Abstract
We consider $SL(2, {\Bbb R} )$-valued cocycles over rotations of
the circle and prove that they are likely to have Lyapunov exponents $\approx
\pm \log \lambda $ if the norms of all of the matrices are $\approx \lambda
$. This is proved for $\lambda $ sufficiently large. The ubiquity of elliptic
behavior is also observed.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
54 articles.
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