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Stable transitivity of Euclidean group extensions

Published online by Cambridge University Press:  22 September 2003

IAN MELBOURNE  and
MATTHEW NICOL
IAN MELBOURNE
Affiliation:
Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA (e-mail: [email protected])
MATTHEW NICOL
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK (e-mail: [email protected])
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 2 , April 2003 , pp. 611 - 619
Copyright
2003 Cambridge University Press

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