Quasiregular dynamics on the n-sphere

Fletcher, Alastair N. and Nicks, Daniel (2011). Quasiregular dynamics on the n-sphere. Ergodic Theory and Dynamical Systems, 31(1), pp. 23–31.

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DOI (Digital Object Identifier) Link:	http://dx.doi.org/doi:10.1017/S0143385709001072
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Abstract

In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on ℝⁿ, both in the uniformly quasiregular case and in the polynomial type case. The aim is to show that ∂I(f) is the Julia set J(f) when the latter is defined, and shares properties with the Julia set when J(f) is not defined.

Item Type:	Journal Article
Copyright Holders:	2009 Cambridge University Press
ISSN:	0143-3857
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	28386
Depositing User:	Daniel Nicks
Date Deposited:	30 Mar 2011 15:16
Last Modified:	23 Oct 2012 16:44
URI:	http://oro.open.ac.uk/id/eprint/28386

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