{
  "id": "math/0507133",
  "version": "v1",
  "published": "2005-07-07T07:44:15.000Z",
  "updated": "2005-07-07T07:44:15.000Z",
  "title": "Competition between growths governed by Bernoulli Percolation",
  "authors": [
    "Olivier Garet",
    "Régine Marchand"
  ],
  "comment": "30 pages with figures",
  "journal": "Markov Processes and Related Fields 12, 4 (01/12/2006) 695-734",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a competition model on $\\mathbb{Z}^d$ where the two infections are driven by supercritical Bernoulli percolations with distinct parameters $p$ and $q$. We prove that, for any $q$, there exist at most countably many values of $p<\\min(q, \\overrightarrow{p\\_c})$ such that coexistence can occur.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-07T07:44:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "competition model",
      "supercritical bernoulli percolations",
      "distinct parameters"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7133G"
    }
  }
}