A central limit theorem for periodic orbits of hyperbolic flows

DOI10.1080/14689367.2020.1849030OpenAlexW3118807138WikidataQ115549952 ScholiaQ115549952MaRDI QIDQ4994910

Richard Sharp, Stephen Cantrell

Publication date: 22 June 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05692

zbMATH Keywords

counting problemhyperbolic dynamicsweak-mixing hyperbolic flow

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamics induced by flows and semiflows (37C10) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Comparison theorems for closed geodesics on negatively curved surfaces

Cites Work

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• Large deviation asymptotics for Anosov flows
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• Bowen's equidistribution theory and the Dirichlet density theorem
• Prevalence of rapid mixing in hyperbolic flows
• On mixing and the local central limit theorem for hyperbolic flows
• The Equidistribution of Closed Geodesics

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