Simplicity over singular hyperbolicity

Abstract

We prove that Lyapunov exponents of typical Hölder continuous fiber bunched linear cocycles over singular hyperbolic flows have multiplicity 1: the subspace of exceptional cocycles has infinite codimension.

preliminary version. 14 pages

References in corpus (2)

• $L^p$-generic cocycles have one-point Lyapunov spectrum
• Positive Lyapunov exponents for symplectic cocycles