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题名: Partition function expansion on region graphs and message-passing equations
作者: Zhou, HJ ;  Wang, C ;  Xiao, JQ ;  Bi, ZD
刊名: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
出版日期: 2011
期号: *, 页码:L12001
关键词: STATES
学科分类: Physics
通讯作者: Zhou, HJ (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Zhou, Haijun; Wang, Chuang; Xiao, Jing-Qing; Bi, Zedong] Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China; [Xiao, Jing-Qing] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
英文摘要: Disordered and frustrated graphical systems are ubiquitous in physics, biology, and information science. For models on complete graphs or random graphs, deep understanding has been achieved through the mean-field replica and cavity methods. But finite-dimensional 'real' systems remain very challenging because of the abundance of short loops and strong local correlations. A statistical mechanics theory is constructed in this paper for finite-dimensional models based on the mathematical framework of the partition function expansion and the concept of region graphs. Rigorous expressions for the free energy and grand free energy are derived. Message-passing equations on the region graph, such as belief propagation and survey propagation, are also derived rigorously.
资助者: Chinese Academy of Sciences
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000302413800001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14217
Appears in Collections:理论物理所2011年知识产出_期刊论文

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Recommended Citation:
Zhou, HJ,Wang, C,Xiao, JQ,et al. Partition function expansion on region graphs and message-passing equations[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2011(*):L12001.
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