4 papers
A Proof of the Global Attractor Conjecture in a Special Case
Carsten Wiuf
We prove the Global Attractor Conjecture for complex balanced mass-action reaction networks whose reachable siphons satisfy two structural conditions, allowing multiple linkage cla…
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…
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…
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…