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TRANSPORTATION-INFORMATION INEQUALITIES FOR CONTINUUM GIBBS MEASURES

文献类型：期刊论文

作者Ma, Yutao1; Wang, Ran2; Wu, Liming3,4
刊名ELECTRONIC COMMUNICATIONS IN PROBABILITY
出版日期2011-10-10
卷号16页码:600-613
关键词transportation-information inequality concentration inequality Gibbs measure Lyapunov function method
ISSN号1083-589X
英文摘要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.
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
语种英语
WOS记录号WOS:000295928700002
出版者UNIV WASHINGTON, DEPT MATHEMATICS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12102]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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