The Bernoulli property for weakly hyperbolic systems
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Alexander Arbieto ,
Carlos Matheus ,
Maria José Pacifico
Keywords:
Bernoulli, mixing, dominated splittings, non-uniform hyperbolicity
Preprint series:
Journal of Statistical Physics
Abstract:
We show that for some partially hyperbolic conservative systems,
topological mixing implies mixing (and even the Bernoulli property).
For three dimensions, we define the concept of
\emph{almost robust bernoullicity} and we show that generically among the
non-uniformly hyperbolic systems, the almost robust bernoullicity holds.
We also verify the bernoulli property in the case of strongly partially
hyperbolic systems.
MSC 2000:
37A25 Ergodicity, mixing, rates of mixing
Notes:
To appear in Journal of Statistical Physics
