{
  "id": "1112.4024",
  "version": "v4",
  "published": "2011-12-17T04:57:35.000Z",
  "updated": "2019-07-07T13:52:11.000Z",
  "title": "Ergodicity of unipotent flows and Kleinian groups",
  "authors": [
    "Amir Mohammadi",
    "Hee Oh"
  ],
  "comment": "49 pages",
  "categories": [
    "math.DS",
    "math.GT"
  ],
  "abstract": "Let M be a non-elementary convex cocompact hyperbolic 3 manifold and delta the critical exponent of its fundamental group. We prove that a one-dimensional unipotent flow for the frame bundle of M is ergodic for the Burger-Roblin measure if and only if delta>1.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-04-06T07:28:14.000Z",
      "comment": "52 pages, final version, to appear in JAMS",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2019-07-07T13:52:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kleinian groups",
      "non-elementary convex cocompact hyperbolic",
      "ergodicity",
      "one-dimensional unipotent flow",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.4024M"
    }
  }
}