{
  "id": "1311.6428",
  "version": "v2",
  "published": "2013-11-25T20:08:00.000Z",
  "updated": "2014-11-14T19:57:50.000Z",
  "title": "Sudakov-type minoration for log-concave vectors",
  "authors": [
    "Rafał Latała"
  ],
  "comment": "27 pages, updated references and corrected typos",
  "journal": "Studia Math. 223 (2014), 251-274",
  "doi": "10.4064/sm223-3-5",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We formulate and discuss a conjecture concerning lower bounds for norms of log-concave vectors, which generalizes the classical Sudakov minoration principle for Gaussian vectors. We show that the conjecture holds for some special classes of log-concave measures and some weaker forms of it are satisfied in the general case. We also present some applications based on chaining techniques.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-25T20:08:00.000Z",
      "comment": "23 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-14T19:57:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "46B09",
      "52A20"
    ],
    "keywords": [
      "log-concave vectors",
      "sudakov-type minoration",
      "conjecture concerning lower bounds",
      "classical sudakov minoration principle",
      "weaker forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.6428L"
    }
  }
}