{
  "id": "1307.0879",
  "version": "v1",
  "published": "2013-07-02T23:23:34.000Z",
  "updated": "2013-07-02T23:23:34.000Z",
  "title": "Cohen-Lenstra heuristics and random matrix theory over finite fields",
  "authors": [
    "Jason Fulman"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let g be a random element of a finite classical group G, and let \\lambda_{z-1}(g) denote the partition corresponding to the polynomial z-1 in the rational canonical form of g. As the rank of G tends to infinity, \\lambda_{z-1}(g) tends to a partition distributed according to a Cohen-Lenstra type measure on partitions. We give sharp upper and lower bounds on the total variation distance between the random partition \\lambda_{z-1}(g) and the Cohen-Lenstra type measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-02T23:23:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random matrix theory",
      "cohen-lenstra heuristics",
      "finite fields",
      "cohen-lenstra type measure",
      "total variation distance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.0879F"
    }
  }
}