%0 Journal Article %T Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks %A Xia Chen %J Mathematics %D 2005 %I arXiv %R 10.1214/009117905000000035 %X 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. %U http://arxiv.org/abs/math/0508610v1