{
  "id": "1207.5579",
  "version": "v1",
  "published": "2012-07-24T03:05:31.000Z",
  "updated": "2012-07-24T03:05:31.000Z",
  "title": "Formulas for Lyapunov exponents",
  "authors": [
    "A. T. Baraviera",
    "P. Duarte"
  ],
  "comment": "15 pages, 1 figure",
  "categories": [
    "math.DS"
  ],
  "abstract": "We derive a series summation formula for the average logarithm norm of the action of a matrix on the projective space. This formula is shown to be useful to evaluate some Lyapunov exponents of random $\\SL$-matrix cocycles, which include a special class for which H. Furstenberg had provided an explicit integral formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-24T03:05:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25"
    ],
    "keywords": [
      "lyapunov exponents",
      "explicit integral formula",
      "series summation formula",
      "average logarithm norm",
      "special class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5579B"
    }
  }
}