Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
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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| Veröffentlicht in: | Ergodic theory and dynamical systems 2020-11, Vol.40 (11), p.2947-2969 |
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| container_issue | 11 |
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| container_title | Ergodic theory and dynamical systems |
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| creator | BACKES, LUCAS POLETTI, MAURICIO VARANDAS, PAULO LIMA, YURI |
| description | 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. |
| doi_str_mv | 10.1017/etds.2019.22 |
| format | Article |
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| ispartof | Ergodic theory and dynamical systems, 2020-11, Vol.40 (11), p.2947-2969 |
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| language | eng |
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| subjects | Continuous fibers Hyperbolic systems Original Article |
| title | Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems |
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