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