The Library
Iteration of quasiregular tangent functions in three dimensions
Tools
Fletcher, Alastair and Nicks, Daniel A. (2012) Iteration of quasiregular tangent functions in three dimensions. Conformal Geometry and Dynamics, Vol.16 . pp. 1-21. doi:10.1090/S1088-4173-2012-00236-6 ISSN 1088-4173.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1090/S1088-4173-2012-00236-6
Abstract
We define a new quasiregular mapping $ T:\mathbb{R}^3\to \mathbb{R}^3 \cup \{\infty \}$ that generalizes the tangent function on the complex plane and shares a number of its geometric properties. We investigate the dynamics of the family $ \{\lambda T:\lambda >0\}$, establishing results analogous to those of Devaney and Keen for the meromorphic family $ \{z\mapsto \lambda \tan z:\lambda >0\}$, although the methods used are necessarily original.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Conformal Geometry and Dynamics | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 1088-4173 | ||||
Official Date: | 2012 | ||||
Dates: |
|
||||
Volume: | Vol.16 | ||||
Number of Pages: | 22 | ||||
Page Range: | pp. 1-21 | ||||
DOI: | 10.1090/S1088-4173-2012-00236-6 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |