{
  "id": "1011.6610",
  "version": "v1",
  "published": "2010-11-30T17:18:33.000Z",
  "updated": "2010-11-30T17:18:33.000Z",
  "title": "Order statistics and concentration of l_r norms for log-concave vectors",
  "authors": [
    "Rafał Latała"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We establish upper bounds for tails of order statistics of isotropic log-concave vectors and apply them to derive a concentration of l_r norms of such vectors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-30T17:18:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "52A38",
      "60B11"
    ],
    "keywords": [
      "order statistics",
      "concentration",
      "isotropic log-concave vectors",
      "establish upper bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.6610L"
    }
  }
}