does positive K-S entropy imply mixing?

Hello!

I searched the literature on ergodic theory but could not find a
theorem stating that every system with positive KS-entropy is strongly
mixing or an example of a mixing system that does not have any positive
KS entropy. Of course, I know that every system with completely
positive KS-entropy is mixing, but what happens if the system just has
a positive KS-entropy but not a completely positive KS entropy? Does
anyone know more about the link between a positive KS-entropy and
mixing?

Thank you!

My best wishes, Charlotte

.

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