Stable transitivity of Euclidean group extensions
Melbourne, Ian and Nicol, Matthew (2003) Stable transitivity of Euclidean group extensions Dynamical Systems.
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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|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 :||23 Sep 2013 18:32|
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