{
  "id": "1302.0888",
  "version": "v3",
  "published": "2013-02-04T22:23:15.000Z",
  "updated": "2016-06-17T12:28:01.000Z",
  "title": "Large deviations for random walks in a random environment on a strip",
  "authors": [
    "Jonathon Peterson"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a random walk in a random environment (RWRE) on the strip of finite width $\\mathbb{Z} \\times \\{1,2,\\ldots,d\\}$. We prove both quenched and averaged large deviation principles for the position and the hitting times of the RWRE. Moreover, we prove a variational formula that relates the quenched and averaged rate functions, thus extending a result of Comets, Gantert, and Zeitouni for nearest-neighbor RWRE on $\\mathbb{Z}$",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-13T14:24:13.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-06-17T12:28:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F10"
    ],
    "keywords": [
      "random walk",
      "random environment",
      "averaged large deviation principles",
      "nearest-neighbor rwre",
      "finite width"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.0888P"
    }
  }
}