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Quasiregular dynamics on the n-sphere
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Fletcher, Alastair and Nicks, Daniel A.. (2011) Quasiregular dynamics on the n-sphere. Ergodic Theory and Dynamical Systems, Vol.31 (No.1). pp. 23-31. ISSN 0143-3857
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Official URL: http://dx.doi.org/10.1017/S0143385709001072
Abstract
In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on R(n), both in the uniformly quasiregular case and in the polynomial type case. The aim is to show that partial derivative 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Ergodic Theory and Dynamical Systems |
| Publisher: | Cambridge University Press |
| ISSN: | 0143-3857 |
| Date: | February 2011 |
| Volume: | Vol.31 |
| Number: | No.1 |
| Page Range: | pp. 23-31 |
| Identification Number: | 10.1017/S0143385709001072 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
| Grant number: | EP/G050120/1 (EPSRC) |
| URI: | http://wrap.warwick.ac.uk/id/eprint/42033 |
Data sourced from Thomson Reuters' Web of Knowledge
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