Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

摘要

For the spaceXin a large class of finite alphabet shift spaces (lattice models) and the class of functionsfwith bounded total oscillations, we prove that each equilibrium measure nu atf=phi is a weak Gibbs measures for phi-P(phi). In addition, the empirical measures satisfy a full large deviations principle for (X,nu).