{
  "id": "2202.11627",
  "version": "v1",
  "published": "2022-02-23T17:04:39.000Z",
  "updated": "2022-02-23T17:04:39.000Z",
  "title": "Dyck paths with catastrophes modulo the positions of a given pattern",
  "authors": [
    "Jean-Luc Baril",
    "Sergey Kirgizov",
    "Armen Petrossian"
  ],
  "comment": "23 pages, 14 figures, 1 table",
  "categories": [
    "math.CO",
    "cs.DM"
  ],
  "abstract": "For any pattern $p$ of length at most two, we provide generating functions and asymptotic approximations for the number of $p$-equivalence classes of Dyck paths with catastrophes, where two paths of the same length are $p$-equivalent whenever the positions of the occurrences of the pattern $p$ are the same.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-23T17:04:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dyck paths",
      "catastrophes modulo",
      "asymptotic approximations",
      "equivalence classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}