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math.DS2017★ 1 cited
Partially Hyperbolic Sets with a Dynamically Minimal Invariant Lamination
Felipe Nobili
We study partially hyperbolic sets of C1-diffeomorphisms. For these sets there are defined the strong stable and strong unstable laminations. A lamination is called dynamically min…
math.DS2015★ 1 cited
On m-minimal partially hyperbolic diffeomorphisms
Alexander Arbieto, Thiago Catalan, Felipe Nobili
We discuss about the denseness of the strong stable and unstable manifolds of partially hyperbolic diffeomorphisms. In this sense, we introduce a concept of m-minimality. More prec…
math.DS2014★ 5 cited
Minimality of one invariant lamination for partially hyperbolic attractors
Felipe Nobili
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…