24 citations · 75 across the 31 of their papers we have counts for
38 papers
Line, Spiral, Dense in Space
Atakora Agoro, Alastair N. Fletcher
Dobbs proved that the second iterate of almost every line in the complex plane under the exponential function is dense in the plane. In this paper, we prove an analogous result for…
A Unified Approach to Quasiregular Linearization in the Plane
Alastair N. Fletcher, Jacob Pratscher
We generalize the classical König's and Böttcher's Theorems in complex dynamics to certain quasiregular mappings in the plane. Our approach to these results is unified in the sense…
Phragmén-Lindelöf Principles and Julia Limiting Directions of Quasiregular Mappings
Alastair N. Fletcher, Julie M. Steranka
We show that the set of Julia limiting directions of a transcendental-type -quasiregular mapping must contain a component of a certain size, dep…
Genus Cantor sets and germane Julia sets
Alastair N. Fletcher, Daniel Stoertz, Vyron Vellis
The primary aim of this paper is to give topological obstructions to Cantor sets in being Julia sets of uniformly quasiregular mappings. Our main tool is the genus o…
Normal families and quasiregular mappings
Alastair N. Fletcher, Daniel A. Nicks
Beardon and Minda gave a characterization of normal families of holomorphic and meromorphic functions in terms of a locally uniform Lipschitz condition. Here, we generalize this vi…
On the mean radius of quasiconformal mappings
Alastair Fletcher, Jacob Pratscher
We study the mean radius growth function for quasiconformal mappings. We give a new sub-class of quasiconformal mappings in , for , called bounded integrable…