Transportation inequalities: From Poisson to Gibbs measures
classification
🧮 math.ST
stat.TH
keywords
gibbsmeasuretransportationconfigurationinequalitypoissonspacecondition
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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 $\mathbb{N}^{\Lambda}$ or the continuum Gibbs measure on the configuration space.
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