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Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
Published online by Cambridge University Press: 11 April 2019
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 linear cocycles.
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- © Cambridge University Press, 2019
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