Abstract
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.
Citation
Douglas Blount. "Law of Large Numbers in the Supremum Norm for a Chemical Reaction with Diffusion." Ann. Appl. Probab. 2 (1) 131 - 141, February, 1992. https://doi.org/10.1214/aoap/1177005774
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