Lucas Backes, Mauricio Poletti, Paulo Varandas
Published 2016-12-15Version 1
We prove that generic fiber-bunched and H\"older 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.
A Livšic theorem for matrix cocycles over non-uniformly hyperbolic systems
Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps
Simple Lyapunov spectrum for linear homogeneous differential equations with Lp parameters
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