{
  "id": "math/0508610",
  "version": "v1",
  "published": "2005-08-30T08:03:34.000Z",
  "updated": "2005-08-30T08:03:34.000Z",
  "title": "Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks",
  "authors": [
    "Xia Chen"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117905000000035 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2005, Vol. 33, No. 3, 1014-1059",
  "doi": "10.1214/009117905000000035",
  "categories": [
    "math.PR"
  ],
  "abstract": "Let S_1(n),...,S_p(n) be independent symmetric random walks in Z^d. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges #{S_1[0,n]\\cap... \\cap S_p[0,n]} in the case d=2, p\\ge 2 and the case d=3, p=2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-08-30T08:03:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "60F10",
      "60F15",
      "60G50"
    ],
    "keywords": [
      "iterated logarithm",
      "intersection",
      "independent symmetric random walks",
      "establish moderate deviations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8610C"
    }
  }
}