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5. Two random walks on the open cluster of Z~2 meet infinitely often

Two random walks on the open cluster of Z~2 meet infinitely often

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：zhou8859

【摘 要】

：

We prove that two independent continuous-time simple random walks on the infinite open cluster of a Bernoulli bond percolation in the lattice Z2 meet each other

【作 者】

：

Chen XinXing Chen DaYue 

【机 构】

：

PekingUniv,ShanghaiJiaoTongUniv

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2010年8期

【关键词】

：

random WALK PERCOLATION INFINITE collision property random walkpercolationinfini 

【基金项目】

：

supported in part by National Natural Science Foundation (Grant Nos.10625101,10531070),National Basic Research Program of China (Grant No.2006CB805900)

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论文部分内容阅读

We prove that two independent continuous-time simple random walks on the infinite open cluster of a Bernoulli bond percolation in the lattice Z2 meet each other infinitely many times.An application to the voter model is also discussed.

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