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.
Publié le : 1992-02-14
Classification:
Chemical reaction with diffusion,
law of large numbers,
density dependent birth and death process,
60F17,
60K35,
60H05
@article{1177005774,
author = {Blount, Douglas},
title = {Law of Large Numbers in the Supremum Norm for a Chemical Reaction with Diffusion},
journal = {Ann. Appl. Probab.},
volume = {2},
number = {4},
year = {1992},
pages = { 131-141},
language = {en},
url = {http://dml.mathdoc.fr/item/1177005774}
}
Blount, Douglas. Law of Large Numbers in the Supremum Norm for a Chemical Reaction with Diffusion. Ann. Appl. Probab., Tome 2 (1992) no. 4, pp. 131-141. http://gdmltest.u-ga.fr/item/1177005774/