5 papers · 1 filter
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…
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…