Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets

DOI10.1017/S0143385704000355zbMath1076.37016OpenAlexW2070540173WikidataQ115336303 ScholiaQ115336303MaRDI QIDQ5695832

Andrei Török, Michael Field, Ian Melbourne

Publication date: 6 October 2005

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

Full work available at URL: https://doi.org/10.1017/s0143385704000355

zbMATH Keywords

stabilityergodicitymixingtransitivitygenericityhyperbolic basic setLie group extensions\(C^2\) diffeomorphism

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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