Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems

Abstract

We prove that generic fiber-bunched and Hölder continuous linear cocycles over a non-uniformly hyperbolic system endowed with a u-Gibbs measure have simple Lyapunov spectrum. This gives an affirmative answer to a conjecture proposed by Viana in the context of fiber-bunched cocycles.

References in corpus (3)

• Symbolic dynamics for three dimensional flows with positive topological entropy
• Continuity of Lyapunov Exponents for Cocycles with Invariant Holonomies
• Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces

Cited by in corpus (2)

• Quasi-multiplicativity of typical cocycles
• Entropy spectrum of Lyapunov exponents for typical cocycles