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math.AP2025
State-Constrained Chemical Reactions: Discrete-to-Continuous Hamilton--Jacobi Equations and Large Deviations
Yuan Gao, Yuxi Han
We study the macroscopic behavior of chemical reactions modeled as random time-changed Poisson processes on discrete state spaces. Using the WKB reformulation, the backward equatio…
math.AP2025
Fast-slow chemical reactions: convergence of Hamilton-Jacobi equation and variational representation
Yuan Gao, Artur Stephan
Microscopic behaviors of chemical reactions can be described by a random time-changed Poisson process, whose large-volume limit determines the macroscopic behaviors of species conc…