{
  "id": "0809.0320",
  "version": "v1",
  "published": "2008-09-01T21:04:19.000Z",
  "updated": "2008-09-01T21:04:19.000Z",
  "title": "Fluctuations of the quenched mean of a planar random walk in an i.i.d. random environment with forbidden direction",
  "authors": [
    "Mathew Joseph"
  ],
  "comment": "21 pages, 2 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider an i.i.d. random environment with a strong form of transience on the two dimensional integer lattice. Namely, the walk always moves forward in the y-direction. We prove a functional CLT for the quenched expected position of the random walk indexed by its level crossing times. We begin with a variation of the Martingale Central Limit Theorem. The main part of the paper checks the conditions of the theorem for our problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-01T21:04:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F05",
      "60F17",
      "82D30"
    ],
    "keywords": [
      "planar random walk",
      "random environment",
      "forbidden direction",
      "quenched mean",
      "fluctuations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0320J"
    }
  }
}