{
  "id": "math/0211192",
  "version": "v2",
  "published": "2002-11-12T18:01:20.000Z",
  "updated": "2002-11-18T18:38:21.000Z",
  "title": "Concentration of norms and eigenvalues of random matrices",
  "authors": [
    "Mark W. Meckes"
  ],
  "comment": "15 pages; AMS-LaTeX; updated one reference",
  "journal": "J. Funct. Anal. 211 (2004) no. 2, 508-524",
  "doi": "10.1016/S0022-1236(03)00198-8",
  "categories": [
    "math.PR",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We prove concentration results for $\\ell_p^n$ operator norms of rectangular random matrices and eigenvalues of self-adjoint random matrices. The random matrices we consider have bounded entries which are independent, up to a possible self-adjointness constraint. Our results are based on an isoperimetric inequality for product spaces due to Talagrand.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-18T18:38:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A52",
      "15A18",
      "15A60",
      "60F10"
    ],
    "keywords": [
      "eigenvalues",
      "rectangular random matrices",
      "self-adjoint random matrices",
      "product spaces",
      "operator norms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11192M"
    }
  }
}