{
  "id": "1304.6744",
  "version": "v4",
  "published": "2013-04-24T20:44:00.000Z",
  "updated": "2013-10-19T03:16:47.000Z",
  "title": "Central Limit Theorem for Linear Statistics of Eigenvalues of Band Random Matrices",
  "authors": [
    "Lingyun Li",
    "Alexander Soshnikov"
  ],
  "comment": "minor revision; to appear in Random Matrices: Theory and Applications",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove the Central Limit Theorem for linear statistics of the eigenvalues of band random matrices provided $\\sqrt{n} \\ll b_n \\ll n$ and test functions are sufficiently smooth.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-10-19T03:16:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B20"
    ],
    "keywords": [
      "central limit theorem",
      "band random matrices",
      "linear statistics",
      "eigenvalues",
      "test functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.6744L"
    }
  }
}