{
  "id": "math/0510234",
  "version": "v1",
  "published": "2005-10-11T18:47:44.000Z",
  "updated": "2005-10-11T18:47:44.000Z",
  "title": "On the ergodicity of partially hyperbolic systems",
  "authors": [
    "Keith Burns",
    "Amie Wilkinson"
  ],
  "comment": "46 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Pugh and Shub have conjectured that essential accessibility implies ergodicity, for a $C^2$, partially hyperbolic, volume-preserving diffeomorphism. We prove this conjecture under a mild center bunching assumption, which is satsified by all partially hyperbolic systems with 1-dimensional center bundle. We also obtain ergodicity results for $C^{1+\\gamma}$ partially hyperbolic systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-11T18:47:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37C40"
    ],
    "keywords": [
      "partially hyperbolic systems",
      "essential accessibility implies ergodicity",
      "mild center bunching assumption",
      "conjecture",
      "center bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 46,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10234B"
    }
  }
}