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math.PR2022
Constrained Langevin approximation for the Togashi-Kaneko model of autocatalytic reactions
Wai-Tong Louis Fan, Yifan Johnny Yang, Chaojie Yuan
The Togashi Kaneko model (TK model), introduced by Togashi and Kaneko in 2001, is a simple stochastic reaction network that displays discreteness-induced transitions between meta-s…
math.PR2019★ 3 cited
Time-dependent product-form Poisson distributions for reaction networks with higher order complexes
David F. Anderson, David Schnoerr, Chaojie Yuan
It is well known that stochastically modeled reaction networks that are complex balanced admit a stationary distribution that is a product of Poisson distributions. In this paper,…