3 papers
math.DS2025
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-…
math.DS2025
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…
math.DS2025
Multidimensional non-uniform hyperbolicity, robust exponential mixing and the basin problem
Vitor Araujo, Vilton Pinheiro
We show that the ergodic, topological and geometric basins coincide for hyperbolic dominated ergodic -Gibbs states, solving the ``basin problem'' for a wide class of non-unifor…