Stable transitivity of Euclidean group extensions

Ergodic Theory Dyn. Syst. 23 (2003) 611-619

Ian Melbourne and Matthew Nicol


Abstract

Topological transitivity of noncompact 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 noncompact group extensions of hyperbolic dynamical systems. Our examples include extensions of hyperbolic basic sets by the Euclidean group SE(n) for n even, n>3.


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