{
  "id": "math/0610864",
  "version": "v3",
  "published": "2006-10-30T18:29:13.000Z",
  "updated": "2006-12-20T14:54:45.000Z",
  "title": "Accessibility and stable ergodicity for partially hyperbolic diffeomorphisms with 1d-center bundle",
  "authors": [
    "F. Rodriguez-Hertz",
    "M. Rodriguez-Hertz",
    "R. Ures"
  ],
  "comment": "22 pages, 9 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that stable ergodicity is C r open and dense among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, for all r in [2,infty]. The proof follows Pugh-Shub program: among conservative partially hyperbolic diffeomorphisms with one-dimensional center bundle, accessibility is C r open and dense, and essential accessibility implies ergodicity.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-12-20T14:54:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37A25"
    ],
    "keywords": [
      "stable ergodicity",
      "1d-center bundle",
      "one-dimensional center bundle",
      "conservative partially hyperbolic diffeomorphisms",
      "essential accessibility implies ergodicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10864R"
    }
  }
}