Julia sets and wild Cantor sets

Alastair Fletcher; Jang Mei Wu

doi:10.1007/s10711-014-0010-3

Julia sets and wild Cantor sets

Alastair Fletcher, Jang Mei Wu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

There exist uniformly quasiregular maps (Formula presented.) whose Julia sets are wild Cantor sets.

Original language	English (US)
Pages (from-to)	169-176
Number of pages	8
Journal	Geometriae Dedicata
Volume	174
Issue number	1
DOIs	https://doi.org/10.1007/s10711-014-0010-3
State	Published - Feb 2015

Keywords

Antoine’s necklace
Julia sets
Uniformly quasiregular maps
Wild Cantor sets

ASJC Scopus subject areas

Geometry and Topology

Online availability

10.1007/s10711-014-0010-3

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title = "Julia sets and wild Cantor sets",

abstract = "There exist uniformly quasiregular maps (Formula presented.) whose Julia sets are wild Cantor sets.",

keywords = "Antoine{\textquoteright}s necklace, Julia sets, Uniformly quasiregular maps, Wild Cantor sets",

author = "Alastair Fletcher and Wu, {Jang Mei}",

note = "Funding Information: J.-M.W. is partially supported by the National Science Foundation grant DMS-1001669. Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media Dordrecht.",

year = "2015",

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Julia sets and wild Cantor sets

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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