{
  "id": "1612.09361",
  "version": "v1",
  "published": "2016-12-30T01:05:54.000Z",
  "updated": "2016-12-30T01:05:54.000Z",
  "title": "Continuity of Lyapunov exponents in the C0 topology",
  "authors": [
    "Marcelo Viana",
    "Jiagang Yang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the Bochi-Ma\\~{n}\\'{e} theorem is false, in general, for linear cocycles over non-invertible maps: there are C0-open subsets of linear cocycles that are not uniformly hyperbolic and yet have Lyapunov exponents bounded from zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-30T01:05:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A99",
      "37C40",
      "37D20",
      "37H15"
    ],
    "keywords": [
      "lyapunov exponents",
      "c0 topology",
      "continuity",
      "linear cocycles",
      "c0-open subsets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}