{
  "id": "math/0609267",
  "version": "v2",
  "published": "2006-09-10T15:54:35.000Z",
  "updated": "2006-09-17T20:15:42.000Z",
  "title": "A special set of exceptional times for dynamical random walk on $\\Z^2$",
  "authors": [
    "Gideon Amir",
    "Christopher Hoffman"
  ],
  "comment": "29 pages (v2: Typographical fixes in abstract)",
  "categories": [
    "math.PR"
  ],
  "abstract": "Benjamini,Haggstrom, Peres and Steif introduced the model of dynamical random walk on Z^d. This is a continuum of random walks indexed by a parameter t. They proved that for d=3,4 there almost surely exist t such that the random walk at time t visits the origin infinitely often, but for d > 4 there almost surely do not exist such t. Hoffman showed that for d=2 there almost surely exists t such that the random walk at time t visits the origin only finitely many times. We refine the results of Hoffman for dynamical random walk on Z^2, showing that with probability one there are times when the origin is visited only a finite number of times while other points are visited infinitely often.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-17T20:15:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "dynamical random walk",
      "exceptional times",
      "special set",
      "finite number",
      "random walks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9267A"
    }
  }
}