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Multifractal analysis of the historic set in non-uniformly hyperbolic systems

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We get the exact Hausdorff dimension of the historic set for ratios of the Birkhoff average in a class of one dimensional non-uniformly hyperbolic dynamical systems. Click to show full abstract

We get the exact Hausdorff dimension of the historic set for ratios of the Birkhoff average in a class of one dimensional non-uniformly hyperbolic dynamical systems.

Keywords: multifractal analysis; analysis historic; uniformly hyperbolic; historic set; non uniformly

Journal Title: Archiv der Mathematik
Year Published: 2017

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