The size of the Julia set of meromorphic functions

2007/01/09 by Volker Mayer, Mayer, Volker · 1 citation
Mathematics · #30D05 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0701256

openalex publication_date 2007/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a lower bound of the hyperbolic and the Hausdorff dimension of the Julia set of meromorphic functions of finite order under very general conditions.

Cited by

• Ergodic properties of sub-hyperbolic functions with polynomial Schwarzian derivative

Related

• Dimensions of non-autonomous meromorphic functions of finite order
• On hyperbolic dimension gap for entire functions
• Hausdorff dimension of Julia sets in the logistic family
• Hausdorff dimension of Julia sets of unicritical correspondences
• Large scaled geometry of Julia sets of entire and meromorphic functions