8 citations · 18 across the 15 of their papers we have counts for
4 papers · 2 filters
Age evolution in the mean field forest fire model via multitype branching processes
Edward Crane, Balazs Rath, Dominic Yeo
We study the distribution of ages in the mean field forest fire model introduced by Ráth and Tóth. This model is an evolving random graph whose dynamics combine Erdős-Rényi edge-ad…
Steady state clusters and the Rath-Toth mean field forest fire model
Edward Crane
We introduce a random finite rooted tree , the steady state cluster, characterized by a recursive description: is a singleton with probability and…
Diffusion and superdiffusion in lattice models of colliding particles with stored momentum
Edward Crane, Sean Ledger, Balint Toth
We introduce two discrete models of a collection of colliding particles with stored momentum and study the asymptotic growth of the mean-square displacement of an active particle.…
Functional Large Deviations for Cox Processes and Queues, with a Biological Application
Justin Dean, Ayalvadi Ganesh, Edward Crane
We consider an infinite-server queue into which customers arrive according to a Cox process and have independent service times with a general distribution. We prove a functional la…