{
  "id": "1410.0699",
  "version": "v1",
  "published": "2014-10-02T20:12:41.000Z",
  "updated": "2014-10-02T20:12:41.000Z",
  "title": "An abstract continuity theorem for Lyapunov exponents of linear cocycles and an application to random cocycles",
  "authors": [
    "Pedro Duarte",
    "Silvius Klein"
  ],
  "comment": "80 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.FA",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We devise an abstract scheme to prove continuity of the Lyapunov exponents for a general class of linear cocycles. The main assumption is a large deviation type (LDT) estimate, uniform in the data. We provide a modulus of continuity that depends explicitly on the sharpness of the LDT estimate. Moreover, we derive such estimates for a class of irreducible random cocycles of Markovian type, thus proving H\\\"older continuity of their Lyapunov exponents. This is a preliminary version.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-02T20:12:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lyapunov exponents",
      "abstract continuity theorem",
      "linear cocycles",
      "application",
      "large deviation type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 80,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.0699D"
    }
  }
}