{
  "id": "1004.4349",
  "version": "v1",
  "published": "2010-04-25T13:04:30.000Z",
  "updated": "2010-04-25T13:04:30.000Z",
  "title": "Density of positive Lyapunov exponents for SL(2,R) cocycles",
  "authors": [
    "Artur Avila"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that SL(2,R) cocycles with a positive Lyapunov exponent are dense in all regularity classes and for all non-periodic dynamical systems. For Schr\\\"odinger cocycles, we show prevalence of potentials for which the Lyapunov exponent is positive for a dense set of energies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-04-25T13:04:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive lyapunov exponent",
      "dense set",
      "regularity classes",
      "non-periodic dynamical systems",
      "prevalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4349A"
    }
  }
}