Law of Large Numbers for a Class of Random Walks in Dynamic Random Environments
Law of Large Numbers for a Class of Random Walks in Dynamic Random Environments
In this paper we consider a class of one-dimensional interacting particle systems in equilibrium, constituting a dynamic random environment, together with a nearest-neighbor random walk that on occupied/vacant sites has a local drift to the right/left. We adapt a regeneration-time argument originally developed by Comets and Zeitouni for static random …