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

Authors
Chen, Dayue Zhang, Fuxi
Citation
Chen, Dayue et Zhang, Fuxi, On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees, Acta mathematica Sinica. English series (Print) , 23(11), 2007, pp. 1949-1954
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
23
Issue
11
Year of publication
2007
Pages
1949 - 1954
Database
ACNP
SICI code
Abstract
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.