5 citations · 6 across the 7 of their papers we have counts for
7 papers
On sufficient conditions for the transitivity of homeomorphisms
Maria Carvalho, Vinícius Coelho, Luciana Salgado
We derive a necessary and sufficient condition for a homeomorphism with the shadowing property to be topologically transitive: to have an invariant subset , dense in the non-wan…
On the completely irregular set for systems with the shadowing property
Maria Carvalho, Vinícius Coelho, Luciana Salgado
We prove that the completely irregular set is Baire generic for every non-uniquely ergodic transitive continuous map which satisfies the shadowing property and acts on a compact me…
Sensitivity and historic behavior for continuous maps on Baire metric spaces
M. Carvalho, V. Coelho, L. Salgado +1
We introduce a notion of sensitivity, with respect to a continuous bounded observable, which provides a sufficient condition for a continuous map, acting on a Baire metric space, t…
A Kingman-like Theorem
Vinicius Coelho, Luciana Salgado
We provide a Kingman-like Theorem for arbitrary finite measures and a version of Birkhoff's Theorem for bounded observable. As an application, we show that Birkhoff's limit exists…
A note on Basis Problem in normed spaces
Vinicius Coelho, Joilson Ribeiro, Luciana Salgado
In this work, we prove the criterion of Banach-Grunblum and the principle of selection of Bessaga-Pełczyński for normed spaces. As applications of these results, we show the Princi…
Adapted metrics for singular hyperbolic flows
Vitor Araujo, Vinicius Coelho, Luciana Salgado
Singular and sectional hyperbolic sets are the objects of the extension of the classical Smale Hyperbolic Theory to flows having invariant sets with singularities accumulated by re…
Adapted Metrics for Codimension one Singular Hyperbolic Flows
Luciana Salgado, Vinicius Coelho
For a partially hyperbolic splitting a vector field on a -manifold , we obtain singular hyperbolicity whether is one-dimensional subspace, based on the idea of…