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Biased Random Walk on Percolation Clusters

Probability

Speaker: Noam Berger, UC Berkeley, Statistics Dept
Location: 693 Kerr
Start time: Tue, Oct 8 2002, 3:10PM

We study the behavior of biased random walk on the super critical percolation cluster in Z^d. We find the seemingly suprising result that when the bias is big the walk has speed zero, while when the bias is small, the speed of the walk is positive. This is a joint work with Nina Cantert and Yuval Peres.