{
  "id": "1309.0970",
  "version": "v1",
  "published": "2013-09-04T10:49:40.000Z",
  "updated": "2013-09-04T10:49:40.000Z",
  "title": "Discrete random walk with geometric absorption",
  "authors": [
    "Theo van Uem"
  ],
  "comment": "4 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a discrete random walk (RW) in n dimensions . The RW is adapted with a geometric absorption process: at any discrete time there is a constant probability that absorption occurs in the current state. To model the RW with geometric absorption we use the concept of a multiple function barrier (MFB). In a MFB there is a modification of the original RW: each transition probability in the original RW is multiplied by {\\beta} and there is an additional probability (1-{\\beta}) of absorption, where 0<{\\beta}<1. We study three cases: one-dimensional simple asymmetric RW, n-dimensional simple symmetric RW (n>1) and a two level RW.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-04T10:49:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J10"
    ],
    "keywords": [
      "discrete random walk",
      "original rw",
      "geometric absorption process",
      "multiple function barrier",
      "discrete time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0970V"
    }
  }
}