Dayue Chen
Peking University and MSRI
Title: On the monotonicity of an infinite percolation cluster of trees.

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. We also consider the anchored expansion constant of the infinite cluster of the Bernoulli bond percolation of trees, and verify the monotone relation between the constant and the retaining probability.
©2005, Department of Mathematical Sciences
Last Modified: April 1, 2005