{
  "id": "math/0501068",
  "version": "v1",
  "published": "2005-01-05T16:44:31.000Z",
  "updated": "2005-01-05T16:44:31.000Z",
  "title": "A note on random walk in random scenery",
  "authors": [
    "Amine Asselah",
    "Fabienne Castell"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a d-dimensional random walk in random scenery X(n), where the scenery consists of i.i.d. with exponential moments but a tail decay of the form exp(-c t^a) with a<d/2. We study the probability, when averaged over both randomness, that {X(n)>ny}. We show that this probability is of order exp(-(ny)^b) with b=a/(a+1).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-05T16:44:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60F10",
      "60J55"
    ],
    "keywords": [
      "random scenery",
      "d-dimensional random walk",
      "scenery consists",
      "exponential moments",
      "tail decay"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1068A"
    }
  }
}