arXiv:math/0503610 Abstract

arXiv:math/0503610 [math.PR]Abstract References Reviews Resources

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

Published 2005-03-25, updated 2005-04-14Version 2

We 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.

Comments: 10 pages with 1 figure

Categories: math.PR

Subjects: 60J80

Keywords: percolation cluster, simple random walk, bernoulli bond percolation, sufficient condition, infinite cluster

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