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Thermodynamic formalism and multifractal analysis of Birkhoff averages for parabolic rational maps

Arima, Yuya
arXiv (All) · Papers
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In this paper, we study the multifractal analysis of Birkhoff averages for parabolic rational maps. We establish a conditional variational principle and prove the real analyticity and strict monotonicity of the Birkhoff spectrum, as well as the existence and uniqueness of the measure attaining the s
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