Translator Disclaimer
September 2006 Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition
Liming Wu
Ann. Probab. 34(5): 1960-1989 (September 2006). DOI: 10.1214/009117906000000368

Abstract

In in this paper we establish an explicit and sharp estimate of the spectral gap (Poincaré inequality) and the transportation inequality for Gibbs measures, under the Dobrushin uniqueness condition. Moreover, we give a generalization of the Liggett’s Mɛ theorem for interacting particle systems.

Citation

Download Citation

Liming Wu. "Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness condition." Ann. Probab. 34 (5) 1960 - 1989, September 2006. https://doi.org/10.1214/009117906000000368

Information

Published: September 2006
First available in Project Euclid: 14 November 2006

zbMATH: 1111.60079
MathSciNet: MR2271488
Digital Object Identifier: 10.1214/009117906000000368

Subjects:
Primary: 60E15, 60K35
Secondary: 60G60

Rights: Copyright © 2006 Institute of Mathematical Statistics

JOURNAL ARTICLE
30 PAGES


SHARE
Vol.34 • No. 5 • September 2006
Back to Top