University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Stable transitivity of Euclidean group extensions

Melbourne, Ian and Nicol, Matthew (2003) Stable transitivity of Euclidean group extensions Dynamical Systems.

[img]
Preview
PDF
fulltext.pdf

Download (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
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1369

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800