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

2024/03/14 by Asad Ullah, Ullah, Asad, Helder Vilarinho +1
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2403.09528

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.

Related

• Statistical properties of dynamical systems via induced weak Gibbs Markov maps
• Decay of correlations for non-Holder observables
• Upper and lower bounds for the correlation function via inducing with general return times
• Stochastic-like behaviour in nonuniformly expanding maps
• Fourier decay in nonlinear dynamics