Periodic domains of quasiregular maps

We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. We give a bound on the rate at which the iterates of such a map can escape to infinity in a periodic component of the quasi-Fatou set. We give examples which show that this result is best possible. Under an addition...

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Bibliographic Details
Main Authors: Nicks, Daniel A., Sixsmith, David J.
Format: Article
Published: Cambridge University Press 2017
Online Access:https://eprints.nottingham.ac.uk/36602/