Derives Volume Lemma, exponential correlations decay, CLT with optimal Berry-Esseen bounds, ASIP, and LDP for Axiom A equilibrium states from a single spectral gap with explicit hyperbolicity dependence.
Annales de l'Institut Henri Poincar\' e , Probabilit\' e s et Statistiques 41(6), 997--1024
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Statistical Limit Theorems for Axiom A Diffeomorphisms: Exponential Mixing, Central Limit Theorem, and Large Deviations
Derives Volume Lemma, exponential correlations decay, CLT with optimal Berry-Esseen bounds, ASIP, and LDP for Axiom A equilibrium states from a single spectral gap with explicit hyperbolicity dependence.