{
  "id": "1212.0599",
  "version": "v1",
  "published": "2012-12-04T01:52:57.000Z",
  "updated": "2012-12-04T01:52:57.000Z",
  "title": "Limit theorems for random walks on a strip in subdiffusive regime",
  "authors": [
    "Dmitry Dolgopyat",
    "Ilya Goldsheid"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study the asymptotic behaviour of occupation times of a transient random walk in quenched random environment on a strip in a sub-diffusive regime. The asymptotic behaviour of hitting times, which is a more traditional object of study, is the exactly same. As a particular case, we solve a long standing problem of describing the asymptotic behaviour of a random walk with bounded jumps on a one-dimensional lattice",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-04T01:52:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "limit theorems",
      "subdiffusive regime",
      "asymptotic behaviour",
      "transient random walk",
      "occupation times"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/26/6/1743",
      "journal": "Nonlinearity",
      "year": 2013,
      "month": "Jun",
      "volume": 26,
      "number": 6,
      "pages": 1743
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013Nonli..26.1743D"
    }
  }
}