{
  "id": "1703.09002",
  "version": "v1",
  "published": "2017-03-27T10:54:12.000Z",
  "updated": "2017-03-27T10:54:12.000Z",
  "title": "On cusp excursions of geodesics and Diophantine approximation",
  "authors": [
    "Manoj Choudhuri"
  ],
  "comment": "25 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this article we describe some new examples of correspondence between Diophantine approximation and homogeneous dynamics, by characterizing two kinds of exceptional orbits of geodesic flow associated with the Modular surface. The characterization uses a two parameter family of continued fraction expansion of endpoints of the lifts to the hyperbolic plane of the corresponding geodesics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-27T10:54:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A17",
      "11J70"
    ],
    "keywords": [
      "diophantine approximation",
      "cusp excursions",
      "geodesic flow",
      "exceptional orbits",
      "modular surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}