{
  "id": "1802.02394",
  "version": "v1",
  "published": "2018-02-07T11:55:13.000Z",
  "updated": "2018-02-07T11:55:13.000Z",
  "title": "An improved upper bound for critical value of the contact process on $\\mathbb{Z}^d$ with $d\\geq 3$",
  "authors": [
    "Xiaofeng Xue"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we give an improved upper bound for critical value $\\lambda_c$ of the basic contact process on the lattice $\\mathbb{Z}^d$ with $d\\geq 3$. As a direct corollary of out result, \\[ \\lambda_c\\leq 0.384. \\] when $d=3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-07T11:55:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "upper bound",
      "critical value",
      "basic contact process",
      "direct corollary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}