{
  "id": "math-ph/0504084",
  "version": "v3",
  "published": "2005-04-29T17:35:51.000Z",
  "updated": "2006-06-09T16:22:56.000Z",
  "title": "Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs",
  "authors": [
    "Michael Aizenman",
    "Simone Warzel"
  ],
  "comment": "Dedicated to Ya. Sinai on the occasion of his seventieth birthday",
  "journal": "Moscow Math. Jour., vol. 5, no. 3 (2005), 499-506",
  "categories": [
    "math-ph",
    "cond-mat.dis-nn",
    "math.MP"
  ],
  "abstract": "We consider radial tree extensions of one-dimensional quasi-periodic Schroedinger operators and establish the stability of their absolutely continuous spectra under weak but extensive perturbations by a random potential. The sufficiency criterion for that is the existence of Bloch-Floquet states for the one dimensional operator corresponding to the radial problem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-06-09T16:22:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47B80",
      "37E10"
    ],
    "keywords": [
      "ac spectra",
      "weak disorder",
      "trees graphs",
      "one-dimensional quasi-periodic schroedinger operators",
      "persistence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.ph...4084A"
    }
  }
}