Transportation inequalities: From Poisson to Gibbs measures
Ma, Yutao ; Shen, Shi ; Wang, Xinyu ; Wu, Liming
Bernoulli, Tome 17 (2011) no. 1, p. 155-169 / Harvested from Project Euclid
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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 ℕΛ or the continuum Gibbs measure on the configuration space.
Publié le : 2011-02-15
Classification:  Gibbs measures,  Poisson point processes,  transportation inequalities 
@article{1297173837,
     author = {Ma, Yutao and Shen, Shi and Wang, Xinyu and Wu, Liming},
     title = {Transportation inequalities: From Poisson to Gibbs measures},
     journal = {Bernoulli},
     volume = {17},
     number = {1},
     year = {2011},
     pages = { 155-169},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1297173837}
}

Ma, Yutao; Shen, Shi; Wang, Xinyu; Wu, Liming. Transportation inequalities: From Poisson to Gibbs measures. Bernoulli, Tome 17 (2011) no. 1, pp.  155-169. http://gdmltest.u-ga.fr/item/1297173837/