{
  "id": "1006.3028",
  "version": "v2",
  "published": "2010-06-15T16:48:08.000Z",
  "updated": "2011-07-15T10:26:40.000Z",
  "title": "Representation formula for the entropy and functional inequalities",
  "authors": [
    "Joseph Lehec"
  ],
  "comment": "18 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "We prove a stochastic formula for the Gaussian relative entropy in the spirit of Borell's formula for the Laplace transform. As an application, we give unified and short proofs of a number of functional inequalities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-15T10:26:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B62",
      "60H30"
    ],
    "keywords": [
      "functional inequalities",
      "representation formula",
      "gaussian relative entropy",
      "short proofs",
      "borells formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.3028L"
    }
  }
}