Full classification of dynamics for one-dimensional continuous-time markov chains with polynomial transition rates
This paper provides a full classification of the dynamics for continuous-time Markov chains
(CTMCs) on the nonnegative integers with polynomial transition rate functions and without …
(CTMCs) on the nonnegative integers with polynomial transition rate functions and without …
Classification and threshold dynamics of stochastic reaction networks
Stochastic reaction networks (SRNs) provide models of many real-world networks.
Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry …
Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry …
Formal management-specifying approach for model-based safety assessment
C Xu, Y Duan, C Zhang - Journal of Systems Engineering and …, 2023 - ieeexplore.ieee.org
In the field of model-based system assessment, mathematical models are used to interpret
the system behaviors. However, the industrial systems in this intelligent era will be more …
the system behaviors. However, the industrial systems in this intelligent era will be more …
The asymptotic tails of limit distributions of continuous-time Markov chains
This paper investigates tail asymptotics of stationary distributions and quasi-stationary
distributions (QSDs) of continuous-time Markov chains on subsets of the non-negative …
distributions (QSDs) of continuous-time Markov chains on subsets of the non-negative …
Stationary measures of continuous time Markov chains with applications to stochastic reaction networks
MC Hansen, C Wiuf, C Xu - arXiv preprint arXiv:2312.06186, 2023 - arxiv.org
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 …
conditions (in particular, the set of jump vectors is finite and both forward and backward …