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Mathematics  2005 

Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks

DOI: 10.1214/009117905000000035

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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.

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