{
  "id": "1907.12694",
  "version": "v1",
  "published": "2019-07-30T00:38:44.000Z",
  "updated": "2019-07-30T00:38:44.000Z",
  "title": "Diffusive bounds for the critical density of activated random walks",
  "authors": [
    "Amine Asselah",
    "Leonardo T. Rolla",
    "Bruno Schapira"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider symmetric activated random walks on $\\mathbb{Z}$, and show that the critical density $\\zeta_c$ satisfies $c\\sqrt{\\lambda} \\leq \\zeta_c(\\lambda) \\leq C \\sqrt{\\lambda}$ where $\\lambda$ denotes the sleep rate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-30T00:38:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical density",
      "diffusive bounds",
      "symmetric activated random walks",
      "sleep rate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}