{
  "id": "0912.3246",
  "version": "v1",
  "published": "2009-12-16T21:28:04.000Z",
  "updated": "2009-12-16T21:28:04.000Z",
  "title": "Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators",
  "authors": [
    "Artur Avila",
    "Svetlana Jitomirskaya"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS",
    "math.SP"
  ],
  "abstract": "We establish sharp results on the modulus of continuity of the distribution of the spectral measure for one-frequency Schrodinger operators with Diophantine frequencies in the region of absolutely continuous spectrum. More precisely, we establish 1/2-Holder continuity near almost reducible energies (an essential support of absolutely continuous spectrum). For non-perturbatively small potentials (and for the almost Mathieu operator with subcritical coupling), our results apply for all energies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-16T21:28:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-frequency schrodinger operators",
      "absolutely continuous spectral measures",
      "holder continuity",
      "absolutely continuous spectrum",
      "establish sharp results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-010-1147-z",
      "journal": "Communications in Mathematical Physics",
      "year": 2011,
      "month": "Jan",
      "volume": 301,
      "number": 2,
      "pages": 563
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011CMaPh.301..563A"
    }
  }
}