{
  "id": "2003.03781",
  "version": "v1",
  "published": "2020-03-08T13:36:00.000Z",
  "updated": "2020-03-08T13:36:00.000Z",
  "title": "Mixing times for the simple exclusion process with open boundaries",
  "authors": [
    "Nina Gantert",
    "Evita Nestoridi",
    "Dominik Schmid"
  ],
  "comment": "40 pages, 9 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study mixing times of the symmetric and asymmetric simple exclusion process on the segment where particles are allowed to enter and exit at the endpoints. We consider different regimes depending on the entering and exiting rates as well as on the rates in the bulk, and show that the process exhibits pre-cutoff and in some special cases even cutoff.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-08T13:36:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60J27",
      "82C22"
    ],
    "keywords": [
      "open boundaries",
      "asymmetric simple exclusion process",
      "special cases",
      "study mixing times"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}