Thermodynamical Formalism and Multifractal Analysis for Meromorphic\n Functions of finite order

2007/01/10 by Volker Mayer, Mayer, Volker, Mariusz Urbański +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #54C40 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical functions and polynomials #Matrix Theory and Algorithms #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.math/0701275

openalex publication_date 2007/01/10 · openalex created_date 2022/09/25 · openalex updated_date 2026/07/28

Abstract

We first use Nevanlinna theory to provide full thermodynamical formalism for\na very general class of meromorphic functions of finite order. Finer stochastic\nproperties of the Perron-Frobenius operator are given and finally we provide\nthe multifractal analysis of Gibbs states.\n

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