Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks
Xia Chen
Abstract
Let S1(n),...,Sp(n) be independent symmetric random walks in Zd. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges #S1[0,n]... Sp[0,n] in the case d=2, p 2 and the case d=3, p=2.
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