{
  "id": "math-ph/0203018",
  "version": "v1",
  "published": "2002-03-11T17:43:07.000Z",
  "updated": "2002-03-11T17:43:07.000Z",
  "title": "Dynamical Upper Bounds for One-Dimensional Quasicrystals",
  "authors": [
    "David Damanik"
  ],
  "comment": "14 pages; this paper extends and replaces math-ph/0112013",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Following the Killip-Kiselev-Last method, we prove quantum dynamical upper bounds for discrete one-dimensional Schr\\\"odinger operators with Sturmian potentials. These bounds hold for sufficiently large coupling, almost every rotation number, and every phase.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-03-11T17:43:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81Q10",
      "47B80",
      "68R15"
    ],
    "keywords": [
      "one-dimensional quasicrystals",
      "quantum dynamical upper bounds",
      "sturmian potentials",
      "killip-kiselev-last method",
      "rotation number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}