{
  "id": "2407.09824",
  "version": "v1",
  "published": "2024-07-13T09:34:34.000Z",
  "updated": "2024-07-13T09:34:34.000Z",
  "title": "Central Limit Theorem on the Conjugacy Measure of Symmetric Groups",
  "authors": [
    "Yuhui Jin"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "Regarding the conjugacy representation on symmetric groups, we initiate a normalized measure emerging from this representation, namely the conjugacy measure. A central limit theorem for character ratios of random representations of the symmetric group on the conjugacy measure is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-13T09:34:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05Exx"
    ],
    "keywords": [
      "central limit theorem",
      "conjugacy measure",
      "symmetric group",
      "character ratios",
      "random representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}