{
  "id": "1203.0142",
  "version": "v1",
  "published": "2012-03-01T10:52:06.000Z",
  "updated": "2012-03-01T10:52:06.000Z",
  "title": "Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics",
  "authors": [
    "Fernando Micena",
    "Ali Tahzibi"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this work we study relations between regularity of invariant foliations and Lyapunov exponents of partially hyperbolic diffeomorphisms. We suggest a new regularity condition for foliations in terms of desintegration of Lebesgue measure which can be considered as a criterium for rigidity of Lyapunov exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-01T10:52:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37Dxx"
    ],
    "keywords": [
      "lyapunov exponents",
      "partially hyperbolic dynamics",
      "study relations",
      "invariant foliations",
      "partially hyperbolic diffeomorphisms"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/26/4/1071",
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Apr",
      "volume": 26,
      "number": 4,
      "pages": 1071
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26.1071M"
    }
  }
}