4 papers
On Simultaneous Linearization
Alastair Fletcher, Douglas Macclure
Given a uniformly quasiregular mapping, there is typically no reason to assume any relationship between linearizers at different repelling periodic points. However, in the current…
Strongly automorphic mappings and Julia sets of uniformly quasiregular mappings
Alastair Fletcher, Doug Macclure
A theorem of Ritt states the a linearizer of a holomorphic function at a repelling fixed point is periodic only if the holomorphic map is conjugate to a power of , a Chebyshev p…
On the infinitesimal space of uqr mappings
Alastair Fletcher, Doug Macclure, James Waterman +1
Generalized derivatives and infinitesimal spaces generalize the idea of derivatives to mappings which need not be differentiable. It is particularly powerful in the context of quas…
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…