{
  "id": "1411.6879",
  "version": "v1",
  "published": "2014-11-25T14:35:09.000Z",
  "updated": "2014-11-25T14:35:09.000Z",
  "title": "Uniform Estimates for Averages of Order Statistics of Matrices",
  "authors": [
    "Richard Lechner",
    "Markus Passenbrunner",
    "Joscha Prochno"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove uniform estimates for the expected value of averages of order statistics of matrices in terms of their largest entries. As an application, we obtain similar probabilistic estimates for $\\ell_p$ norms via real interpolation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-25T14:35:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "05A20"
    ],
    "keywords": [
      "order statistics",
      "uniform estimates",
      "similar probabilistic estimates",
      "largest entries",
      "real interpolation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6879L"
    }
  }
}