{
  "id": "1802.10459",
  "version": "v1",
  "published": "2018-02-27T07:19:04.000Z",
  "updated": "2018-02-27T07:19:04.000Z",
  "title": "Phase Transition for the Contact Process in a Random Environment on Zd*Z+",
  "authors": [
    "Qiang Yao"
  ],
  "comment": "18 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1102.3020",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the basic contact process in a static random environment on the half space Zd*Z+, where the recovery rates are constants and the infection rates are proportional to a series of independent and identically distributed random variables. The environment can be seen as a 'parameterized' version of Yao & Chen(2012). We show that with probability one, the contact process at the critical value dies out. As a corollary, we can get that with probability one, the complete convergence theorem holds for all positive parameters. This is a generalization of the known results for the classical contact process in the half space case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-02-27T07:19:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "phase transition",
      "complete convergence theorem holds",
      "static random environment",
      "half space case",
      "basic contact process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}