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

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

2006-11-13

arxiv.org/abs/math/0611397v3

Bulletin de la Societe Mathematique de France 135 (2007), 407--417.

Mathematics

Dynamical Systems

10 pages

Scientific paper

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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