{
  "id": "1610.07765",
  "version": "v1",
  "published": "2016-10-25T07:42:14.000Z",
  "updated": "2016-10-25T07:42:14.000Z",
  "title": "Invariance principle for `push' tagged particles for a Toom Interface",
  "authors": [
    "Nick Crawford",
    "Wojciech De Roeck"
  ],
  "comment": "32 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In many interacting particle systems, tagged particles move diffusively upon subtracting a drift. General techniques to prove such `invariance principles' are available for reversible processes (Kipnis-Varadhan) and for non-reversible processes in dimension $d>2$. The interest of our paper is that it considers a non-reversible one-dimensional process: the Toom model. The reason that we can prove the invariance principle is that in this model, push-tagged particles move manifestly slower than second-class particles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T07:42:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60Gxx",
      "60Jxx",
      "82Bxx",
      "82Cxx"
    ],
    "keywords": [
      "invariance principle",
      "toom interface",
      "push-tagged particles move manifestly slower",
      "general techniques",
      "interacting particle systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}