{
  "id": "math-ph/0210047",
  "version": "v1",
  "published": "2002-10-25T06:23:57.000Z",
  "updated": "2002-10-25T06:23:57.000Z",
  "title": "Integrated density of states for ergodic random Schrödinger operators on manifolds",
  "authors": [
    "Norbert Peyerimhoff",
    "Ivan Veselić"
  ],
  "comment": "LaTeX 2e, amsart, 17 pages; appeared in a somewhat different form in Geometriae Dedicata, 91 (1): 117-135, (2002)",
  "journal": "Geometriae Dedicata, 91 (1): 117-135, (2002)",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider the Riemannian universal covering of a compact manifold $M = X / \\Gamma$ and assume that $\\Gamma$ is amenable. We show for an ergodic random family of Schr\\\"odinger operators on $X$ the existence of a (non-random) integrated density of states.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-25T06:23:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "58J35",
      "47B80"
    ],
    "keywords": [
      "ergodic random schrödinger operators",
      "integrated density",
      "compact manifold",
      "riemannian universal covering",
      "ergodic random family"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.ph..10047P"
    }
  }
}