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arXiv · 1612.05056

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

Lucas Backes·Mauricio Poletti·Paulo Varandas·Yuri Lima
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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.

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Lucas Backes, Mauricio Poletti, Paulo Varandas, Yuri Lima. 2018-01-02. Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems. https://doi.org/10.1017/etds.2019.22

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