{
  "id": "math/0302076",
  "version": "v2",
  "published": "2003-02-07T12:38:19.000Z",
  "updated": "2005-04-06T06:33:37.000Z",
  "title": "Ballistic random walks in random environment at low disorder",
  "authors": [
    "Christophe Sabot"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117904000000739 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2004, Vol. 32, No. 4, 2996-3023",
  "doi": "10.1214/009117904000000739",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider random walks in a random environment of the type p_0+\\gamma\\xi_z, where p_0 denotes the transition probabilities of a stationary random walk on \\BbbZ^d, to nearest neighbors, and \\xi_z is an i.i.d. random perturbation. We give an explicit expansion, for small \\gamma, of the asymptotic speed of the random walk under the annealed law, up to order 2. As an application, we construct, in dimension d\\ge2, a walk which goes faster than the stationary walk under the mean environment.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-06T06:33:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "82D30"
    ],
    "keywords": [
      "ballistic random walks",
      "random environment",
      "low disorder",
      "stationary random walk",
      "transition probabilities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......2076S"
    }
  }
}