17 citations · 69 across the 12 of their papers we have counts for
Showing 2016 · math.DSShow all
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math.DS2016★ 3 cited
The dynamics of quasiregular maps of punctured space
Daniel A. Nicks, David J. Sixsmith
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been extended to quasiregular maps in more than two real dimensions. Our goal in this…
math.DS2016
Escaping sets of continuous functions
Ian Short, David J. Sixsmith
Our objective is to determine which subsets of arise as escaping sets of continuous functions from to itself. We obtain partial answers to this proble…
math.DS2016★ 11 cited
The size and topology of quasi-Fatou components of quasiregular maps
Daniel A. Nicks, David J. Sixsmith
We consider the iteration of quasiregular maps of transcendental type from to . In particular we study quasi-Fatou components, which are defined as the…