{
  "id": "1501.00466",
  "version": "v1",
  "published": "2014-12-17T18:02:25.000Z",
  "updated": "2014-12-17T18:02:25.000Z",
  "title": "Some limit theorems for heights of random walks on spider",
  "authors": [
    "Endre Csáki",
    "Miklós Csörgő",
    "Antonia Földes",
    "Pál Révész"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "A simple symmetric random walk is considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We establish a strong approximation of this random walk by the so-called Brownian spider. Transition probabilities are studied, and for a fixed number of legs we investigate how high the walker can go on the legs in $n$ steps. The heights on the legs are also investigated when the number of legs goes to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-17T18:02:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F15",
      "60G50",
      "60J65",
      "60J10"
    ],
    "keywords": [
      "limit theorems",
      "simple symmetric random walk",
      "half lines",
      "brownian spider",
      "strong approximation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150100466C"
    }
  }
}