Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order
Dynamical Systems
2009-01-31 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0701275,
title = {Thermodynamical Formalism and Multifractal Analysis for Meromorphic Functions of finite order},
author = {Volker Mayer and Mariusz Urbanski},
journal= {arXiv preprint arXiv:math/0701275},
year = {2009}
}
Comments
119 pages