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Stable transitivity of Euclidean group extensions

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


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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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Nicol, Matthew
Date : 1 April 2003
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.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:40
Last Modified : 31 Oct 2017 14:01

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