{
  "id": "1607.08742",
  "version": "v1",
  "published": "2016-07-29T09:29:54.000Z",
  "updated": "2016-07-29T09:29:54.000Z",
  "title": "Fixed points of 321-avoiding permutations",
  "authors": [
    "Christopher Hoffman",
    "Douglas Rizzolo",
    "Erik Slivken"
  ],
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "We describe the distribution of the number and location of the fixed points of permu- tations that avoid the pattern 321 via a bijection with rooted plane trees on n + 1 vertices. Using the local limit theorem for Galton-Watson trees, we are able to give an explicit description of the limit of this distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-29T09:29:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05A05"
    ],
    "keywords": [
      "fixed points",
      "permutations",
      "local limit theorem",
      "explicit description",
      "galton-watson trees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}