For generic volume-preserving diffeomorphisms, a minimal expanding foliation with a matching-index periodic point is stably minimal, yielding robust mixing and an essentially dense hyperbolic ergodic component.
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Stable minimality of expanding foliations
For generic volume-preserving diffeomorphisms, a minimal expanding foliation with a matching-index periodic point is stably minimal, yielding robust mixing and an essentially dense hyperbolic ergodic component.