Multidimensional local central limit theorem of some non-uniformly hyperbolic systems

DOI10.1007/s10114-009-7318-1zbMath1183.37074OpenAlexW2162475703MaRDI QIDQ1034280

Hongqiang Xia

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7318-1

zbMATH Keywords

Perron-Frobenius operatorcentral limit theoremtransfer operatornonuniform hyperbolic diffeomorphism

Mathematics Subject Classification ID

Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Cites Work

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• Statistical properties of dynamical systems with some hyperbolicity
• Limit theorems for locally perturbed planar Lorentz processes
• Berry--Esseen theorem and local limit theorem for non uniformly expanding maps
• Théorie ergodique pour des classes d'opérations non completement continues
• Markov Partitions are not Smooth
• Sur un critère de récurrence en dimension 2 pour les marches stationnaires, applications
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• GIBBS MEASURES IN ERGODIC THEORY
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms