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Multifractal properties of return time statistics

N. Hadyn·J. Luevano·G. Mantica·S. Vaienti
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Abstract

Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets of dimensions is established. Theoretical analysis and numerical examples of dynamical systems in the class of Iterated Functions are presented.

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N. Hadyn, J. Luevano, G. Mantica, S. Vaienti. 2001-08-28. Multifractal properties of return time statistics. https://doi.org/10.1103/physrevlett.88.224502

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