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.

Bibliographische Detailangaben

Veröffentlicht in:	Ergodic theory and dynamical systems 2020-11, Vol.40 (11), p.2947-2969
Hauptverfasser:	BACKES, LUCAS, POLETTI, MAURICIO, VARANDAS, PAULO, LIMA, YURI
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuous fibers Hyperbolic systems Original Article
Online-Zugang:	Volltext
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