9 citations · 29 across the 12 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★ 1 cited
Uniformly quasiconformal partially hyperbolic systems
Clark Butler, Disheng Xu
We study smooth volume-preserving perturbations of the time-1 map of the geodesic flow of a closed Riemannian manifold of dimension at least three with constant negative cu…
math.DS2016
Singular analytic linear cocycles with negative infinite Lyapunov exponents
Christian Sadel, Disheng Xu
We show that linear analytic cocycles where all Lyapunov exponents are negative infinite are nilpotent. For such one-frequency cocycles we show that they can be analytically conjug…