收稿日期: 2013-05-06
修回日期: 2013-07-31
网络出版日期: 2014-07-15
基金资助
Supported by National Natural Science Foundation of China (71271204,11331012,11101420)
SLLN and CLT for patterns on the infinite open cluster
Received date: 2013-05-06
Revised date: 2013-07-31
Online published: 2014-07-15
Supported by
Supported by National Natural Science Foundation of China (71271204,11331012,11101420)
唐鹏飞 , 郭田德 . 无穷大开簇上构型出现次数的强大数律和中心极限定理[J]. 中国科学院大学学报, 2014 , 31(4) : 445 -452 . DOI: 10.7523/j.issn.2095-6134.2014.04.001
In this paper, we consider supercritical Bernoulli bond percolation on the integer lattice Ld with parameter p. We study occurrences of patterns on the infinite open cluster. Let Λn denote the number of occurrences of a given pattern P on the infinite open cluster restricted in the box B(n)=[-n,n]d. Strong law of large numbers and central limit theorem for Λn are obtained.
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