Abstract:Let Γ be a sofic group, Σ be a sofic approximation sequence of Γ and X be a Γ-subshift with nonnegative sofic topological entropy with respect to Σ. Further assume that X is a shift of finite type, or more generally, that X satisfies the topological Markov property. We show that for any sufficiently regular potential f : X → R, any translation-invariant Borel probability measure on X which maximizes the measure-theoretical sofic pressure of f with respect to Σ, is a Gibbs state with respect to f . This extends… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.