38 citations · 120 across the 20 of their papers we have counts for
27 papers
Genericity of historic behavior for maps and flows
Maria Carvalho, Paulo Varandas
We establish a sufficient condition for a continuous map, acting on a compact metric space, to have a Baire residual set of points exhibiting historic behavior (also known as irreg…
A convex analysis approach to entropy functions, variational principles and equilibrium states
Andrzej Bis, Maria Carvalho, Miguel Mendes +1
The first aims of this work are to endorse the advent of finitely additive set functions as equilibrium states and the possibility to replace the metric entropy by an upper semi-co…
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…