{
  "id": "2007.04352",
  "version": "v1",
  "published": "2020-07-08T18:14:28.000Z",
  "updated": "2020-07-08T18:14:28.000Z",
  "title": "Accessibility and centralizers for partially hyperbolic flows",
  "authors": [
    "Todd Fisher",
    "Boris Hasselblatt"
  ],
  "comment": "15 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Stable accessibility for partially hyperbolic diffeomorphisms is central to their ergodic theory, and we establish its \\(C^1\\)-density among 1. all, 2. volume-preserving, 3. symplectic, and 4. contact partially hyperbolic flows. As applications, we obtain in each of these 4 categories \\(C^1\\)-density of \\(C^1\\)-stable topological transitivity, ergodicity, and triviality of the centralizer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-08T18:14:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30"
    ],
    "keywords": [
      "centralizer",
      "contact partially hyperbolic flows",
      "partially hyperbolic diffeomorphisms",
      "ergodic theory",
      "symplectic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}