{
  "id": "1409.8002",
  "version": "v1",
  "published": "2014-09-29T06:08:42.000Z",
  "updated": "2014-09-29T06:08:42.000Z",
  "title": "Ergodic components of partially hyperbolic systems",
  "authors": [
    "Andy Hammerlindl"
  ],
  "comment": "42 pages, 3 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper gives a complete classification of the possible ergodic decompositions for certain open families of volume-preserving partially hyperbolic diffeomorphisms. These families include systems with compact center leaves and perturbations of Anosov flows under the condition that the unstable and center bundles are one-dimensional. The paper further shows that the non-open accessibility classes form a $C^1$ lamination and gives results about the accessibility classes of non-volume-preserving systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-29T06:08:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37A25",
      "53C12",
      "57M60"
    ],
    "keywords": [
      "partially hyperbolic systems",
      "ergodic components",
      "non-open accessibility classes form",
      "compact center leaves",
      "volume-preserving partially hyperbolic diffeomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.8002H"
    }
  }
}