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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.DS2023
Phragmén-Lindelöf Principles and Julia Limiting Directions of Quasiregular Mappings
Alastair N. Fletcher, Julie M. Steranka
We show that the set of Julia limiting directions of a transcendental-type -quasiregular mapping must contain a component of a certain size, dep…