{
  "id": "1403.6009",
  "version": "v2",
  "published": "2014-03-24T15:41:37.000Z",
  "updated": "2015-06-23T13:13:30.000Z",
  "title": "Simplicity over singular hyperbolicity",
  "authors": [
    "M. Fanaee"
  ],
  "comment": "preliminary version. 14 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that Lyapunov exponents of typical H\\\"older continuous fiber bunched linear cocycles over singular hyperbolic flows have multiplicity 1: the subspace of exceptional cocycles has infinite codimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-24T15:41:37.000Z",
      "comment": "very preliminary version. arXiv admin note: text overlap with arXiv:1208.5694",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-23T13:13:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singular hyperbolicity",
      "simplicity",
      "continuous fiber bunched linear cocycles",
      "singular hyperbolic flows",
      "exceptional cocycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.6009F"
    }
  }
}