3 papers
math.PR2024
Asymptotic analysis for stationary distributions of scaled reaction networks
Linard Hoessly, Carsten Wiuf, Panqiu Xia
We study stationary distributions in the context of stochastic reaction networks. In particular, we are interested in complex balanced reaction networks and reduction of such netwo…
q-bio.MN2023
Any Stochastic Reaction Network has a Stationary Measure
Carsten Wiuf, Chuang Xu
In this note, we use a result by Harris (1957) to show that there always exists a stationary measure (not necessarily a distribution) on a closed irreducible component of a stochas…
math.PR2023
Stationary measures of continuous time Markov chains with applications to stochastic reaction networks
Mads Chr Hansen, Carsten Wiuf, Chuang Xu
We study continuous-time Markov chains on the non-negative integers under mild regularity conditions (in particular, the set of jump vectors is finite and both forward and backward…