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Transportation-information inequalities for continuum Gibbs measures


 
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1. Title Title of document Transportation-information inequalities for continuum Gibbs measures
 
2. Creator Author's name, affiliation, country Yutao Ma; Beijing Normal University
 
2. Creator Author's name, affiliation, country Ran Wang; Wuhan University
 
2. Creator Author's name, affiliation, country Liming Wu; Chinese Academy of Sciences and Université Blaise Pascal
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) transportation-information inequality, concentration inequality, Gibbs measure, Lyapunov function method
 
3. Subject Subject classification 60E15. 60K35
 
4. Description Abstract 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 $M/M/\infty$-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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSFC 11001208, ANR EVOL, Fundamental Research Funds for the Central Universities
 
7. Date (YYYY-MM-DD) 2011-10-10
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1670
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1670
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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