{
  "id": "1507.00829",
  "version": "v1",
  "published": "2015-07-03T06:58:13.000Z",
  "updated": "2015-07-03T06:58:13.000Z",
  "title": "Anti-concentration for random polynomials",
  "authors": [
    "Oanh Nguyen",
    "Van Vu"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR",
    "cs.CC"
  ],
  "abstract": "We prove anti-concentration results for polynomials of independent Rademacher random variables, with arbitrary degree. Our results extend the classical Littlewood-Offord result for linear polynomials, and improve several earlier estimates. As an application, we address a challenge in complexity theory posed by Razborov and Viola.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-03T06:58:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random polynomials",
      "independent rademacher random variables",
      "complexity theory",
      "arbitrary degree",
      "results extend"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150700829M"
    }
  }
}