# Thermodynamic limit of chemical master equation via nonlinear semigroup

@inproceedings{Gao2022ThermodynamicLO, title={Thermodynamic limit of chemical master equation via nonlinear semigroup}, author={Yuan Gao and Jian‐Guo Liu}, year={2022} }

. Chemical reactions, at a mesoscopic scale, can be modeled by a random time-changed Poisson process on countable states. The macroscopic behaviors in the large size limit, particularly the estimates for the large ﬂuctuations, can be studied via the WKB reformulation, aka. nonlinear semigroup for the chemical master equation(CME) and the backward equation. The WKB reformulation for the backward equation is Varadhan’s discrete nonlinear semigroup and is also a monotone scheme which approximates…

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