20 citations · 46 across the 13 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
math.DS2012★ 20 cited
On weakly hyperbolic iterated functions systems
Alexander Arbieto, André Junqueira, Bruno Santiago
We study weakly hyperbolic iterated function systems on compact spaces, as defined by Edalat, but in the more general setting of a compact parameter space. We prove the existence o…
math.DS2012★ 1 cited
Lyapunov stability and sectional-hyperbolicity for higher-dimensional flows
A. Arbieto, C. A. Morales, B. Santiago
We study -generic vector fields on closed manifolds without points accumulated by periodic orbits of different indices and prove that they exhibit finitely many sinks and sect…