Dynamical Decomposition of Markov Processes without Detailed Balance

作     者：AO Ping CHEN Tian-Qi SHI Jiang-Hong 敖平;陈天奇;施江虹

作者机构：Key Laboratory of Systems Biomedicine of Ministry of EducationShanghai Center for Systems BiomedicineShanghai Jiao Tong UniversityShanghai 200240 Department of Computer Science and EngineeringShanghai Jiao Tong UniversityShanghai 200240 Department of PhysicsShanghai Jiao Tong UniversityShanghai 200240 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2013年第30卷第7期

页      面：1-4页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Basic Research Program of China under Grant No 2010CB529200 

主　　题：functions. process. entropy 

摘      要：We introduce a dynamical decomposition view in dealing with Markov processes without detailed *** work generalizes a previous decomposition framework on continuous-state Markov processes and explicitly gives its correspondence in discrete-state *** investigate the dynamical roles of decomposed parts by studying the evolution of relative-entropy-like *** find a special definition of relative entropy to unify the dynamical roles played by the detailed balance part and the breaking detailed balance *** evolution of the relative entropy naturally bounds the convergence of the process.