2 papers
math.PR2021
Moderate and maximal inequalities for diffusion processes and conformal martingales
Xian Chen, Yong Chen, Mumien Cheng +1
The maximal inequalities for martingales are one of the classical results in the theory of stochastic processes. Here we establish the sharp moderate maximal inequalities for…
math.PR2019
Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks
Xian Chen, Chen Jia
Stochastic gene regulatory networks with bursting dynamics can be modeled mesocopically as a generalized density-dependent Markov chain (GDDMC) or macroscopically as a piecewise-de…