EVENT DETAILS AND ABSTRACT

Title: Random walks on percolation clusters
Speaker: Professor Martin Barlow
Speaker Info: University of British Columbia
Brief Description:
Special Note:
Abstract:

This talk will discuss random walks on percolation clusters.

The first case is supercritical ($p>p_c$) bond percolation in $Z^d$. Here one can obtain Aronsen type bounds on the transition probabilities, using analytic methods based on ideas of Nash.

For the critical case ($p=p_c$) one needs to study the incipient infinite cluster (IIC). The easiest situation is the IIC on trees - where the methods described above lead to an alternative approach to results of Kesten (1986). (This case is joint work with T. Kumagai).