{
  "id": "0906.2176",
  "version": "v1",
  "published": "2009-06-11T18:40:01.000Z",
  "updated": "2009-06-11T18:40:01.000Z",
  "title": "Symbolic extensions for partially hyperbolic diffeomorphisms",
  "authors": [
    "Lorenzo J. Diaz",
    "Todd Fisher"
  ],
  "comment": "19 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that every partially hyperbolic diffeomorphism with a 1-dimensional center bundle has a principal symbolic extension. On the other hand, we show there are no symbolic extensions $C^1$-generically among diffeomorphisms containing non-hyperbolic robustly transitive sets with center indecomposable bundle of dimension at least 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-11T18:40:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37C05",
      "37C20",
      "37B10"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphism",
      "principal symbolic extension",
      "diffeomorphisms containing non-hyperbolic",
      "containing non-hyperbolic robustly transitive sets",
      "center bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.2176D"
    }
  }
}