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Thermodynamic formalism and multifractal analysis of Birkhoff averages for non-uniformly expanding Rényi interval maps with countably many branches

Arima, Yuya
arXiv (All) · Papers
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dynamical-systems
In this paper, we study the multifractal spectrum of Birkhoff averages for non-uniformly expanding Rényi interval maps with countably many branches. Our main theorem substantially strengthens conditional variational formulas established by Jaerisch and Takahasi. Furthermore, our results enable a det
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