{
  "id": "1505.01113",
  "version": "v1",
  "published": "2015-05-05T18:25:33.000Z",
  "updated": "2015-05-05T18:25:33.000Z",
  "title": "Teichmueller flow and Weil-Petersson flow",
  "authors": [
    "Ursula Hamenstaedt"
  ],
  "comment": "55p, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "For a non-exceptional oriented surface S let Q(S) be the moduli space of area one quadratic differentials. We show that there is a Borel subset E of Q(S) which is invariant under the Teichmueller flow F^t and of full measure for every invariant Borel probability measure, and there is a measurable conjugacy of the restriction of F^t to E into the Weil-Petersson flow. This conjugacy induces a continuous injection H of the space of invariant Borel probability measures for F^t into the space of invariant Borel probability measures for the Weil-Petersson flow. The map H is not surjective, but its image contains the Lebesgue Liouville measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-05T18:25:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F60",
      "37D40",
      "37C15",
      "37C40"
    ],
    "keywords": [
      "weil-petersson flow",
      "invariant borel probability measure",
      "teichmueller flow",
      "lebesgue liouville measure",
      "full measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150501113H"
    }
  }
}