{
  "id": "2009.04520",
  "version": "v2",
  "published": "2020-09-09T19:17:43.000Z",
  "updated": "2021-04-29T13:56:51.000Z",
  "title": "Range of Random Walks on Free Products",
  "authors": [
    "Lorenz A. Gilch"
  ],
  "comment": "38 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article we consider transient nearest neighbour random walks on free products of graphs. We prove that the asymptotic range of these random walks exists and is strictly positive. In particular, we show that the range varies real-analytically in terms of probability measures of constant support. Moreover, we prove a central limit theorem associated with the range of the random walk.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2021-04-29T13:56:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "20E06"
    ],
    "keywords": [
      "free products",
      "transient nearest neighbour random walks",
      "central limit theorem",
      "range varies",
      "probability measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}