Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky
arXiv:1501.00673
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.