{
  "id": "1502.04178",
  "version": "v1",
  "published": "2015-02-14T07:52:40.000Z",
  "updated": "2015-02-14T07:52:40.000Z",
  "title": "Second order concentration on the sphere",
  "authors": [
    "S. G. Bobkov",
    "G. P. Chistyakov",
    "F. Götze"
  ],
  "comment": "Extended version including an appendix on spherical calculus",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "Sharpened forms of the concentration of measure phenomenon for classes of functions on the sphere are developed in terms of Hessians of these functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-14T07:52:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60E15",
      "58C35",
      "46E35"
    ],
    "keywords": [
      "second order concentration",
      "measure phenomenon",
      "sharpened forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}