{
  "id": "2209.09884",
  "version": "v1",
  "published": "2022-09-20T17:37:22.000Z",
  "updated": "2022-09-20T17:37:22.000Z",
  "title": "Capacity of the Range of Random Walks on Free Products of Graphs",
  "authors": [
    "Lorenz A. Gilch"
  ],
  "comment": "14 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article we prove existence of the asymptotic capacity of the range of random walks on free products of graphs. In particular, we will show that the asymptotic capacity of the range is almost surely constant and strictly positive.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-20T17:37:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "20E06"
    ],
    "keywords": [
      "random walks",
      "free products",
      "asymptotic capacity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}