22 citations · 78 across the 10 of their papers we have counts for
4 papers · 1 filter
Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space
Chen Jia, Da-quan Jiang, Bingjie Wu
Here we propose the Donsker-Varadhan-type compactness conditions and prove the joint large deviation principle for the empirical measure and empirical flow of Markov renewal proces…
Detailed balance, local detailed balance, and global potential for stochastic chemical reaction networks
Chen Jia, Da-Quan Jiang, Youming Li
Detailed balance of a chemical reaction network can be defined in several different ways. Here we investigate the relationship among four types of detailed balance conditions: dete…
Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains
Chen Jia, Daquan Jiang, Minping Qian
In probability theory, equalities are much less than inequalities. In this paper, we find a series of equalities which characterize the symmetry of the forming times of a family of…
Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle
Hao Ge, Chen Jia, Da-Quan Jiang
Cyclic structure and dynamics are of great interest in both the fields of stochastic processes and nonequilibrium statistical physics. In this paper, we find a new symmetry of the…