Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with markovian structure

Rafael Rigão Souza, Victor Vargas

Consider a compact metric space $(M,d_M)$ and $X=M^{\mathbb{N}}$. We prove a Ruelle's Perron Frobenius Theorem for a class of compact subshifts with Markovian structure introduc…