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arxiv: 1404.5670 · v1 · pith:G6E72LV7new · submitted 2014-04-22 · 🧮 math.DS

Minimality of one invariant lamination for partially hyperbolic attractors

classification 🧮 math.DS
keywords hyperbolicinvariantminimalpartiallyattractorattractorsbundlecenter
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We prove that at least one of the two invariant laminations of a strongly partially hyperbolic attractor with one-dimensional center bundle is minimal. This result extends those in [7] about minimal foliations for robustly transitive diffeomorphisms.

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