Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains

DOI10.1214/15-AAP1152zbMath1352.60105arXiv1407.1263MaRDI QIDQ341625

Chen Jia, Min-ping Qian, Da-quan Jiang

Publication date: 16 November 2016

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1263

zbMATH Keywords

large deviationscontinuous-time Markov chainscirculation fluctuationscycle symmetriesdiscrete-time Markov chainsHaldane equalitynonequilibrium

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Large deviations (60F10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (5)

Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circle ⋮ Large deviations for the empirical measure and empirical flow of Markov renewal processes with a countable state space ⋮ Mathematical foundation of nonequilibrium fluctuation-dissipation theorems for inhomogeneous diffusion processes with unbounded coefficients ⋮ Martingale structure for general thermodynamic functionals of diffusion processes under second-order averaging ⋮ Effective fluctuation and response theory

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