Abstract
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 $ℕ^Λ$ or the continuum Gibbs measure on the configuration space.
Citation
Yutao Ma. Shi Shen. Xinyu Wang. Liming Wu. "Transportation inequalities: From Poisson to Gibbs measures." Bernoulli 17 (1) 155 - 169, February 2011. https://doi.org/10.3150/00-BEJ268
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