Probability Seminar: Brett Kolesnik

Bootstrap percolation with threshold r on a graph G evolves as follows: initially some of its vertices are infected, and then any vertex with at least r infected neighbors becomes infected. On the Erdos–Renyi graph G(n,p) we identify the sharp threshold for p, above which there is with high probability a set of size r whose infection results in the infection of the entire graph. Joint work with Omer Angel.