Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order

Details Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order

2007-01-10

arxiv.org/abs/math/0701275v2

Mathematics

Dynamical Systems

119 pages

Scientific paper

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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