{
  "id": "2408.16585",
  "version": "v1",
  "published": "2024-08-29T14:49:08.000Z",
  "updated": "2024-08-29T14:49:08.000Z",
  "title": "ASEP via Mallows coloring",
  "authors": [
    "Alexei Borodin",
    "Alexey Bufetov"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we study the asymptotic behavior of the Asymmetric Simple Exclusion Process (=ASEP) with finitely many particles. It turns out that a certain randomized initial condition is the most amenable to such an analysis. Our main result is the behavior of such an ASEP in the KPZ limit regime. A key technical tool introduced in the paper -- the coloring of ASEP particles with the use of random Mallows permutations -- may be of independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-29T14:49:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mallows coloring",
      "asymmetric simple exclusion process",
      "kpz limit regime",
      "random mallows permutations",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}