{
  "id": "0705.3812",
  "version": "v3",
  "published": "2007-05-25T17:27:29.000Z",
  "updated": "2010-07-14T10:02:38.000Z",
  "title": "Dynamics of the Teichmueller flow on compact invariant sets",
  "authors": [
    "Ursula Hamenstaedt"
  ],
  "comment": "Final version",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let Q(S) be the moduli space of area one holomorphic quadratic differentials for an oriented surface S of genus g with m punctures and 3g-3+m>1. We show that the supremum over all compact subsets K of Q(S) of the asymptotic growth rate of the number of periodic orbits of the Teichmueller flow which are contained in K equals h=6g-6+2m. Moreover, h is also the supremum of the topological entropies of the restriction of the Teichmueller flow to compact invariant subsets of Q(S).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-07-14T10:02:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A20",
      "30F60"
    ],
    "keywords": [
      "compact invariant sets",
      "teichmueller flow",
      "compact invariant subsets",
      "asymptotic growth rate",
      "holomorphic quadratic differentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.3812H"
    }
  }
}