{
  "id": "1612.05056",
  "version": "v1",
  "published": "2016-12-15T13:32:30.000Z",
  "updated": "2016-12-15T13:32:30.000Z",
  "title": "Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems",
  "authors": [
    "Lucas Backes",
    "Mauricio Poletti",
    "Paulo Varandas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that generic fiber-bunched and H\\\"older continuous linear cocycles over a non-uniformly hyperbolic system endowed with a u-Gibbs measure have simple Lyapunov spectrum. This gives an affirmative answer to a conjecture proposed by Viana in the context of fiber-bunched cocycles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-15T13:32:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-uniformly hyperbolic system",
      "simplicity",
      "simple lyapunov spectrum",
      "continuous linear cocycles",
      "u-gibbs measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}