24 citations · 75 across the 31 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.DS2022
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…
math.CV2022
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…
math.CV2022
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…