64 citations · 122 across the 2 of their papers we have counts for
4 papers
Simplification of Markov chains with infinite state space and the mathematical theory of random gene expression bursts
Chen Jia
Here we develop an effective approach to simplify two-time-scale Markov chains with infinite state spaces by removal of states with fast leaving rates, which improves the simplific…
Emergent Lévy behavior in single-cell stochastic gene expression
Chen Jia, Michael Q. Zhang, Hong Qian
Single-cell gene expression is inherently stochastic; its emergent behavior can be defined in terms of the chemical master equation describing the evolution of the mRNA and protein…
A solution to the reversible embedding problem for finite Markov chains
Chen Jia
The embedding problem for Markov chains is a famous problem in probability theory and only partial results are available up till now. In this paper, we propose a variant of the emb…
Model simplification and loss of irreversibility
Chen Jia
In this paper, we reveal a general relationship between model simplification and irreversibility based on the model of continuous-time Markov chains with time-scale separation. Acc…