{
  "id": "1008.0367",
  "version": "v2",
  "published": "2010-08-02T18:10:07.000Z",
  "updated": "2013-05-13T10:42:35.000Z",
  "title": "Symbolic Dynamics for the Geodesic Flow on Two-dimensional Hyperbolic Good Orbifolds",
  "authors": [
    "Anke D. Pohl"
  ],
  "comment": "70 pages, several figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We construct cross sections for the geodesic flow on the orbifolds $\\Gamma\\backslash H$ which are tailor-made for the requirements of transfer operator approaches to Maass cusp forms and Selberg zeta functions. Here, $H$ denotes the hyperbolic plane and $\\Gamma$ is a nonuniform geometrically finite Fuchsian group (not necessarily a lattice, not necessarily arithmetic) which satisfies an additional condition of geometric nature. The construction of the cross sections is uniform, geometric, explicit and algorithmic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-13T10:42:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D40",
      "37B10",
      "37C30"
    ],
    "keywords": [
      "geodesic flow",
      "two-dimensional hyperbolic",
      "symbolic dynamics",
      "nonuniform geometrically finite fuchsian group",
      "selberg zeta functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 70,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.0367P"
    }
  }
}