{
  "id": "1005.5127",
  "version": "v1",
  "published": "2010-05-27T17:26:40.000Z",
  "updated": "2010-05-27T17:26:40.000Z",
  "title": "Log-concave measures",
  "authors": [
    "Denis Feyel",
    "A. Suleyman Ustunel"
  ],
  "journal": "TWMS Journal of Pure and Applied Mathematics, Vol. 1, No.1, p. 92-105, 2010",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We study the log-concave measures, their characterization via the Pr\\'ekopa-Leindler property and also define a subset of it whose elements are called super log-concave measures which have the property of satisfying a logarithmic Sobolev inequality. We give some results about their stability. Certain relations with measure transportation of Monge-Kantorovitch and the Monge-Amp\\'ere equation are also indicated with applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-27T17:26:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "logarithmic sobolev inequality",
      "super log-concave measures",
      "prekopa-leindler property",
      "monge-ampere equation",
      "measure transportation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.5127F"
    }
  }
}