Showing 2024Show all
2 papers · 1 filter
math.CV2024
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…
math.DS2024
An analogue of Green's Functions for Quasiregular Maps
Mark Broderius, Alastair Fletcher
Green's functions are highly useful in analyzing the dynamical behavior of polynomials in their escaping set. The aim of this paper is to construct an analogue of Green's functions…