Stable transitivity of Euclidean group extensions
Tools
Tools
Tools
Melbourne, Ian and Nicol, Matthew (2003) Stable transitivity of Euclidean group extensions Dynamical Systems .
![[img]](/style/images/fileicons/application_pdf.png)
| PDF 108Kb |
Abstract
The topological transitivity of non-compact group extensions of topologically mixing subshifts of finite type has been studied recently by Nitica. We build on these methods, and give the first examples of stably transitive non-compact group extensions of hyperbolic dynamical systems. Our examples include extensions of hyperbolic basic sets by the Euclidean group SE(n) for n even, n greater-than or equal to 4.
| Item Type: | Article |
|---|---|
| Additional Information: | Published in Ergodic Theory and Dynamical Systems (2003), 23:611-619. Cambridge University Press. Copyright © 2003 Cambridge University Press. Reprinted with permission. Click here to visit the journal website. |
| Divisions: | Faculty of Engineering and Physical Sciences > Mathematics |
| ID Code: | 1369 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:40 |
| Last Modified: | 28 Sep 2012 10:50 |
Document Downloads
Repository Staff Only: item control page