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Large Deviation Properties in Some Nonuniformly Hyperbolic Systems Via Pesin Theory

2014/12/02 by Zheng Yin, Yin, Zheng, Ercai Chen +1
Mathematics · Physics and Astronomy · #37C40 #37D25 #60F10 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1412.0764

openalex publication_date 2014/12/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

This article is devoted to level-1 large deviation properties in some nonuniformly hyperbolic systems via Pesin theory. In particular, our result can be applied to the nonuniformly hyperbolic diffeomorphisms described by Katok and several other classes of diffeomorphisms derived from Anosov systems.

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