28 citations · 46 across the 17 of their papers we have counts for
5 papers · 1 filter
Clustering in the three and four color cyclic particle systems in one dimension
Eric Foxall, Hanbaek Lyu
We study the -color cyclic particle system on the one-dimensional integer lattice , first introduced by Bramson and Griffeath in \cite{bramson1989flux}. In that pape…
Tragedy of the Commons in the Chemostat
Martin Schuster, Eric Foxall, David Finch +2
We present a proof of principle for the phenomenon of the tragedy of the commons that is at the center of many theories on the evolution of cooperation. We establish the tragedy in…
Diffusion limit for the partner model at the critical value
Anirban Basak, Rick Durrett, Eric Foxall
The partner model is an SIS epidemic in a population with random formation and dissolution of partnerships, and with disease transmission only occuring within partnerships. Foxall,…
The Naming Game on the complete graph
Eric Foxall
We consider a model of language development, known as the naming game, in which agents invent, share and then select descriptive words for a single object, in such a way as to prom…
Coalescing random walk on unimodular graphs
Eric Foxall, Tom Hutchcroft, Matthew Junge
Coalescing random walk on a unimodular random rooted graph for which the root has finite expected degree visits each site infinitely often almost surely. A corollary is that an opi…