{
  "id": "1704.06055",
  "version": "v1",
  "published": "2017-04-20T08:54:53.000Z",
  "updated": "2017-04-20T08:54:53.000Z",
  "title": "Multidimensional random walk with reflections",
  "authors": [
    "Judith Kloas",
    "Wolfgang Woess"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Reflected random walk in higher dimension arises from an ordinary random walk (sum of i.i.d. random variables): whenever one of the reflecting coordinates becomes negative, its sign is changed, and the process continues from that modified position. One-dimensional reflected random walk is quite well understood from work in 7 decades, but the multidimensional model presents several new difficulties. Here we investigate recurrence questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-20T08:54:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05"
    ],
    "keywords": [
      "multidimensional random walk",
      "reflections",
      "higher dimension arises",
      "ordinary random walk",
      "one-dimensional reflected random walk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}