{
  "id": "2307.14941",
  "version": "v1",
  "published": "2023-07-27T15:32:30.000Z",
  "updated": "2023-07-27T15:32:30.000Z",
  "title": "Limit profile for the ASEP with one open boundary",
  "authors": [
    "Jimmy He",
    "Dominik Schmid"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the speed of convergence to equilibrium for the asymmetric simple exclusion process (ASEP) on a finite interval with one open boundary. We provide sharp estimates on the total-variation distance from equilibrium and verify that the limit profile undergoes a phase transition from a Gaussian to a KPZ profile.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-27T15:32:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open boundary",
      "asymmetric simple exclusion process",
      "total-variation distance",
      "phase transition",
      "sharp estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}