Abstract
Let $S_1(n),…,S_p(n)$ be independent symmetric random walks in $\mathbb Z^d$. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges $$\#\{S_1[0,n]∩⋯∩S_p[0,n]\}$$ in the case $d=2, p≥2$ and the case $d=3, p=2.$
Citation
Xia Chen. "Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks." Ann. Probab. 33 (3) 1014 - 1059, May 2005. https://doi.org/10.1214/009117905000000035
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