{
  "id": "1601.00319",
  "version": "v1",
  "published": "2016-01-03T18:19:53.000Z",
  "updated": "2016-01-03T18:19:53.000Z",
  "title": "On the cycle structure of the product of random maximal cycles",
  "authors": [
    "Miklos Bona",
    "Boris Pittel"
  ],
  "comment": "30 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The subject of this paper is the cycle structure of the random permutation $\\sigma$ of $[N]$, which is the product of $k$ independent random cycles of maximal length $N$. We use the character-based Fourier transform to study the number of cycles of $\\sigma$ and also the distribution of the elements of the subset $[\\ell]$ among the cycles of $\\sigma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-03T18:19:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A05",
      "05A15",
      "05A16",
      "05D40",
      "05E10"
    ],
    "keywords": [
      "random maximal cycles",
      "cycle structure",
      "independent random cycles",
      "character-based fourier transform",
      "random permutation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160100319B"
    }
  }
}