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A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network

A Law of Large Numbers in the Supremum Norm for a Multiscale Stochastic Spatial Gene Network

Abstract We study the asymptotic behavior of multiscale stochastic spatial gene networks. Multiscaling takes into account the difference of abundance between molecules, and captures the dynamic of rare species at a mesoscopic level. We introduce an assumption of spatial correlations for reactions involving rare species and a new law of …