The Bernoulli property for weakly hyperbolic systems

Maria José Pacifico | Arbieto, Alexander | Matheus, Carlos

Keywords: Bernoulli | mixing | dominated splittings | non-uniform hyperbolicity

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.

Anexos:

• jsp1.ps