{
  "id": "1908.07955",
  "version": "v1",
  "published": "2019-08-21T16:02:34.000Z",
  "updated": "2019-08-21T16:02:34.000Z",
  "title": "A central limit theorem for the two-sided descent statistic on Coxeter groups",
  "authors": [
    "Benjamin Brück",
    "Frank Röttger"
  ],
  "comment": "20 pages incl. appendix",
  "categories": [
    "math.CO",
    "math.GR",
    "math.PR"
  ],
  "abstract": "We study the asymptotic behaviour of the statistic (des+ides) which assigns to an element w of a finite Coxeter group W the number of descents of w plus the number of descents of its inverse. Our main result is a central limit theorem for the probability distributions associated to this statistic. This answers a question of Kahle-Stump and generalises work of Chatterjee-Diaconis, \\\"Ozdemir and R\\\"ottger.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-21T16:02:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "05A15",
      "05A16",
      "60F05"
    ],
    "keywords": [
      "central limit theorem",
      "two-sided descent statistic",
      "finite coxeter group",
      "main result",
      "generalises work"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}