Superattracting fixed points of quasiregular mappings
We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a refinement of a result that gives bounds on the distortion of the image of a small spherical shell. This result also ha...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Cambridge University Press
2016
|
| Online Access: | https://eprints.nottingham.ac.uk/32847/ |
| _version_ | 1848794502164119552 |
|---|---|
| author | Fletcher, Alastair Nicks, Daniel A. |
| author_facet | Fletcher, Alastair Nicks, Daniel A. |
| author_sort | Fletcher, Alastair |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a refinement of a result that gives bounds on the distortion of the image of a small spherical shell. This result also has applications to the rate of growth of quasiregular mappings of polynomial type, and to the rate at which the iterates of such maps can escape to infinity. |
| first_indexed | 2025-11-14T19:17:12Z |
| format | Article |
| id | nottingham-32847 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:17:12Z |
| publishDate | 2016 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-328472020-05-04T17:43:25Z https://eprints.nottingham.ac.uk/32847/ Superattracting fixed points of quasiregular mappings Fletcher, Alastair Nicks, Daniel A. We investigate the rate of convergence of the iterates of an n-dimensional quasiregular mapping within the basin of attraction of a fixed point of high local index. A key tool is a refinement of a result that gives bounds on the distortion of the image of a small spherical shell. This result also has applications to the rate of growth of quasiregular mappings of polynomial type, and to the rate at which the iterates of such maps can escape to infinity. Cambridge University Press 2016-05-01 Article PeerReviewed Fletcher, Alastair and Nicks, Daniel A. (2016) Superattracting fixed points of quasiregular mappings. Ergodic Theory and Dynamical Systems, 36 (3). pp. 781-793. ISSN 1469-4417 http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=10264173&fileId=S0143385714000881 doi:10.1017/etds.2014.88 doi:10.1017/etds.2014.88 |
| spellingShingle | Fletcher, Alastair Nicks, Daniel A. Superattracting fixed points of quasiregular mappings |
| title | Superattracting fixed points of quasiregular mappings |
| title_full | Superattracting fixed points of quasiregular mappings |
| title_fullStr | Superattracting fixed points of quasiregular mappings |
| title_full_unstemmed | Superattracting fixed points of quasiregular mappings |
| title_short | Superattracting fixed points of quasiregular mappings |
| title_sort | superattracting fixed points of quasiregular mappings |
| url | https://eprints.nottingham.ac.uk/32847/ https://eprints.nottingham.ac.uk/32847/ https://eprints.nottingham.ac.uk/32847/ |