{
  "id": "0811.3682",
  "version": "v2",
  "published": "2008-11-22T12:14:31.000Z",
  "updated": "2023-07-25T16:03:50.000Z",
  "title": "Random walk with barriers on a graph",
  "authors": [
    "Theo van Uem"
  ],
  "comment": "Accepted for publication by North-Western European Journal of Mathematics; Number 7 -2021, p 67-79",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain expected number of arrivals, absorption probabilities and expected time until absorption for an asymmetric discrete random walk on a graph in the presence of multiple function barriers. On each edge of the graph and in each vertex (barrier) specific probabilities are defined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-22T12:14:31.000Z",
      "title": "Discrete random walk with barriers on a locally infinite graph",
      "abstract": "We obtain expected number of arrivals, absorption probabilities and expected time before absorption for an asymmetric discrete random walk on a locally infinite graph in the presence of multiple function barriers",
      "comment": "21 pages, 6 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2023-07-25T16:03:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05"
    ],
    "keywords": [
      "locally infinite graph",
      "asymmetric discrete random walk",
      "multiple function barriers",
      "absorption probabilities",
      "expected number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.3682V"
    }
  }
}