{
  "id": "0901.0469",
  "version": "v2",
  "published": "2009-01-05T12:18:47.000Z",
  "updated": "2023-07-25T14:53:03.000Z",
  "title": "Random walk and Fibonacci matrices",
  "authors": [
    "Theo van Uem"
  ],
  "comment": "Accepted for publication by Muenster Journal of Mathematics , Volume 15 No 1 2022 p 221-233",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study a discrete random walk on a one-dimensional finite lattice, where each state has different probabilities to move one step forward, backward, staying for a moment or being absorbed. We obtain expected number of arrivals and expected time until absorption using a new concept: Fibonacci matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-05T12:18:47.000Z",
      "title": "General discrete random walk with variable absorbing probabilities",
      "abstract": "We obtain expected number of arrivals, probability of arrival, absorption probabilities and expected time before absorption for a general discrete random walk with variable absorbing probabilities on a finite interval using Fibonacci numbers",
      "comment": "9 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2023-07-25T14:53:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05"
    ],
    "keywords": [
      "general discrete random walk",
      "probability",
      "variable absorbing probabilities",
      "fibonacci numbers",
      "absorption probabilities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}