11 citations · 30 across the 14 of their papers we have counts for
15 papers
Physical measures for asymptotically sectional expanding flows in higher co-dimensions
Vitor Araujo, Luciana Salgado
We obtain sufficient conditions for the existence of physical/SRB measures for asymptotically sectionally hyperbolic attracting sets with any finite co-dimension, extending the co-…
Mostly nonuniformly sectional expanding systems
Vitor Araújo, Luciana Salgado
We introduce the notion of \emph{mostly nonuniform sectional expanding} (MNUSE) for singular flows which encompasses the notions of sectional hyperbolicity, asymptotically sectiona…
A characterization of physical measures for systems with mixed central behavior
Vitor Araujo, Luciana Salgado
We show that the existence of physical measures for smooth instances of certain partially hyperbolic dynamics, both continuous and discrete, exhibiting mixed behavior (p…
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…
Physical measures for mostly sectional expanding flows
Vitor Araujo, Luciana Salgado, Sergio Sousa
We prove that a partially hyperbolic attracting set for a C2 vector field, having slow recurrence to equilibria, supports an ergodic physical/SRB measure if, and only if, the trapp…
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…
Star flows: a characterization via Lyapunov functions
Luciana Silva Salgado
In this work, it is presented a characterization of star property for a vector field based on Lyapunov functions. It is also obtained conditions to strong homogeneity for sin…
Singular Hyperbolicity and sectional Lyapunov exponents of various orders
Luciana Salgado
It is given notions of singular hyperbolicity and sectional Lyapunov exponents of orders beyond the classical ones, namely, other dimensions besides the dimension 2 and the full di…
Partially Dominated Splittings
Luciana Salgado
We propose a weak form of domination, called partially dominated splitting and the main result is that there is a partially dominated splitting over a nonsingular compact invariant…
Dominated splitting for exterior powers and singular hyperbolicity
Vitor Araujo, Luciana Salgado
We relate dominated splitting for a linear multiplicative cocyle with dominated splitting for the exterior powers of this cocycle. For a C1 vector field X on a 3-manifold, we can o…
Infinitesimal Lyapunov functions for singular flows
Vitor Araujo, Luciana Salgado
We present an extension of the notion of infinitesimal Lyapunov function to singular flows, and from this technique we deduce a characterization of partial/sectional hyperbolic set…
Dominated Splittings for Flows with singularities
Vitor Araujo, Alexander Arbieto, Luciana Salgado
We obtain sufficient conditions for an invariant splitting over a compact invariant subset of a flow to be dominated. In particular, we reduce the requirements to obtai…