{
  "id": "1605.08635",
  "version": "v1",
  "published": "2016-05-27T13:36:31.000Z",
  "updated": "2016-05-27T13:36:31.000Z",
  "title": "Second Order Concentration via Logarithmic Sobolev Inequalities",
  "authors": [
    "F. Götze",
    "H. Sambale"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We show sharpened forms of the concentration of measure phenomenon centered at first order stochastic expansions. The bound are based on second order difference operators and second order derivatives. Applications to functions on the discrete cube and stochastic Hoeffding type expansions in mathematical statistics are studied as well as linear eigenvalue statistics in random matrix theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-27T13:36:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "60F10",
      "60B20",
      "62F40"
    ],
    "keywords": [
      "logarithmic sobolev inequalities",
      "second order concentration",
      "second order difference operators",
      "first order stochastic expansions",
      "stochastic hoeffding type expansions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}