{
  "id": "0803.0724",
  "version": "v1",
  "published": "2008-03-05T18:07:58.000Z",
  "updated": "2008-03-05T18:07:58.000Z",
  "title": "Recurrence of the twisted planar random walk",
  "authors": [
    "U. Haboeck"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We show that the \"twisted\" planar random walk - which results by summing up stationary increments rotated by multiples of a fixed angle - is recurrent under diverse assumptions on the increment process. For example, if the increment process is alpha-mixing and of finite second moment, then the twisted random walk is recurrent for every angle fixed choice of the angle out of a set of full Lebesgue measure, no matter how slow the mixing coefficients decay.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-05T18:07:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A20",
      "37A25",
      "37A50",
      "60G10",
      "60G50"
    ],
    "keywords": [
      "twisted planar random walk",
      "recurrence",
      "increment process",
      "finite second moment",
      "full lebesgue measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.0724H"
    }
  }
}