Logarithmic Sobolev, isoperimetry and transport inequalities on graphs

doi:10.1007/s10114-016-5330-9

CSpace

	Logarithmic Sobolev, isoperimetry and transport inequalities on graphs
	Ma, Yu Tao 1,2; Wang, Ran 3,4; Wu, Li Ming 5,6
	2016-10-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	32 期号:10 页码:1221-1236
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.
关键词	Graph log-Sobolev inequality isoperimetry transport inequality
DOI	10.1007/s10114-016-5330-9
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000383489200008
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23445
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.