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math.PR2019
Dynamics of continuous time Markov chains with applications
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper contributes an in-depth study of properties of continuous time Markov chains (CTMCs) on non-negative integer lattices , with particular interest in one-dimension…
math.PR2018
Existence of a Unique Quasi-stationary Distribution for Stochastic Reaction Networks
Mads Christian Hansen, Carsten Wiuf
In the setting of stochastic dynamical systems that eventually go extinct, the quasi-stationary distributions are useful to understand the long-term behavior of a system before eva…