{
  "id": "0801.3951",
  "version": "v1",
  "published": "2008-01-25T14:49:21.000Z",
  "updated": "2008-01-25T14:49:21.000Z",
  "title": "Symbolic dynamics for the geodesic flow on Hecke surfaces",
  "authors": [
    "Dieter Mayer",
    "Fredrik Strömberg"
  ],
  "comment": "42 pages, 10 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we discuss a coding and the associated symbolic dynamics for the geodesic flow on Hecke triangle surfaces. We construct an explicit cross section for which the first return map factors through a simple (explicit) map given in terms of the generating map of a particular continued fraction expansion closely related to the Hecke triangle groups. We also obtain explicit expressions for the associated first return times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-25T14:49:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37E05",
      "11A55",
      "11K50"
    ],
    "keywords": [
      "geodesic flow",
      "symbolic dynamics",
      "hecke surfaces",
      "fraction expansion",
      "first return map factors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.3951M"
    }
  }
}