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

作　　者：Chen XinXing Chen DaYue 

机构地区：[1]Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China [2]Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

出　　处：《Science China Mathematics》2010年第8期1971-1978,共8页中国科学：数学（英文版）

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

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 infinitely many times.An application to the voter model is also discussed.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.

关 键 词：random WALK PERCOLATION INFINITE collision property 

分 类 号：N[自然科学总论]