On Monday 7th November Dr. Perla Sousi gave a talk to the TMS!
Talk
Speaker: Dr. Perla Sousi (Statslab)
Title: Percolation and Random Walks
Abstract: Consider the two dimensional lattice and keep every edge with probability p, independently over different edges. It is known that there exists a critical probability p_c so that for all p > p_c there exists a unique infinite connected component. But how well connected is this infinite cluster? One way to evaluate this is by examining the rate of spread of a simple random walk on the cluster.