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Stable transitivity of Euclidean group extensions
Published online by Cambridge University Press: 22 September 2003
Abstract
The topological transitivity of non-compact group extensions of topologically mixing subshifts of finite type has been studied recently by Niţică. 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\ge4.
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- Research Article
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- 2003 Cambridge University Press
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