{
  "id": "1509.06742",
  "version": "v1",
  "published": "2015-09-22T19:37:03.000Z",
  "updated": "2015-09-22T19:37:03.000Z",
  "title": "Random walks systems with finite lifetime on $ \\bbZ $",
  "authors": [
    "Elcio Lebensztayn",
    "Fabio Machado",
    "Mauricio Zuluaga"
  ],
  "comment": "3 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a non-homogeneous random walks system on $\\bbZ$ in which each active particle performs a nearest neighbor random walk and activates all inactive particles it encounters up to a total amount of $L$ jumps. We present necessary and sufficient conditions for the process to survive, which means that an infinite number of random walks become activated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-22T19:37:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60G50"
    ],
    "keywords": [
      "finite lifetime",
      "nearest neighbor random walk",
      "non-homogeneous random walks system",
      "active particle performs",
      "infinite number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}