{
  "id": "1102.4838",
  "version": "v1",
  "published": "2011-02-23T20:35:18.000Z",
  "updated": "2011-02-23T20:35:18.000Z",
  "title": "Excursion and return times of a geodesics to a subset of a hyperbolic Riemann surface",
  "authors": [
    "Andrew Haas"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We calculate the asymptotic average rate at which a generic geodesic on a finite area hyperbolic 2-orbifold returns to a subsurface with geodesic boundary. As a consequence we get the average time a generic geodesic spends in such a subsurface. Related results are obtained for excursions into a collar neighborhood of a simple closed geodesic and the associated distribution of excursion depths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-23T20:35:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E35",
      "30F35"
    ],
    "keywords": [
      "hyperbolic riemann surface",
      "return times",
      "finite area hyperbolic",
      "asymptotic average rate",
      "generic geodesic spends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4838H"
    }
  }
}