{
  "id": "1212.1903",
  "version": "v2",
  "published": "2012-12-09T17:03:07.000Z",
  "updated": "2013-07-18T17:37:31.000Z",
  "title": "Some abstract Wegner estimates with applications",
  "authors": [
    "Mostafa Sabri"
  ],
  "comment": "21 pages. The paper has been rewritten and expanded",
  "journal": "Letters in Mathematical Physics, 104, (2014)",
  "doi": "10.1007/s11005-013-0666-x",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove some abstract Wegner bounds for random self-adjoint operators. Applications include elementary proofs of Wegner estimates for discrete and continuous Anderson Hamiltonians with possibly sparse potentials, as well as Wegner bounds for quantum graphs with random edge length or random vertex coupling. We allow the coupling constants describing the randomness to be correlated and to have quite general distributions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-07-18T17:37:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "47B80",
      "34B45"
    ],
    "keywords": [
      "abstract wegner estimates",
      "applications",
      "random self-adjoint operators",
      "abstract wegner bounds",
      "random edge length"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Letters in Mathematical Physics",
      "year": 2014,
      "month": "Mar",
      "volume": 104,
      "number": 3,
      "pages": 311
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014LMaPh.104..311S"
    }
  }
}