Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
Dynamical Systems
2019-09-12 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1612.05056,
title = {Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems},
author = {Lucas Backes and Mauricio Poletti and Paulo Varandas and Yuri Lima},
journal= {arXiv preprint arXiv:1612.05056},
year = {2019}
}