JournalspmVol. 83, No. 3/4pp. 335–365

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

  • Asad Ullah

    Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS), P. R. China

  • Helder Vilarinho

    Universidade da Beira Interior, Covilhã, Portugal
Decay of correlations via induced weak Gibbs–Markov maps for non-Hölder observables cover
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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.

Cite this article

Asad Ullah, Helder Vilarinho, Decay of correlations via induced weak Gibbs–Markov maps for non-Hölder observables. Port. Math. 83 (2026), no. 3/4, pp. 335–365

DOI 10.4171/PM/2160