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arxiv: math/0611397 · v3 · submitted 2006-11-13 · 🧮 math.DS

A uniform dichotomy for generic SL(2,R) cocycles over a minimal base

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keywords cocyclesgenericminimaluniformbasecocyclecompactconsider
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We consider continuous $SL(2,R)$-cocycles over a minimal homeomorphism of a compact set $K$ of finite dimension. We show that the generic cocycle either is uniformly hyperbolic or has uniform subexponential growth.

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