Slow escaping points of quasiregular mappings

This article concerns the iteration of quasiregular mappings on Rd and entire functions on C. It is shown that there are always points at which the iterates of a quasiregular map tend to infinity at a controlled rate. Moreover, an asymptotic rate of escape result is proved that is new even for trans...

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Bibliographic Details
Main Author: Nicks, Daniel A.
Format: Article
Published: Springer 2016
Online Access:https://eprints.nottingham.ac.uk/35154/