1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
Joint identifiability of ancestral sequence, phylogeny and mutation rates under the TKF91 model
Alex Xue, Brandon Legried, Wai-Tong Louis Fan
We consider the problem of identifying jointly the ancestral sequence, the phylogeny and the parameters in models of DNA sequence evolution with insertion and deletion (indel). Und…
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…