Decay of Correlations via induced Weak Gibbs Markov maps for non-Hölder observables

Abstract

We obtain estimates on the decay of correlations, Central Limit Theorem and Large Deviations for dynamical systems admitting an induced weak Gibbs--Markov map, for larger classes of observables with weaker regularity than Hölder, characterized by suitable moduli of continuity.

arXiv admin note: substantial text overlap with arXiv:2311.17531