4 papers · 1 filter
On cubic Blaschke products
Alastair N. Fletcher, Alexandra Hill
We show that every cubic Blaschke product has a unique hyperbolic inflection point in the unit disk and, moreover, this point lies at the hyperbolic midpoint of the two critical po…
Geometric Function Theory on Uniformly Quasiconformally Homogeneous Domains
Alastair Fletcher, Allyson Hahn
Uniformly quasiconformally homogeneous domains in carry a transitive collection of -quasiconformal maps for a fixed In this paper, we study two questio…
Interpolating quasiregular power mappings
Jack Burkart, Alastair N. Fletcher, Daniel A. Nicks
We construct a quasiregular mapping in that is the first to illustrate several important dynamical properties: the quasi-Fatou set contains wandering components; the…
Attractor sets and Julia sets in low dimensions
A. Fletcher
If is the attractor set of a conformal IFS in dimension two or three, we prove that there exists a quasiregular semigroup with Julia set equal to . We also show that in…