{
  "id": "1004.4401",
  "version": "v2",
  "published": "2010-04-26T02:21:33.000Z",
  "updated": "2010-05-27T18:48:26.000Z",
  "title": "Asymptotics of Weil-Petersson geodesics II: bounded geometry and unbounded entropy",
  "authors": [
    "Jeffrey Brock",
    "Howard Masur",
    "Yair Minsky"
  ],
  "comment": "39 Pages, 3 figures. Minor revisions",
  "categories": [
    "math.GT"
  ],
  "abstract": "We use ending laminations for Weil-Petersson geodesics to establish that bounded geometry is equivalent to bounded combinatorics for Weil-Petersson geodesic segments, rays, and lines. Further, a more general notion of non-annular bounded combinatorics, which allows arbitrarily large Dehn-twisting, corresponds to an equivalent condition for Weil-Petersson geodesics. As an application, we show the Weil-Petersson geodesic flow has compact invariant subsets with arbitrarily large topological entropy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-27T18:48:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30F60",
      "37D40"
    ],
    "keywords": [
      "bounded geometry",
      "unbounded entropy",
      "asymptotics",
      "weil-petersson geodesic segments",
      "compact invariant subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4401B"
    }
  }
}