{
  "id": "1311.1620",
  "version": "v2",
  "published": "2013-11-07T09:58:34.000Z",
  "updated": "2015-01-27T08:53:32.000Z",
  "title": "Coupling independent walkers and the inclusion process",
  "authors": [
    "Alex Opoku",
    "Frank Redig"
  ],
  "comment": "17 pages, 1 figure. Proof of Theorem 3.2 corrected",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show propagation of local equilibrium for the symmetric inclusion process (SIP) after diffusive rescaling of space and time, as well as the local equilibrium property of the non-equilibrium steady state in the boundary driven SIP. The main tool is self-duality and a coupling between $n$ SIP particles and $n$ independent random walkers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-07T09:58:34.000Z",
      "comment": "17 pages, 2 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-01-27T08:53:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coupling independent walkers",
      "independent random walkers",
      "symmetric inclusion process",
      "local equilibrium property",
      "non-equilibrium steady state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1620O"
    }
  }
}