",
  "published": "2013-06-26T07:14:22.000Z",
  "updated": "2015-09-12T09:26:44.000Z",
  "title": "Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps",
  "authors": [
    "Nicolas Bédaride",
    "Idrissa Kaboré"
  ],
  "categories": [
    "math.DS",
    "math.CO"
  ],
  "abstract": "We consider the piecewise rotation studied in \\cite{Bosh.Goet.03}, \\cite{Goet.Quas.09} and \\cite{Che.Goe.Qua.12}. If the angle belongs to the set $\\{\\pi/2,\\pi/3,\\pi/6,\\pi/4,\\pi/5\\}$ we give a complete description of the symbolic dynamics of the map in the bijective symmetric cases.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-07-02T04:34:47.000Z",
      "title": "Piecewise rotations: symbolic dynamics",
      "abstract": "We consider the piecewise rotation studied in \\cite{Bosh.Goet.03}, \\cite{Goet.Quas.09} and \\cite{Che.Goe.Qua.12}. If the angle belongs to the set $\\{\\pi/2,\\pi/3,\\pi/6,\\pi/4,\\pi/5\\}$ we give a complete description of the symbolic dynamics of this map whatever the map is bijective, non injective or non surjective.",
      "comment": "New version with more details",
      "journal": null,
      "doi": null
    },
    {
      "version": "v5",
      "updated": "2015-09-12T09:26:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symbolic dynamics",
      "piecewise rotation",
      "complete description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6150B"
    }
  }
}