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Transportation inequalities: From Poisson to Gibbs measures
- Source :
- Bernoulli 2011, Vol. 17, No. 1, 155-169
- Publication Year :
- 2011
-
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 $\mathbb{N}^{\Lambda}$ or the continuum Gibbs measure on the configuration space.<br />Comment: Published in at http://dx.doi.org/10.3150/00-BEJ268 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)
- Subjects :
- Mathematics - Statistics Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Bernoulli 2011, Vol. 17, No. 1, 155-169
- Publication Type :
- Report
- Accession number :
- edsarx.1102.2297
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.3150/00-BEJ268