Blount, Douglas, Law of Large Numbers in the Supremum Norm for a Chemical Reaction with Diffusion, Annals of applied probability , 2(1), 1992, pp. 131-141
A space-time jump Markov process, modeling a chemical reaction with diffusion, is compared in the supremum norm to the usual model, the solution to a partial differential equation. Conditions are given which imply the deviation converges in probability to 0 uniformly on bounded time intervals. Estimates reflecting underlying large deviation behavior are obtained.