Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition
Wu, Liming
Ann. Probab., Tome 34 (2006) no. 1, p. 1960-1989 / Harvested from Project Euclid
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In 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−ɛ theorem for interacting particle systems.
Publié le : 2006-09-14
Classification:  Poincaré inequality,  transportation inequality,  Gibbs measure,  Dobrushin’s uniqueness condition,  60E15,  60K35,  60G60 
@article{1163517230,
     author = {Wu, Liming},
     title = {Poincar\'e and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition},
     journal = {Ann. Probab.},
     volume = {34},
     number = {1},
     year = {2006},
     pages = { 1960-1989},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1163517230}
}

Wu, Liming. Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition. Ann. Probab., Tome 34 (2006) no. 1, pp.  1960-1989. http://gdmltest.u-ga.fr/item/1163517230/