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Constructing entire functions with non-locally connected Julia set by quasiconformal surgery

Authors :
Zhang, Yanhua
Zhang, Gaofei
Publication Year :
2017

Abstract

We give an alternative way to construct an entire function with quasiconformal surgery so that all its Fatou components are quasi-circles but the Julia set is non-locally connected.<br />Comment: It has been accepted for publication in SCIENCE CHINA Mathematics

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1707.05426
Document Type :
Working Paper