2 papers
math.PR2025
Unusual properties of contact processes on percolated graphs
Rick Durrett
In this paper we will consider the contact process in a very simple type of random environment that physicists call the random dilution model. We start with the contact process on…
math.PR2024
Critical first passage percolation on random graphs
Shankar Bhamidi, Rick Durrett, Xiangying Huang
In 1999, Zhang proved that, for first passage percolation on the square lattice with i.i.d. non-negative edge weights, if the probability that the passage time distr…