7 citations · 7 across the 2 of their papers we have counts for
2 papers
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…
math.DS2009★ 7 cited
Multidimensional Rovella-like attractors
V. Araujo, A. Castro, M. J. Pacifico +1
We present a multidimensional flow exhibiting a Rovella-like attractor: a transitive invariant set with a non-Lorenz-like singularity accumulated by regular orbits and a multidimen…