Transitivity of Euclidean-type extensions of hyperbolic systems

DOI10.1017/S0143385708000886zbMath1181.37030OpenAlexW2055902666MaRDI QIDQ3645390

Andrei Török, Viorel Niţiča, Ian Melbourne

Publication date: 18 November 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385708000886

zbMATH Keywords

hyperbolic setspecial Euclidean groupEuclidean-type grouptransitive cocycles

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

Related Items (5)

Transitivity of Heisenberg group extensions of hyperbolic systems ⋮ Stable topological transitivity properties of ℝⁿ-extensions of hyperbolic transformations ⋮ Ergodic properties of skew products in infinite measure ⋮ Forced linear oscillators and the dynamics of Euclidean group extensions ⋮ Open and dense topological transitivity of extensions by non-compact fiber of hyperbolic systems: a review

Cites Work

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• Stable transitivity of certain noncompact extensions of hyperbolic systems
• Livsic theorems for connected Lie groups
• Stable transitivity of Euclidean group extensions
• Transitivity of Euclidean extensions of Anosov diffeomorphisms
• Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets
• An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one

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