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arXiv · 1611.10158

Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases

Mario Bessa·Jairo Bochi·Michel Cambrainha·Carlos Matheus·Paulo Varandas·Disheng Xu
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Abstract

A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.

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Mario Bessa, Jairo Bochi, Michel Cambrainha, Carlos Matheus, Paulo Varandas, Disheng Xu. 2016-11-30. Positivity of the top Lyapunov exponent for cocycles on semisimple Lie groups over hyperbolic bases. https://arxiv.org/abs/1611.10158

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