The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class-Reference-Cited by-同舟云学术

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

Published:2022-09-21 Issue:4 Volume:302 Page:2193-2205
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

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

Link

https://link.springer.com/content/pdf/10.1007/s00209-022-03142-0.pdf

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