24 citations · 75 across the 31 of their papers we have counts for
4 papers · 1 filter
On quasiregular linearizers
Alastair Fletcher, Douglas Macclure
Linearization is a well-known concept in complex dynamics. If is a polynomial and is a repelling fixed point, then there is an entire function which conjugates to…
Unicritical Blaschke products and domains of ellipticity
Alastair Fletcher
Elliptic Möbius transformations of the unit disk are those for which there is a fixed point in . It is not hard to classify which Möbius transformations are elliptic in…
Superattracting fixed points of quasiregular mappings
Alastair Fletcher, Daniel A. Nicks
We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a…
Julia Sets and wild Cantor sets
Alastair Fletcher, Jang-Mei Wu
There exist uniformly quasiregular maps whose Julia sets are wild Cantor sets.