28 citations · 46 across the 17 of their papers we have counts for
4 papers · 2 filters
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…
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…