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.