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Quasiregular mappings of polynomial type in R2
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Fletcher, Alastair and Goodman, Dan. (2010) Quasiregular mappings of polynomial type in R2. Conformal Geometry and Dynamics, Vol.14 . pp. 322-336. ISSN 1088-4173
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Official URL: http://dx.doi.org/10.1090/S1088-4173-2010-00219-5
Abstract
Complex dynamics deals with the iteration of holomorphic functions. As is well known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials, which produced beautiful computer generated pictures of Julia sets and the Mandelbrot set. In the same spirit, this article aims to study the dynamics of the simplest non-trivial quasiregular mappings. These are mappings in R2 which are a composition of a quadratic polynomial and an affine stretch.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Conformal Geometry and Dynamics |
| Publisher: | American Mathematical Society |
| ISSN: | 1088-4173 |
| Date: | November 2010 |
| Volume: | Vol.14 |
| Number of Pages: | 15 |
| Page Range: | pp. 322-336 |
| Identification Number: | 10.1090/S1088-4173-2010-00219-5 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | EPSRC |
| Grant number: | EP/G050120/1 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48349 |
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