TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES

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	TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES
	Ma, Yutao 1; Wang, Ran 2; Wu, Liming 3,4
	2011-10-10
发表期刊	ELECTRONIC COMMUNICATIONS IN PROBABILITY
ISSN	1083-589X
卷号	16 页码:600-613
摘要	The objective of this paper is to establish explicit concentration inequalities for the Glauber dynamics related with continuum or discrete Gibbs measures. At first we establish the optimal transportation-information W(1)I-inequality for the M/M/infinity-queue associated with the Poisson measure, which improves several previous known results. Under the Dobrushin's uniqueness condition, we obtain some explicit W(1)I-inequalities for Gibbs measures both in the continuum and in the discrete lattice. Our method is a combination of Lipschitzian spectral gap, the Lyapunov test function approach and the tensorization technique.
关键词	transportation-information inequality concentration inequality Gibbs measure Lyapunov function method
语种	英语
资助项目	FUNDAMENTAL RESEARCH FUNDS FOR THE CENTRAL UNIVERSITIES ; NSFC[11001208] ; CHINESE ACADEMY OF SCIENCES ; LE PROJET ANR EVOL
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000295928700002
出版者	UNIV WASHINGTON, DEPT MATHEMATICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12103
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Yutao
作者单位	1.Beijing Normal Univ, Sch Math Sci & Lab Math Com Sys, Beijing 100875, Peoples R China 2.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Clermont Ferrand, Math Lab, CNRS UMR 6620, F-63177 Aubiere, France
推荐引用方式 GB/T 7714	Ma, Yutao,Wang, Ran,Wu, Liming. TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES[J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY,2011,16:600-613.
APA	Ma, Yutao,Wang, Ran,&Wu, Liming.(2011).TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES.ELECTRONIC COMMUNICATIONS IN PROBABILITY,16,600-613.
MLA	Ma, Yutao,et al."TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES".ELECTRONIC COMMUNICATIONS IN PROBABILITY 16(2011):600-613.