Brett Kolesnik

The Lévy–Khintchine formula relates an infinitely divisible probability measure to its Lévy measure, which controls the jumps of the associated Lévy process. If the Lévy measure is well behaved then the two measures are asymptotically equivalent (the...

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...