arXiv subjects

Kevin Kuoch

Publications and source records attributed to Kevin Kuoch.

3 recordsLinked to original sources

arXiv2015

A boundary driven generalised contact process with exchange of particles: Hydrodynamics in infinite volume

We consider a two species process which evolves in a finite or infinite domain in contact with particles reservoirs at different densities, according to the superposition of a generalised contact process and a rapid-stirring dynamics in the bulk of the domain, and a creation/annihilation mechanism at its boundaries. For this process, we study the law of large numbers for densities and current. The limiting equations are given by a system of non-linear reaction-diffusion equations with Dirichlet boundary conditions.

math.PR↗

arXiv2015

Ergodic theory of the symmetric inclusion process

We prove the existence of a successful coupling for $n$ particles in the symmetric inclusion process. As a consequence we characterize the ergodic measures with finite moments, and obtain sufficient conditions for a measure to converge in the course of time to an invariant product measure.

math.PR↗

arXiv2015

Phase transition for a contact process with random slowdowns

Motivated by a model of an area-wide integrated pest management, we develop an interacting particle system evolving in a random environment. It is a generalised contact process in which the birth rate takes two possible values, determined either by a dynamic or a static random environment. Our goal is to understand the phase diagram of both models by identifying the mechanisms that permit coexistence or extinction of the process.

math.PR↗