Mathematics Colloquium: Barlow Abstract, Fall 2004

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Mathematics Colloquium, Fall 2004

Martin Barlow
University of British Columbia

Random Walks on Percolation Clusters

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). Host: Renming Song

Thursday, November 4, 2004, 245 Altgeld Hall, 4 p.m.

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