On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees  

作　　者：Da Yue CHEN Fu Xi ZHANG 

机构地区：[1]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第11期1949-1954,共6页数学学报（英文版）

基　　金：Supported in part by Grant G1999075106 from the Ministry of Science and Technology of China

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.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.

关 键 词：random walk PERCOLATION SPEED MONOTONICITY TREE 

分 类 号：O211.6[理学—概率论与数理统计]