5 citations · 12 across the 5 of their papers we have counts for
5 papers
The asymptotic tails of limit distributions of continuous time Markov chains
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper investigates tail asymptotics of stationary distributions and quasi-stationary distributions (QSDs) of continuous-time Markov chains on subsets of the non-negative integ…
Full classification of dynamics for one-dimensional continuous time Markov chains with polynomial transition rates
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper provides full classification of dynamics for continuous time Markov chains (CTMCs) on the non-negative integers with polynomial transition rate functions. Such stochasti…
Structural classification of continuous time Markov chains with applications
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper is motivated by examples from stochastic reaction network theory. The -matrix of a stochastic reaction network can be derived from the reaction graph, an edge-labelle…
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…
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…