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arXiv math/0701275math.DS
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Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order

Volker Mayer, Mariusz Urbanski

英文摘要:

We first use Nevanlinna theory to provide full thermodynamical formalism for a very general class of meromorphic functions of finite order. Finer stochastic properties of the Perron-Frobenius operator are given and finally we provide the multifractal analysis of Gibbs states.

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