Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces

Abstract

We prove that, for semi-invertible continuous cocycles, continuity of Lyapunov exponents is equivalent to continuity, in measure, of Oseledets subspaces.

Final version. To appear in Stochastics and Dynamics

References in corpus (1)

• On Hoelder-continuity of Oseledets subspaces

Cited by in corpus (2)

• Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
• Periodic approximation of Oseledets subspaces for semi-invertible cocycles