{
  "id": "0812.0277",
  "version": "v2",
  "published": "2008-12-01T12:07:21.000Z",
  "updated": "2008-12-16T14:25:06.000Z",
  "title": "Stable ergodicity of dominated systems",
  "authors": [
    "Martin Andersson"
  ],
  "comment": "22 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We provide a new approach to stable ergodicity of systems with dominated splittings, based on a geometrical analysis of global stable and unstable manifolds of hyperbolic points. Our method suggests that the lack of uniform size of Pesin's local stable and unstable manifolds - a notorious problem in the theory of non-uniform hyperbolicity - is often less severe than it appeas to be.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-12-16T14:25:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37D25"
    ],
    "keywords": [
      "stable ergodicity",
      "dominated systems",
      "unstable manifolds",
      "hyperbolic points",
      "non-uniform hyperbolicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.0277A"
    }
  }
}