Assane Lo, Ziad Choucair

A Uniform Convexity Method for Estimating Correlations and Calculating the Derivatives of the Free Energy in Lattice Gas Models of Kac Type

In this paper, we propose a uniform convexity assumption that will lead to a direct proof of the decay of correlations. We also discuss its consequence on the log-Sobolev inequality along with a direct method for calculating the derivatives of the free energy in certain classical unbounded lattice models.

Mathematics Subject Classification: 35-XX, 47F05, 46E05, 00A69, 35Q82, 82B05, 35Qxx

Key words and phrases: Witten Laplacians, decay of correlations, free energy, mixing property, lattice models, log-Sobolev inequality