{
  "id": "1202.5643",
  "version": "v2",
  "published": "2012-02-25T12:11:14.000Z",
  "updated": "2013-09-06T16:25:01.000Z",
  "title": "Quenched large deviations for multidimensional random walk in random environment with holding times",
  "authors": [
    "Ryoki Fukushima",
    "Naoki Kubota"
  ],
  "comment": "This is the corrected version of the paper. 24 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a random walk in random environment with random holding times, that is, the random walk jumping to one of its nearest neighbors with some transition probability after a random holding time. Both the transition probabilities and the laws of the holding times are randomly distributed over the integer lattice. Our main result is a quenched large deviation principle for the position of the random walk. The rate function is given by the Legendre transform of the so-called Lyapunov exponents for the Laplace transform of the first passage time. By using this representation, we derive some asymptotics of the rate function in some special cases.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-06T16:25:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F10"
    ],
    "keywords": [
      "multidimensional random walk",
      "random environment",
      "random holding time",
      "rate function",
      "transition probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5643F"
    }
  }
}