… In this paper we derived a variational principle for the specific entropy on the context of
symbolic dynamics of compact metric space alphabets and use this result to obtain the
uniqueness of the equilibrium states associated to a Walters potential. … in the context of
symbolic dynamics for potentials in the Walters class, see Definition 4.1. We also show that
the entropy defined in 9 is equal to the specific entropy (or mean entropy or entropy rate)
commonly used in Statistical Mechanics (see 6) and as by-product a variational formulation …