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Multifractal Analysis of Dimension Spectrum in Non-uniformly Hyperbolic Systems

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Abstract

We study the multifractal analysis of dimension spectrum for almost additive potentials in a class of one-dimensional non-uniformly hyperbolic dynamic systems.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Xiao Yao

  2. School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, Henan, China

    Guan-Zhong Ma

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  1. Xiao Yao
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  2. Guan-Zhong Ma
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Correspondence to Guan-Zhong Ma.

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Yao, X., Ma, GZ. Multifractal Analysis of Dimension Spectrum in Non-uniformly Hyperbolic Systems. Mediterr. J. Math. 13, 3069–3090 (2016). https://doi.org/10.1007/s00009-015-0672-6

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  • DOI: https://doi.org/10.1007/s00009-015-0672-6

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