{
  "id": "1112.5690",
  "version": "v1",
  "published": "2011-12-24T03:14:55.000Z",
  "updated": "2011-12-24T03:14:55.000Z",
  "title": "The local $C^1$-density of stable ergodicity",
  "authors": [
    "Yunhua Zhou"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "The center bundle of a conservative partially hyperbolic diffeomorphism $f$ is called robustly non-hyperbolic if any conservative diffeomorphism which is $C^1$-close to $f$ has non-hyperbolic center bundle. In this paper, we prove that stable ergodicity is $C^1$-dense among conservative partially hyperbolic systems with robust non-hyperbolic center.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-24T03:14:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stable ergodicity",
      "non-hyperbolic center bundle",
      "robust non-hyperbolic center",
      "conservative partially hyperbolic diffeomorphism",
      "conservative partially hyperbolic systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5690Z"
    }
  }
}