5 papers
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…
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-…
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 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…
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-PeÅczyÅski for normed spaces. As applications of these results, we show the Prin…