{
  "id": "0706.0745",
  "version": "v1",
  "published": "2007-06-05T22:59:29.000Z",
  "updated": "2007-06-05T22:59:29.000Z",
  "title": "The zero-one law for planar random walks in i.i.d. random environments revisited",
  "authors": [
    "Martin P. W. Zerner"
  ],
  "comment": "9 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note we present a simplified proof of the zero-one law by Merkl and Zerner (2001) for directional transience of random walks in i.i.d. random environments (RWRE) on the square lattice. Also, we indicate how to construct a two-dimensional counterexample in a non-uniformly elliptic and stationary environment which has better ergodic properties than the example given by Merkl and Zerner.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-05T22:59:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37"
    ],
    "keywords": [
      "planar random walks",
      "random environments",
      "zero-one law",
      "better ergodic properties",
      "directional transience"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.0745Z"
    }
  }
}