Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky
Probability
2015-01-06 v1 Mathematical Physics
math.MP
Abstract
We give a detailed and refined proof of the Dobrushin-Pechersky uniqueness criterion extended to the case of Gibbs fields on general graphs and single-spin spaces, which in particular need not be locally compact. The exponential decay of correlations under the uniqueness condition has also been established.
Keywords
Cite
@article{arxiv.1501.00673,
title = {Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky},
author = {Diana Conache and Yuri Kondratiev and Yuri Kozitsky and Tanja Pasurek},
journal= {arXiv preprint arXiv:1501.00673},
year = {2015}
}