24 citations · 75 across the 31 of their papers we have counts for
17 papers · 1 filter
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…
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…
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…
A Complete Realization of the orbits of generalized derivatives of Quasiregular Mappings
Alastair Fletcher, Jacob Pratscher
Quasiregular maps are differentiable almost everywhere maps which are analogous to holomorphic maps in the plane for higher real dimensions. Introduced by Gutlyanskii et al, the in…