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Logarithmic Sobolev, isoperimetry and transport inequalities on graphs

文献类型：期刊论文

作者Ma, Yu Tao1,2; Wang, Ran3,4; Wu, Li Ming5,6
刊名ACTA MATHEMATICA SINICA-ENGLISH SERIES
出版日期2016-10-01
卷号32期号:10页码:1221-1236
关键词Graph log-Sobolev inequality isoperimetry transport inequality
ISSN号1439-8516
DOI10.1007/s10114-016-5330-9
英文摘要In this paper, we study some functional inequalities (such as Poincar, inequality, logarithmic Sobolev inequality, generalized Cheeger isoperimetric inequality, transportation-information inequality and transportation-entropy inequality) for reversible nearest-neighbor Markov processes on connected finite graphs by means of (random) path method. We provide estimates of the involved constants.
资助项目NSFC[11371283] ; NSFC[11571043] ; NSFC[11301498] ; NSFC[11431014] ; 985 Projects ; Fundamental Research Funds for the Central Universities
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000383489200008
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/23444]  
专题中国科学院数学与系统科学研究院
通讯作者Ma, Yu Tao
作者单位1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
2.Beijing Normal Univ, Lab Math Com Sys, Beijing 100875, Peoples R China
3.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
4.Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China
5.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
6.Univ Clermont Ferrand, Lab Math, CNRS, UMR 6620, F-63177 Aubiere, France
推荐引用方式
GB/T 7714		 Ma, Yu Tao,Wang, Ran,Wu, Li Ming. Logarithmic Sobolev, isoperimetry and transport inequalities on graphs[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(10):1221-1236.
APA Ma, Yu Tao,Wang, Ran,&Wu, Li Ming.(2016).Logarithmic Sobolev, isoperimetry and transport inequalities on graphs.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(10),1221-1236.
MLA Ma, Yu Tao,et al."Logarithmic Sobolev, isoperimetry and transport inequalities on graphs".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.10(2016):1221-1236.

入库方式： OAI收割

来源：数学与系统科学研究院

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