Transportation inequalities: From Poisson to Gibbs measures

Details Transportation inequalities: From Poisson to Gibbs measures Transportation inequalities: From Poisson to Gibbs measures

2011-02-11

arxiv.org/abs/1102.2297v1

Bernoulli 2011, Vol. 17, No. 1, 155-169

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.3150/00-BEJ268 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statisti

Scientific paper

10.3150/00-BEJ268

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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