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math.DS2020
On Julia limiting directions in higher dimensions
Alastair Fletcher
In this paper we study, for the first time, Julia limiting directions of quasiregular mappings in of transcendental-type. First, we give conditions under which every…
math.DS2020
On uniformly disconnected Julia sets
Alastair N. Fletcher, Vyron Vellis
It is well-known that the Julia set of a hyperbolic rational map is quasisymmetrically equivalent to the standard Cantor set. Using the uniformization theorem of David and Semmes,…