{
  "id": "1204.2234",
  "version": "v1",
  "published": "2012-04-10T18:04:00.000Z",
  "updated": "2012-04-10T18:04:00.000Z",
  "title": "Positive Lyapunov Exponents for Quasiperiodic Szego cocycles",
  "authors": [
    "Zhenghe Zhang"
  ],
  "comment": "27 papges",
  "journal": "Nonlinearity 25 (2012) 1771-1797",
  "doi": "10.1088/0951-7715/25/6/1771",
  "categories": [
    "math.DS",
    "math.SP"
  ],
  "abstract": "In this paper we first obtain a formula of averaged Lyapunov exponents for ergodic Szego cocycles via the Herman-Avila-Bochi formula. Then using acceleration, we construct a class of analytic quasi-periodic Szego cocycles with uniformly positive Lyapunov exponents. Finally, a simple application of the main theorem in [Y] allows us to estimate the Lebesgue measure of support of the measure associated to certain class of C1 quasiperiodic 2- sided Verblunsky coefficients. Using the same method, we also recover the [S-S] results for Schrodinger cocycles with nonconstant real analytic potentials and obtain some nonuniform hyperbolicity results for arbitrarily fixed Brjuno frequency and for certain C1 potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-10T18:04:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive lyapunov exponents",
      "quasiperiodic szego cocycles",
      "analytic quasi-periodic szego cocycles",
      "nonconstant real analytic potentials",
      "ergodic szego cocycles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Nonlinearity",
      "year": 2012,
      "month": "Jun",
      "volume": 25,
      "number": 6,
      "pages": 1771
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012Nonli..25.1771Z"
    }
  }
}