{
  "id": "1706.08688",
  "version": "v1",
  "published": "2017-06-27T06:51:58.000Z",
  "updated": "2017-06-27T06:51:58.000Z",
  "title": "Deviation inequalities for convex functions motivated by the Talagrand conjecture",
  "authors": [
    "Nathael Gozlan",
    "Mokshay Madiman",
    "Cyril Roberto",
    "Paul-Marie Samson"
  ],
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "Motivated by Talagrand's conjecture on regularization properties of the natural semigroup on the Boolean hypercube, and in particular its continuous analogue involving regularization properties of the Ornstein-Uhlenbeck semigroup acting on in-tegrable functions, we explore deviation inequalities for log-semiconvex functions under Gaussian measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-27T06:51:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "deviation inequalities",
      "talagrand conjecture",
      "regularization properties",
      "gaussian measure",
      "natural semigroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}