31 citations · 117 across the 31 of their papers we have counts for
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math.DS2016★ 2 cited
Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases
Mario Bessa, Jairo Bochi, Michel Cambrainha +3
A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact c…
math.DS2016
On shadowing and hyperbolicity for geodesic flows on surfaces
Mario Bessa, Maria Joana Torres, Joao Lopes Dias
We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C2-robustly on the metric. Similar results are obtained when considerin…