{
  "id": "1511.01163",
  "version": "v1",
  "published": "2015-11-03T23:51:23.000Z",
  "updated": "2015-11-03T23:51:23.000Z",
  "title": "Asymmetric Simple Exclusion Process with open boundaries and Quadratic Harnesses",
  "authors": [
    "Wlodek Bryc",
    "Jacek Wesolowski"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "We establish a correspondence between a family of Markov processes called quadratic harnesses and a family of finite state asymmetric exclusion processes with open boundaries. As applications, we give a quick proof of the large deviations principle for the total number of particles in the system, and show how explicit formulas for the average occupancy of a site arise for special choices of parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-03T23:51:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "asymmetric simple exclusion process",
      "quadratic harnesses",
      "open boundaries",
      "finite state asymmetric exclusion processes",
      "large deviations principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}