{
  "id": "1010.0721",
  "version": "v2",
  "published": "2010-10-04T22:19:05.000Z",
  "updated": "2011-10-18T15:41:20.000Z",
  "title": "Entropy-expansiveness for partially hyperbolic diffeomorphisms",
  "authors": [
    "Todd Fisher",
    "Lorenzo J. Diaz",
    "Maria J. Pacifico",
    "Jose L. Vieitez"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that diffeomorphisms with a dominated splitting of the form $E^s\\oplus E^c\\oplus E^u$, where $E^c$ is a nonhyperbolic central bundle that splits in a dominated way into 1-dimensional subbundles, are entropy-expansive. In particular, they have a principal symbolic extension and equilibrium states.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-18T15:41:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37C05",
      "37B10"
    ],
    "keywords": [
      "partially hyperbolic diffeomorphisms",
      "entropy-expansiveness",
      "principal symbolic extension",
      "nonhyperbolic central bundle",
      "equilibrium states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0721F"
    }
  }
}