{
  "id": "1406.3764",
  "version": "v1",
  "published": "2014-06-14T19:25:13.000Z",
  "updated": "2014-06-14T19:25:13.000Z",
  "title": "Monotone interaction of walk and graph: recurrence versus transience",
  "authors": [
    "Amir Dembo",
    "Ruojun Huang",
    "Vladas Sidoravicius"
  ],
  "comment": "12 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider recurrence versus transience for models of random walks on domains of $\\mathbb{Z}^d$, in which monotone interaction enforces domain growth as a result of visits by the walk (or probes it sent), to the neighborhood of domain boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-14T19:25:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transience",
      "recurrence",
      "monotone interaction enforces domain growth",
      "random walks",
      "domain boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1304505,
      "adsabs": "2014arXiv1406.3764D"
    }
  }
}