{
  "id": "0903.0364",
  "version": "v1",
  "published": "2009-03-02T20:02:02.000Z",
  "updated": "2009-03-02T20:02:02.000Z",
  "title": "Modified discrete random walk with absorption",
  "authors": [
    "Theo van Uem"
  ],
  "comment": "14 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We obtain expected number of arrivals, probability of arrival, absorption probabilities and expected time before absorption for a modified discrete random walk on the (sub)set of integers. In a [pqrs] random walk the particle can move one step forward or backward, stay for a moment in the same state or it can be absorbed immediately in the current state. M[pqrs] is a modified version, where probabilities on both sides of a multiple function barrier M are of different [pqrs] type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-02T20:02:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05"
    ],
    "keywords": [
      "modified discrete random walk",
      "multiple function barrier",
      "probability",
      "absorption probabilities",
      "current state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0364V"
    }
  }
}