{
  "id": "math/0608241",
  "version": "v1",
  "published": "2006-08-10T06:51:24.000Z",
  "updated": "2006-08-10T06:51:24.000Z",
  "title": "Characterization of Talagrand's Like Transportation-Cost Inequalities on the Real Line",
  "authors": [
    "Nathael Gozlan"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we give necessary and sufficient conditions for Talagrand's like transportation cost inequalities on the real line. This brings a new wide class of examples of probability measures enjoying a dimension-free concentration of measure property. Another byproduct is the characterization of modified Log-Sobolev inequalities for Log-concave probability measures on R.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-10T06:51:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "26D10"
    ],
    "keywords": [
      "real line",
      "transportation-cost inequalities",
      "characterization",
      "talagrands",
      "log-concave probability measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8241G"
    }
  }
}