Weak Gibbs Measures: Speed of Convergence to Entropy, Topological and Geometrical Aspects

Abstract. In this paper we obtain exponential large deviation bounds in the Shannon-McMillan-Breiman convergence formula for entropy in the case of weak Gibbs measures and topologically mixing subshifts of finite type. We also prove almost sure estimates for the error term in the convergence to entropy given by Shannon-McMillan-Breiman formula for both… CONTINUE READING