On the monotonicity of the speed of random walks on a percolation cluster of trees

被引：3
作者：
Da Yue Chen [1 ]
Fu Xi Zhang [1 ]
机构：
[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 11期
关键词：
random walk; percolation; speed; monotonicity; tree; ANCHORED EXPANSION;
D O I：
10.1007/s10114-007-0975-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p by studying three classes of trees. A sufficient condition is established for Galton-Watson trees.
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页码：1949 / 1954
页数：6
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