{
  "id": "2209.00241",
  "version": "v1",
  "published": "2022-09-01T06:06:34.000Z",
  "updated": "2022-09-01T06:06:34.000Z",
  "title": "Speed Function for Biased Random Walks with Traps",
  "authors": [
    "Volker Betz",
    "Matthias Meiners",
    "Ivana Tomic"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a biased nearest-neighbor random walk on $\\Z$ which at each step is trapped for some random time with random, site-dependent mean. We derive a simple formula for the speed function in terms of the model parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-01T06:06:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F15"
    ],
    "keywords": [
      "biased random walks",
      "speed function",
      "biased nearest-neighbor random walk",
      "random time",
      "site-dependent mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}