Superattracting fixed points of quasiregular mappings

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 refinement of a result that gives bounds on the distortion of the image of a small spherical shell. This result also ha...

Full description

Bibliographic Details
Main Authors: Fletcher, Alastair, Nicks, Daniel A.
Format: Article
Published: Cambridge University Press 2016
Online Access:https://eprints.nottingham.ac.uk/32847/