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Decay of Correlations via induced Weak Gibbs Markov maps for non-H\"{o}lder observables

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arxiv 2403.09528 v2 pith:GKVSBRLP submitted 2024-03-14 math.DS

Decay of Correlations via induced Weak Gibbs Markov maps for non-H\"{o}lder observables

classification math.DS
keywords correlationsdecayinducedlderobservablesweakadmittingcentral
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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 H\"{o}lder, characterized by suitable moduli of continuity.

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