On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees
Acta Mathematica Sinica-english Series(2007)
摘要
The authors consider the simple random walk on the in.nite 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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关键词
random walk,tree,speed,percolation,monotonicity
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