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.
Communications in Mathematical Physics 9(4), 267--278
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2026 2verdicts
UNVERDICTED 2representative citing papers
The paper establishes quantitative versions of the stable manifold theorem, shadowing lemma, spectral decomposition, Markov partitions, and Hölder coding for Axiom A diffeomorphisms to transfer symbolic dynamics to the smooth setting.
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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.
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Uniform Hyperbolicity and Symbolic Dynamics: Markov Partitions, Shadowing, and the Coding of Axiom A Diffeomorphisms
The paper establishes quantitative versions of the stable manifold theorem, shadowing lemma, spectral decomposition, Markov partitions, and Hölder coding for Axiom A diffeomorphisms to transfer symbolic dynamics to the smooth setting.