Stochastic reaction networks (SRNs) provide models of many real-world networks.
Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry …

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-dimensional CTMCs …

We investigate the asymptotic properties of Markov processes associated to stochastic
chemical reaction networks (CRNs) driven by the kinetics of the law of mass action. Their …

Exact results for product-form stationary distributions of Markov chains are of interest in
different fields. In stochastic reaction networks (CRNs), stationary distributions are mostly …

Continuous-time Markov chains are frequently used as stochastic models for chemical
reaction networks, especially in the growing field of systems biology. A fundamental problem …

In this paper we study a class of stochastic chemical reaction networks (CRNs) for which
chemical species are created by a sequence of chain reactions. We prove that under some …

The past few decades have seen robust research on questions regarding the existence,
form, and properties of stationary distributions of stochastically modeled reaction networks …

We examine reaction networks (CRNs) through their associated continuous-time Markov
processes. Studying the dynamics of such networks is in general hard, both analytically and …

In 2010, Anderson, Craciun, and Kurtz showed that if a deterministically modeled reaction
network is complex balanced, then the associated stochastic model admits a stationary …

This paper is motivated by examples from stochastic reaction network theory. The Q-matrix
of a stochastic reaction network can be derived from the reaction graph, an edge-labelled …