{
  "id": "math-ph/0212058",
  "version": "v1",
  "published": "2002-12-19T05:15:59.000Z",
  "updated": "2002-12-19T05:15:59.000Z",
  "title": "Integrated density of states for random metrics on manifolds",
  "authors": [
    "Daniel Lenz",
    "Norbert Peyerimhoff",
    "Ivan Veselic'"
  ],
  "comment": "21 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We study ergodic random Schr\"odinger operators on a covering manifold, where the randomness enters both via the potential and the metric. We prove measurability of the random operators, almost sure constancy of their spectral properties, the existence of a selfaveraging integrated density of states and a \\v{S}ubin type trace formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-19T05:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "58J35",
      "82B44"
    ],
    "keywords": [
      "integrated density",
      "random metrics",
      "study ergodic random schr",
      "type trace formula",
      "randomness enters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.ph..12058L"
    }
  }
}