{
  "id": "1407.0336",
  "version": "v2",
  "published": "2014-07-01T18:03:34.000Z",
  "updated": "2016-11-30T14:23:07.000Z",
  "title": "Positive Lyapunov exponents for symplectic cocycles",
  "authors": [
    "Mario Bessa",
    "Paulo Varandas"
  ],
  "comment": "This paper has been withdrawn by the authors due to the incomplete argument when dealing with the \"generic center\" in Lemma 4.6. This argument is completed in a new paper by the authors together with Jairo Bochi, Michel Cambrainha, Carlos Matheus and Disheng Xu",
  "categories": [
    "math.DS"
  ],
  "abstract": "In the present paper we give a positive answer to a question posed by Viana on the existence of positive Lyapunov exponents for symplectic cocycles. Actually, we prove that for an open and dense set of Holder symplectic cocycles over a non-uniformly hyperbolic diffeomorphism there are non-zero Lyapunov exponents with respect to any invariant ergodic measure with the local product structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-01T18:03:34.000Z",
      "comment": "16 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1304.3794",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-11-30T14:23:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive lyapunov exponents",
      "local product structure",
      "invariant ergodic measure",
      "non-zero lyapunov exponents",
      "holder symplectic cocycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0336B"
    }
  }
}