Analysis and Probability Seminar

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

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).

Date: Monday, November 1, 2004
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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