Multifractal Analysis of Ergodic Averages in Some Nonuniformly Hyperbolic Systems

Xiaoyao Zhou; Ercai Chen

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arXiv · 1310.2348

Multifractal Analysis of Ergodic Averages in Some Nonuniformly Hyperbolic Systems

Xiaoyao Zhou·Ercai Chen

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Abstract

This article is devoted to the study of the multifractal analysis of ergodic averages in some nonuniformly hyperbolic systems. In particular, our results hold for the robust classes of multidimensional nonuniformly expanding local diffeomorphisms and Viana maps.

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Xiaoyao Zhou, Ercai Chen. 2013-10-09. Multifractal Analysis of Ergodic Averages in Some Nonuniformly Hyperbolic Systems. https://arxiv.org/abs/1310.2348

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