On the ergodicity of partially hyperbolic systems

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Pugh 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.
46 pages, 4 figures

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Dynamical Systems, 37D30; 37C40

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http://salesiana.dossiersoluciones.com/handle/123456789/103633

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510234
 http://arxiv.org/abs/math/0510234

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arXiv