{
  "id": "0905.1909",
  "version": "v1",
  "published": "2009-05-12T17:06:02.000Z",
  "updated": "2009-05-12T17:06:02.000Z",
  "title": "Concentration of random determinants and permanent estimators",
  "authors": [
    "Kevin P. Costello",
    "Van Vu"
  ],
  "comment": "17 pages, no figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that the absolute value of the determinant of a matrix with random independent (but not necessarily iid) entries is strongly concentrated around its mean. As an application, we show that the Godsil-Gutman and Barvinok estimators for the permanent of a strictly positive matrix give sub-exponential approximation ratios with high probability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-12T17:06:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15A52"
    ],
    "keywords": [
      "permanent estimators",
      "random determinants",
      "concentration",
      "sub-exponential approximation ratios",
      "random independent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1909C"
    }
  }
}