Local central limit theorem and Berry-Esseen theorem for some nonuniformly hyperbolic diffomorphisms

DOI10.1016/S0252-9602(10)60071-9zbMath1240.37038OpenAlexW2139407500MaRDI QIDQ551359

Hongqiang Xia

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60071-9

zbMATH Keywords

Hénon mapBerry-Esseen theoremlocal central limit theoremnonuniform hyperbolic diffeomorphism

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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