{
  "id": "1609.08710",
  "version": "v1",
  "published": "2016-09-27T23:51:06.000Z",
  "updated": "2016-09-27T23:51:06.000Z",
  "title": "Limit theorems for local and occupation times of random walks and Brownian motion on a spider",
  "authors": [
    "Endre Csaki",
    "Miklos Csorgo",
    "Antonia Foldes",
    "Pal Revesz"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "A simple random walk and a Brownian motion are considered on a spider that is a collection of half lines (we call them legs) joined in the origin. We give a strong approximation of these two objects and their local times. For fixed number of legs we establish limit theorems on local and occupation times in n steps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-27T23:51:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F15",
      "60G50",
      "60J65",
      "60J10"
    ],
    "keywords": [
      "occupation times",
      "brownian motion",
      "simple random walk",
      "half lines",
      "strong approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}