{
  "id": "1202.4986",
  "version": "v2",
  "published": "2012-02-22T17:43:05.000Z",
  "updated": "2012-02-23T14:43:15.000Z",
  "title": "Time-Changes of Horocycle Flows",
  "authors": [
    "Giovanni Forni",
    "Corinna Ulcigrai"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider smooth time-changes of the classical horocycle flows on the unit tangent bundle of a compact hyperbolic surface and prove sharp bounds on the rate of equidistribution and the rate of mixing. We then derive results on the spectrum of smooth time-changes and show that the spectrum is absolutely continuous with respect to the Lebesgue measure on the real line and that the maximal spectral type is equivalent to Lebesgue.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-23T14:43:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37A30",
      "37C40",
      "37D40"
    ],
    "keywords": [
      "smooth time-changes",
      "maximal spectral type",
      "unit tangent bundle",
      "compact hyperbolic surface",
      "sharp bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.4986F"
    }
  }
}