Publication

Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

Charles Pfister
2020
Journal Articles

Abstract

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).

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Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces

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