{
  "id": "1103.1473",
  "version": "v1",
  "published": "2011-03-08T09:28:40.000Z",
  "updated": "2011-03-08T09:28:40.000Z",
  "title": "A Wegner estimate for Wigner matrices",
  "authors": [
    "Anna Maltsev",
    "Benjamin Schlein"
  ],
  "comment": "15 pages. Contribution to the lecture notes of the 2010 Arizona School of Analysis",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the first part of these notes, we review some of the recent developments in the study of the spectral properties of Wigner matrices. In the second part, we present a new proof of a Wegner estimate for the eigenvalues of a large class of Wigner matrices. The Wegner estimate gives an upper bound for the probability to find an eigenvalue in an interval $I$, proportional to the size $|I|$ of the interval.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-08T09:28:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A52",
      "82B44"
    ],
    "keywords": [
      "wigner matrices",
      "wegner estimate",
      "first part",
      "eigenvalue",
      "upper bound"
    ],
    "tags": [
      "lecture notes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.1473M"
    }
  }
}