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

作     者：Da Yue CHEN Fu Xi ZHANG 

作者机构：LMAM School of Mathematical Sciences Peking University Beijing 100871 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第11期

页      面：1949-1954页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

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

主　　题：random walk percolation speed monotonicity tree 

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.