Bernoulli

  • Bernoulli
  • Volume 17, Number 1 (2011), 155-169.

Transportation inequalities: From Poisson to Gibbs measures

Yutao Ma, Shi Shen, Xinyu Wang, and Liming Wu

Full-text: Open access

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.

Article information

Source
Bernoulli, Volume 17, Number 1 (2011), 155-169.

Dates
First available in Project Euclid: 8 February 2011

Permanent link to this document
https://projecteuclid.org/euclid.bj/1297173837

Digital Object Identifier
doi:10.3150/00-BEJ268

Mathematical Reviews number (MathSciNet)
MR2797986

Zentralblatt MATH identifier
1284.60045

Keywords
Gibbs measures Poisson point processes transportation inequalities

Citation

Ma, Yutao; Shen, Shi; Wang, Xinyu; Wu, Liming. Transportation inequalities: From Poisson to Gibbs measures. Bernoulli 17 (2011), no. 1, 155--169. doi:10.3150/00-BEJ268. https://projecteuclid.org/euclid.bj/1297173837


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