{
  "id": "2404.11529",
  "version": "v1",
  "published": "2024-04-17T16:22:27.000Z",
  "updated": "2024-04-17T16:22:27.000Z",
  "title": "The distribution on permutations induced by a random parking function",
  "authors": [
    "Ross G. Pinsky"
  ],
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "A parking function on $[n]$ creates a permutation in $S_n$ via the order in which the $n$ cars appear in the $n$ parking spaces. Placing the uniform probability measure on the set of parking functions on $[n]$ induces a probability measure on $S_n$. We initiate a study of some properties of this distribution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-17T16:22:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05A05"
    ],
    "keywords": [
      "random parking function",
      "distribution",
      "permutation",
      "uniform probability measure",
      "cars appear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}