Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions
Dynamical Systems
2020-11-25 v2 Complex Variables
Abstract
This text provides an overview of the (geometric) thermodynamic formalism for transcendental meromorphic and entire functions with particular emphasis on geometric/fractal aspects such as Bowen's Formula expressing the hyperbolic dimension as a unique zero of a pressure function and the behavior of the latter when the transcendental functions vary in an analytic family.
Keywords
Cite
@article{arxiv.2007.15875,
title = {Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions},
author = {Volker Mayer and Mariusz Urbanski},
journal= {arXiv preprint arXiv:2007.15875},
year = {2020}
}
Comments
Revised Version, 36 pages