Lyapunov exponents for some quasi-periodic cocycles

Author:

YOUNG L.-S.

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

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