{
  "id": "1810.11810",
  "version": "v1",
  "published": "2018-10-28T13:22:30.000Z",
  "updated": "2018-10-28T13:22:30.000Z",
  "title": "Random walk on comb-type subsets of Z^2",
  "authors": [
    "Endre Csaki",
    "Antonia Foldes"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the path behavior of the simple symmetric walk on some comb-type subsets of Z^2 which are obtained from Z^2 by removing all horizontal edges belonging to certain sets of values on the y-axis. We obtain some strong approximation results and discuss their consequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-28T13:22:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F17",
      "60G50",
      "60J65"
    ],
    "keywords": [
      "comb-type subsets",
      "random walk",
      "strong approximation results",
      "simple symmetric walk",
      "path behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}