Comparison of stochastic and deterministic models of a linear chemical reaction with diffusion

DOI10.1214/aop/1176990219zbMath0741.92022OpenAlexW1982027267MaRDI QIDQ1180564

Douglas Blount

Publication date: 27 June 1992

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176990219

zbMATH Keywords

Sobolev spaceslaw of large numbersperiodic boundary conditionscentral limit theoremOrnstein-Uhlenbeck processesreaction diffusion equationsymmetric random walkHilbert space valued processescomparison of stochastic and deterministic modelscreation and annihilation processlinear chemical reaction with diffusionlinear generatorlinear lattice of cellsspace-time Markov process

Mathematics Subject Classification ID

Gaussian processes (60G15) Central limit and other weak theorems (60F05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Classical flows, reactions, etc. in chemistry (92E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Functional limit theorems; invariance principles (60F17) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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