{
  "id": "2408.15785",
  "version": "v1",
  "published": "2024-08-28T13:28:12.000Z",
  "updated": "2024-08-28T13:28:12.000Z",
  "title": "Asymptotics of dynamic ASEP using duality",
  "authors": [
    "Jeffrey Kuan",
    "Zhengye Zhou"
  ],
  "comment": "32 pages; An accessible version of the PDF will eventually be available at https://tailorswiftbot.godaddysites.com/asymptotics-dynamic-asep",
  "categories": [
    "math.PR"
  ],
  "abstract": "Using a recently developed method for proving asymptotics via orthogonal polynomial duality arXiv:2305.17602, we prove that the dynamic ASEP introduced in arXiv:1701.05239 has asymptotics which are either distributed as the Tracy--Widom \\(F_2,\\) or are almost surely bounded. Using a different duality, we also provide contour integrals formulas for multi--species ASEP, which generalize results for the single--species ASEP.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-28T13:28:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamic asep",
      "contour integrals formulas",
      "orthogonal polynomial duality",
      "single-species asep",
      "multi-species asep"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}