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	CYCLE SYMMETRIES AND CIRCULATION FLUCTUATIONS FOR DISCRETE-TIME AND CONTINUOUS-TIME MARKOV CHAINS
	Jia, Chen ; Jiang, Da-Quan ; Qian, Min-Ping
	2016
关键词	Haldane equality nonequilibrium fluctuation theorem current fluctuation large deviation FREE-ENERGY DIFFERENCES STOCHASTIC DYNAMICS NETWORK THEORY THEOREM PROBABILITY EQUALITY BEHAVIOR KINETICS STATES
英文摘要	In this paper, we find a series of equalities which characterize the symmetry of the forming times of a family of similar cycles for discrete-time and continuous-time Markov chains. Moreover, we use these cycle symmetries to study the circulation fluctuations for Markov chains. We prove that the sample circulations along a family of cycles passing through a common state satisfy a large deviation principle with a rate function which has a highly nonobvious symmetry. Further extensions and applications to statistical physics and biochemistry are also discussed, especially the fluctuation theorems for the sample net circulations.; NSFC [11271029, 11171024]; SCI(E); ARTICLE; jiac@pku.edu.cn; jiangdq@math.pku.edu.cn; qianmp@math.pku.edu.cn; 4; 2454-2493; 26
语种	英语
出处	SCI
出版者	ANNALS OF APPLIED PROBABILITY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/456972]
专题	数学科学学院
推荐引用方式 GB/T 7714	Jia, Chen,Jiang, Da-Quan,Qian, Min-Ping. CYCLE SYMMETRIES AND CIRCULATION FLUCTUATIONS FOR DISCRETE-TIME AND CONTINUOUS-TIME MARKOV CHAINS. 2016-01-01.

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