On the ergodicity of partially hyperbolic systems

@inproceedings{Burns2005OnTE,
  title={On the ergodicity of partially hyperbolic systems},
  author={Keith Burns and Amie Wilkinson},
  year={2005}
}
Pugh and Shub have conjectured that essential accessibility implies ergodicity for a C , partially hyperbolic, volume-preserving diffeomorphism. We prove this conjecture under a mild center bunching assumption, which is satisfied in particular by all partially hyperbolic systems with 1-dimensional center bundle. We also obtain ergodicity results for C 1Ci partially hyperbolic systems. 

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