102 citations · 473 across the 49 of their papers we have counts for
52 papers
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…
On the number of ergodic physical/SRB measures of singular-hyperbolic attracting sets
Vitor Araujo
It is known that sectional-hyperbolic attracting sets, for a flow on a finite dimensional compact manifold, have at most finitely many ergodic physical invariant probability…
Robust Exponential Mixing and Convergence to Equilibrium for Singular Hyperbolic Attracting Sets
Vitor Araujo, Edvan Trindade
We extend results on robust exponential mixing for geometric Lorenz attractors, with a dense orbit and a unique singularity, to singular-hyperbolic attracting sets with any number…
On the statistical stability of families of attracting sets and the contracting Lorenz attractor
Vitor Araujo
We present criteria for statistical stability of attracting sets for vector fields using dynamical conditions on the corresponding generated flows. These conditions are easily veri…
On robust expansiveness for sectional hyperbolic attracting sets
Vitor Araujo, Junilson Cerqueira
We prove that sectional-hyperbolic attracting sets for vector fields are robustly expansive (under an open technical condition of strong dissipative for higher codimensional…
Finitely many physical measures for sectional-hyperbolic attracting sets and statistical stability
Vitor Araujo
We show that a sectional-hyperbolic attracting set for a Hölder- vector field admits finitely many physical/SRB measures whose ergodic basins cover Lebesgue almost all points…