The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class

Author:

Bergweiler Walter,Cui Weiwei

Abstract

AbstractWe show that for each $$d\in (0,2]$$ d ( 0 , 2 ] there exists a meromorphic function f such that the inverse function of f has three singularities and the Julia set of f has Hausdorff dimension d.

Funder

Christian-Albrechts-Universität zu Kiel

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Hausdorff Dimension of Escaping Sets of Meromorphic Functions in the Speiser Class;International Mathematics Research Notices;2023-07-14

2. Hausdorff dimension of escaping sets of meromorphic functions II;Ergodic Theory and Dynamical Systems;2022-02-03

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