3 papers
math.CV2023
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…
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…
math.CV2019
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…