4 citations · 11 across the 10 of their papers we have counts for
10 papers
On the Regularity of Reaction Systems
Chuang Xu
Reaction networks have been widely used as generic models in diverse areas of applied sciences, such as biology, chemistry, ecology, epidemiology, and computer science. A reaction…
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…
Vlasov Equations on Directed Hypergraph Measures
Christian Kuehn, Chuang Xu
In this paper we propose a framework to investigate the mean field limit (MFL) of interacting particle systems on directed hypergraphs. We provide a non-trivial measure-theoretic v…
Mean field limits of co-evolutionary signed heterogeneous networks
Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu
Many science phenomena are modelled as interacting particle systems (IPS) coupled on static networks. In reality, network connections are far more dynamic. Connections among indivi…
Classification and threshold dynamics of stochastic reaction networks
Carsten Wiuf, Chuang Xu
Stochastic reaction networks (SRNs) provide models of many real-world networks. Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry, and social sc…
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…
The asymptotics of purely atomic one-dimensional Levy approximations
Arno Berger, Chuang Xu
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions are presented that characterize best purely atomic approximations relative to the cla…
Distributional asymptotics mod 1 of
Chuang Xu
This paper studies the distributional asymptotics of the slowly changing sequence of logarithms with It is known that is not…
Circularly invariant uniformizable probability measures for linear transformations
Chuang Xu
In this paper, we prove a threshold result on the existence of a circularly invariant uniformizable probability measure (CIUPM) for linear transformations with non-zero slope on th…
Global Threshold Dynamics of a Stochastic Differential Equation SIS Model
Chuang Xu
In this paper, we further investigate the global dynamics of a stochastic differential equation SIS (Susceptible-Infected-Susceptible) epidemic model recently proposed in [A. Gray…