{
  "id": "1506.08975",
  "version": "v1",
  "published": "2015-06-30T07:48:49.000Z",
  "updated": "2015-06-30T07:48:49.000Z",
  "title": "Remark on the stability of Log-Sobolev inequality for Gaussian measure",
  "authors": [
    "Filomena Feo",
    "Maria Rosaria Posteraro",
    "Cyril Roberto"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a distance introduced by Bucur and Fragal\\`a.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-30T07:48:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian measure",
      "log-sobolev inequality",
      "talagrand transport-entropy inequality",
      "logarithmic sobolev inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}