1 citations · 1 across the 5 of their papers we have counts for
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Strong convergence with error estimates for a stochastic compartmental model of electrophysiology
Wai-Tong Louis Fan, Joshua A. McGinnis, Yoichiro Mori
This paper presents a rigorous mathematical analysis, alongside simulation studies, of a spatially extended stochastic electrophysiology model, the Hodgkin-Huxley model of the squi…
Boundary-induced slow mixing for Markov chains and its application to stochastic reaction networks
Wai-Tong Louis Fan, Jinsu Kim, Chaojie Yuan
Markov chains on the non-negative quadrant of dimension are often used to model the stochastic dynamics of the number of entities, such as chemical species in stochasti…
A new path method for exponential ergodicity of Markov processes on , with applications to stochastic reaction networks
David F. Anderson, Daniele Cappelletti, Wai-Tong Louis Fan +1
This paper provides a new path method that can be used to determine when an ergodic continuous-time Markov chain on converges exponentially fast to its stationary dis…
Quasi-stationary behavior of the stochastic FKPP equation on the circle
Wai-Tong Louis Fan, Oliver Tough
We consider the stochastic Fisher-Kolmogorov-Petrovsky-Piscunov (FKPP) equation on the circle , \begin{equation*} \partial_t u(t,x) \,= \fracα{2}Δu +β\,u(1-u) + \sqrt{γ…