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Multifractal analysis of non-uniformly hyperbolic systems

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Abstract

We prove a multifractal formalismfor Birkhoff averages of continuous functions in the case of some non-uniformly hyperbolic maps, which includes interval examples such as the Manneville-Pomeau map.

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Correspondence to Anders Johansson.

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Johansson, A., Jordan, T.M., Öberg, A. et al. Multifractal analysis of non-uniformly hyperbolic systems. Isr. J. Math. 177, 125–144 (2010). https://doi.org/10.1007/s11856-010-0040-y

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  • DOI: https://doi.org/10.1007/s11856-010-0040-y

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