24 citations · 75 across the 31 of their papers we have counts for
4 papers · 1 filter
Genus 2 Cantor sets
Alastair N. Fletcher, Daniel Stoertz
We construct a geometrically self-similar Cantor set of genus in . This construction is the first for which the local genus is shown to be at every point…
On Julia limiting directions in higher dimensions
Alastair Fletcher
In this paper we study, for the first time, Julia limiting directions of quasiregular mappings in of transcendental-type. First, we give conditions under which every…
The maximum modulus set of a quasiregular map
Alastair N. Fletcher, David J. Sixsmith
We study, for the first time, the maximum modulus set of a quasiregular map. It is easy to see that these sets are necessarily closed, and contain at least one point of each modulu…
On uniformly disconnected Julia sets
Alastair N. Fletcher, Vyron Vellis
It is well-known that the Julia set of a hyperbolic rational map is quasisymmetrically equivalent to the standard Cantor set. Using the uniformization theorem of David and Semmes,…