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Transportation inequalities: From Poisson to Gibbs measures
Ma, Yutao1,2; Shen, Shi3; Wang, Xinyu4; Wu, Liming5,6
2011-02-01
发表期刊BERNOULLI
ISSN1350-7265
卷号17期号:1页码:155-169
摘要We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp transportation inequality for the Gibbs measure on N(boolean AND) or the continuum Gibbs measure on the configuration space.
关键词Gibbs measures Poisson point processes transportation inequalities
DOI10.3150/00-BEJ268
语种英语
资助项目NSFC[10721091]
WOS研究方向Mathematics
WOS类目Statistics & Probability
WOS记录号WOS:000288042800007
出版者INT STATISTICAL INST
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/11849
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, Beijing 100875, Peoples R China
2.Beijing Normal Univ, Lab Math Com Sys, Beijing 100875, Peoples R China
3.Minzu Univ, Coll Sci, Beijing 100081, Peoples R China
4.Wuhan Univ, Sch Math, Wuhan 430072, Hubei, Peoples R China
5.Univ Clermont Ferrand, Lab Math, CNRS, UMR 6620, F-63177 Clermont Ferrand, France
6.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
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Ma, Yutao,Shen, Shi,Wang, Xinyu,et al. Transportation inequalities: From Poisson to Gibbs measures[J]. BERNOULLI,2011,17(1):155-169.
APA Ma, Yutao,Shen, Shi,Wang, Xinyu,&Wu, Liming.(2011).Transportation inequalities: From Poisson to Gibbs measures.BERNOULLI,17(1),155-169.
MLA Ma, Yutao,et al."Transportation inequalities: From Poisson to Gibbs measures".BERNOULLI 17.1(2011):155-169.
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