{
  "id": "math/0612306",
  "version": "v1",
  "published": "2006-12-12T09:42:08.000Z",
  "updated": "2006-12-12T09:42:08.000Z",
  "title": "On recurrence of reflected random walk on the half-line. With an appendix on results of Martin Benda",
  "authors": [
    "Marc Peigné",
    "Wolfgang Woess"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Let $(Y_n)$ be a sequence of i.i.d. real valued random variables. Reflected random walk $(X_n)$ is defined recursively by $X_0=x \\ge 0$, $X_{n+1} = |X_n - Y_{n+1}|$. In this note, we study recurrence of this process, extending a previous criterion. This is obtained by determining an invariant measure of the embedded process of reflections.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-12T09:42:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J05"
    ],
    "keywords": [
      "reflected random walk",
      "martin benda",
      "real valued random variables",
      "invariant measure",
      "study recurrence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12306P"
    }
  }
}