A uniform convexity method for estimating correlations and calculating the derivatives of the free energy in lattice gas models of Kac type

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General theory of partial differential operators (47F05) Classical equilibrium statistical mechanics (general) (82B05) Second-order elliptic equations (35J15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) General applied mathematics (00A69) Lattices of continuous, differentiable or analytic functions (46E05) PDEs in connection with statistical mechanics (35Q82)

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