Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order
classification
🧮 math.DS
keywords
analysisfiniteformalismfunctionsmeromorphicmultifractalorderthermodynamical
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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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