{
  "id": "0804.3202",
  "version": "v3",
  "published": "2008-04-21T18:57:12.000Z",
  "updated": "2009-03-19T17:36:37.000Z",
  "title": "Generalized eigenvalue-counting estimates for the Anderson model",
  "authors": [
    "Jean-Michel Combes",
    "François Germinet",
    "Abel Klein"
  ],
  "comment": "Minor revision",
  "doi": "10.1007/s10955-009-9731-3",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We generalize Minami's estimate for the Anderson model and its extensions to $n$ eigenvalues, allowing for $n$ arbitrary intervals and arbitrary single-site probability measures with no atoms. As an application, we derive new results about the multiplicity of eigenvalues and Mott's formula for the ac-conductivity when the single site probability distribution is H\\\"older continuous.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-03-19T17:36:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B44",
      "47B80",
      "60H25"
    ],
    "keywords": [
      "anderson model",
      "generalized eigenvalue-counting estimates",
      "single site probability distribution",
      "arbitrary single-site probability measures",
      "eigenvalues"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Physics",
      "year": 2009,
      "month": "Apr",
      "volume": 135,
      "number": 2,
      "pages": 201
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JSP...135..201C"
    }
  }
}