38 citations · 120 across the 20 of their papers we have counts for
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Generic homeomorphisms have full metric mean dimension
Maria Carvalho, Fagner B. Rodrigues, Paulo Varandas
We prove that the upper metric mean dimension of -generic homeomorphisms, acting on a compact smooth boundaryless manifold with dimension greater than one, coincides with the…
Periodic points and measures for a class of skew products
Maria Carvalho, Sebastián A. Pérez
We consider the open set constructed by M. Shub in [42] of partially hyperbolic skew products on the space whose non-wandering set is not stable.…
A formula for the local metric pressure
Maria Carvalho, Sebastián A. Pérez
In this note we present a formula for the local metric pressure that generalizes Brin-Katok result for the metric entropy. As an application, we give a straightforward proof of the…
Moduli of stability for heteroclinic cycles of periodic solutions
Maria Carvalho, Alexander Lohse, Alexandre Rodrigues
We consider vector fields in the three dimensional sphere with an attracting heteroclinic cycle between two periodic hyperbolic solutions with real Floquet multipliers. The p…