Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks
Moderate deviations and law of the iterated logarithm for intersections of the ranges of random walks
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DOI：
10.1214/009117905000000035
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发表时间：
2005-05
影响因子：
2.3
通讯作者：
Xia Chen
中科院分区：
文献类型：
--
作者：
Xia Chen
设$S_1(N)，…，S_p(N)$是$\mathbb Z^d$中独立的对称随机游动。我们建立了在$d=2，p∩⋯∩≥2$和$d=3，p=2的情况下，区间$$#\{S_1[0，n]和S_p[0，n]的交集的中等偏差和重对数律
Let $S_1(n),…,S_p(n)$ be independent symmetric random walks in $\mathbb Z^d$. We establish moderate deviations and law of the iterated logarithm for the intersection of the ranges $$\#\{S_1[0,n]∩⋯∩S_p[0,n]\}$$ in the case $d=2, p≥2$ and the case $d=3, p=2.$