{
  "id": "0709.4178",
  "version": "v1",
  "published": "2007-09-26T14:44:29.000Z",
  "updated": "2007-09-26T14:44:29.000Z",
  "title": "Threshold phenomena on product spaces: BKKKL revisited (once more)",
  "authors": [
    "Raphael Rossignol"
  ],
  "comment": "10 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We revisit the work of Bourgain, Kahn, Kalai, Katznelson and Linial (1992) -- referred to as ``BKKKL'' in the title -- about influences on Boolean functions in order to give a precise statement of threshold phenomenon on the product space $\\{1,..., r\\}^\\NN$, generalizing one of the main results of a paper by Talagrand (1994).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-26T14:44:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F20",
      "28A35",
      "60E15"
    ],
    "keywords": [
      "product space",
      "threshold phenomenon",
      "main results",
      "precise statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.4178R"
    }
  }
}