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Some sufficient conditions for infinite collisions of simple random walks on a wedge comb
Chen, Xinxing ; Chen, Dayue
2011
关键词wedge comb simple random walk infinite collision property local time
英文摘要In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile {f(n), n is an element of Z}. One interesting result is that two independent simple random walks on the wedge comb will collide infinitely many times if f(n) has a growth order as n log n. On the other hand, if {f(n), n is an element of Z} are given by i.i.d. non-negative random variables with finite mean, then for almost all wedge combs with such profile, three independent simple random walks on it will collide infinitely many times.; Statistics & Probability; SCI(E); 2; ARTICLE; 1341-1355; 16
语种英语
出处SCI
出版者electronic journal of probability
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/394597]  
专题数学科学学院
推荐引用方式
GB/T 7714
Chen, Xinxing,Chen, Dayue. Some sufficient conditions for infinite collisions of simple random walks on a wedge comb. 2011-01-01.
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