COUPLING INTERACTING PARTICLE SYSTEMS
Christian Maes · Reviews in Mathematical Physics · 1993
We consider random processes (probabilistic cellular automata or interacting particle systems) defined through the interaction of an infinite number of components. We show how coupling arguments yield simple yet quite general ergodicity theorems. The relation between discrete time and continuous time versions is analyzed via similar techniques and the explicit convergence rate of discrete time approximations to the continuous time process is obtained.