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A uniform dichotomy for generic ${\rm SL}(2,{\mathbb{R}})$ cocycles over a minimal base

Artur AvilaJairo Bochi

2007Bulletin de la Société mathématique de FranceMathematics被引 25开放获取

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摘要

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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Artur Avila, Jairo Bochi. A uniform dichotomy for generic ${\rm SL}(2,{\mathbb{R}})$ cocycles over a minimal base[J]. Bulletin de la Société mathématique de France, 2007.

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DOI:https://doi.org/10.24033/bsmf.2540

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