Xian Chen

activity

20142021

most citedMathematical foundation of nonequilibrium fluctuation-dissipation theorems for inhomogeneous diffusion processes with unbounded coefficients

9 citations · 11 across the 5 of their papers we have counts for

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math.PR2021

Moderate and $L^{p}$ maximal inequalities for diffusion processes and conformal martingales

Xian Chen, Yong Chen, Mumien Cheng +1

The $L^{p}$ 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★ 1 cited

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…

Moderate and Lp maximal inequalities for diffusion processes and conformal martingales

Limit theorems for generalized density-dependent Markov chains and bursty stochastic gene regulatory networks

Moderate and $L^{p}$ maximal inequalities for diffusion processes and conformal martingales