On the ergodicity of partially hyperbolic systems

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dc.creatorBurns, Keith
dc.creatorWilkinson, Amie
dc.date2005-10-11
dc.date.accessioned2026-07-07T06:47:22Z
dc.date.available2026-07-07T06:47:22Z
dc.descriptionPugh and Shub have conjectured that essential accessibility implies ergodicity, for a $C^2$, partially hyperbolic, volume-preserving diffeomorphism. We prove this conjecture under a mild center bunching assumption, which is satsified by all partially hyperbolic systems with 1-dimensional center bundle. We also obtain ergodicity results for $C^{1+γ}$ partially hyperbolic systems.
dc.description46 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0510234
dc.identifierhttp://arxiv.org/abs/math/0510234
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103633
dc.subjectDynamical Systems
dc.subject37D30; 37C40
dc.titleOn the ergodicity of partially hyperbolic systems
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