2 papers
math.CV2019
Constructing a quasiregular analogue of in dimension 3
Luke Warren
We construct a quasiregular analogue of the function in dimension 3, which gives the first explicit example of a quasiregular mapping of transcendental type that has exa…
math.DS2019
On slow escaping and non-escaping points of quasimeromorphic mappings
Luke Warren
We show that for any quasimeromorphic mapping with an essential singularity at infinity, there exist points whose iterates tend to infinity arbitrarily slowly. This extends a resul…