{
  "id": "math-ph/0110040",
  "version": "v1",
  "published": "2001-10-31T18:32:54.000Z",
  "updated": "2001-10-31T18:32:54.000Z",
  "title": "Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential",
  "authors": [
    "J. Bourgain",
    "S. Jitomirskaya"
  ],
  "categories": [
    "math-ph",
    "math.DS",
    "math.MP"
  ],
  "abstract": "We study regularity properties of the Lyapunov exponent L of quasiperiodic operators with analytic potential, under no assumptions on the Diophantine class of the frequency. We prove that L is jointly continuous, in frequency and energy, at every irrational frequency.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-10-31T18:32:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q99",
      "37D25"
    ],
    "keywords": [
      "lyapunov exponent",
      "quasiperiodic operators",
      "analytic potential",
      "continuity",
      "study regularity properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.ph..10040B"
    }
  }
}