3 papers
math.PR2022
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…
math.PR2019
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…
cond-mat.stat-mech2009
Generalized Jarzynski's equality of inhomogeneous multidimensional diffusion processes
Hao Ge, Daquan Jiang
Applying the well-known Feynman-Kac formula of inhomogeneous case, an interesting and rigorous mathematical proof of generalized Jarzynski's equality of inhomogeneous multidimensio…