{
  "id": "math/0006111",
  "version": "v2",
  "published": "2000-06-15T15:42:29.000Z",
  "updated": "2000-06-16T07:10:38.000Z",
  "title": "Approximate factorization and concentration for characters of symmetric groups",
  "authors": [
    "Philippe Biane"
  ],
  "comment": "12 pages, 2 figures",
  "categories": [
    "math.RT",
    "math.PR"
  ],
  "abstract": "We prove a factorization-concentration result for characters of symmetric groups. This is then applied to the asymptotic behaviour of the decomposition of the tensor representations. There are connections with the Pastur-Marcenko distribution of random matrix theory, and freely infinitely divisible distributions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-06-16T07:10:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric groups",
      "approximate factorization",
      "characters",
      "random matrix theory",
      "factorization-concentration result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......6111B"
    }
  }
}