Any Stochastic Reaction Network has a Stationary Measure
Molecular Networks
2023-12-14 v1
Abstract
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 stochastic reaction network. This measure might not be unique. In particular, any weakly reversible stochastic reaction network has a stationary measure on all closed irreducibe components, irrespective whether it is compelx balanced or not.
Keywords
Cite
@article{arxiv.2312.07590,
title = {Any Stochastic Reaction Network has a Stationary Measure},
author = {Carsten Wiuf and Chuang Xu},
journal= {arXiv preprint arXiv:2312.07590},
year = {2023}
}