Multifractal analysis of Birkhoff averages for countable Markov maps - Mathematics > Dynamical SystemsReportar como inadecuado




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Abstract: In this paper we prove a multifractal formalism of Birkhoff averages forinterval maps with countably many branches. Furthermore, we prove that undercertain regularity assumptions on the potential the Birkhoff spectrum is realanalytic. Applications of these results to number theory are also given.Finally, we compute the Hausdorff dimension of the set of points for which theBirkhoff average is infinite.



Autor: Godofredo Iommi, Thomas Jordan

Fuente: https://arxiv.org/







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