{
  "id": "1203.3121",
  "version": "v1",
  "published": "2012-03-14T16:02:25.000Z",
  "updated": "2012-03-14T16:02:25.000Z",
  "title": "A Stationary, Mixing and Perturbative Counterexample to the 0-1-law for Random Walk in Random Environment in Two Dimensions",
  "authors": [
    "Hadrian Heil"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We construct a two-dimensional counterexample of a random walk in random environment (RWRE). The environment is stationary, mixing and perturbative, and the corresponding RWRE has non-trivial probability to wander off to the upper right. This is in contrast to the 0-1-law that holds for i.i.d.\\ environments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-14T16:02:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F20",
      "60K37"
    ],
    "keywords": [
      "random environment",
      "random walk",
      "perturbative counterexample",
      "stationary",
      "dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.3121H"
    }
  }
}