{
  "id": "1906.09949",
  "version": "v1",
  "published": "2019-06-24T13:34:48.000Z",
  "updated": "2019-06-24T13:34:48.000Z",
  "title": "Time Scales of the Fredrickson-Andersen Model on Polluted $\\mathbb{Z}^{2}$ and $\\mathbb{Z}^{3}$",
  "authors": [
    "Assaf Shapira",
    "Erik Slivken"
  ],
  "comment": "20 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the Kinetically Constrained Model on the polluted square lattice, with two-neighbor constraints. For a quenched polluted environment with low pollution density we give bounds on the infection time of the origin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-24T13:34:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "fredrickson-andersen model",
      "time scales",
      "low pollution density",
      "two-neighbor constraints",
      "polluted square lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}