{
  "id": "1705.11150",
  "version": "v1",
  "published": "2017-05-31T15:37:27.000Z",
  "updated": "2017-05-31T15:37:27.000Z",
  "title": "Information transmission and criticality in the contact process",
  "authors": [
    "Marzio Cassandro",
    "Antonio Galves",
    "Eva Löcherbach"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter $\\lambda .$ To do this we define the {\\it sensitivity} of the process to its initial condition. This sensitivity increases for values of $\\lambda < \\lambda_c, $ the value of the critical parameter. The main point of the present paper is that we show that actually it continues increasing even after $ \\lambda_c $ and only starts decreasing for sufficiently large values of $\\lambda .$ This provides a counterexample to the common belief that associates maximal information transmission to criticality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-31T15:37:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G55",
      "60K35",
      "92B99"
    ],
    "keywords": [
      "criticality",
      "associates maximal information transmission",
      "one-dimensional contact process",
      "main point",
      "initial condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}