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.