{
  "id": "0907.3533",
  "version": "v2",
  "published": "2009-07-21T03:17:18.000Z",
  "updated": "2010-06-24T04:03:57.000Z",
  "title": "How typical are pathological foliations in partially hyperbolic dynamics: an example",
  "authors": [
    "Andrey Gogolev"
  ],
  "comment": "10 pages, 2 figures; minor additions and corrections in the second version",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for a large space of volume preserving partially hyperbolic diffeomorphisms of the 3-torus with non-compact central leaves the central foliation generically is non-absolutely continuous.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-24T04:03:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37D20"
    ],
    "keywords": [
      "partially hyperbolic dynamics",
      "pathological foliations",
      "volume preserving partially hyperbolic diffeomorphisms",
      "non-compact central leaves",
      "central foliation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.3533G"
    }
  }
}