Large Deviation Properties in Some Nonuniformly Hyperbolic Systems Via Pesin Theory
Zheng Yin, Ercai Chen
TL;DR
This paper investigates large deviation properties in certain nonuniformly hyperbolic systems using Pesin theory, extending results to systems like those described by Katok and related Anosov-derived diffeomorphisms.
Contribution
It provides new large deviation results for nonuniformly hyperbolic systems using Pesin theory, applicable to Katok's systems and others derived from Anosov systems.
Findings
Established large deviation principles for nonuniformly hyperbolic diffeomorphisms
Extended Pesin theory applications to broader classes of systems
Provided mathematical framework for analyzing deviations in complex dynamical systems
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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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems