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arxiv: 1611.10158 · v1 · pith:TMVOGJF6new · submitted 2016-11-30 · 🧮 math.DS

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 This is my paper
classification 🧮 math.DS
keywords cocycleshyperboliclyapunovsemisimplealmostbasesclassicalexponent
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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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