Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition

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dc.creatorWu, Liming
dc.date2006-11-21
dc.date.accessioned2026-07-07T07:33:11Z
dc.date.available2026-07-07T07:33:11Z
dc.descriptionIn in this paper we establish an explicit and sharp estimate of the spectral gap (Poincaré inequality) and the transportation inequality for Gibbs measures, under the Dobrushin uniqueness condition. Moreover, we give a generalization of the Liggett's $M-ε$ theorem for interacting particle systems.
dc.descriptionPublished at http://dx.doi.org/10.1214/009117906000000368 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0611635
dc.identifierhttp://arxiv.org/abs/math/0611635
dc.identifierAnnals of Probability 2006, Vol. 34, No. 5, 1960-1989
dc.identifierdoi:10.1214/009117906000000368
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119366
dc.subjectProbability
dc.subject60E15, 60K35 (Primary) 60G60 (Secondary)
dc.titlePoincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition
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