Decay of correlations via induced weak Gibbs–Markov maps for non-Hölder observables

Portugaliae Mathematica 2026 Open access

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Authors: Asad Ullah, Helder Vilarinho
DOI: 10.4171/pm/2160
Cited by: 0

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.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Stochastic processes and statistical mechanics advanced mathematical theories

Publication details

Journal / source
Portugaliae Mathematica
Volume
83
Issue
3
Pages
335–365
Publication date
19 January 2026
Language
EN