Abstract
We consider SL(2, ℝ)-valued cocycles over rotations of the circle and prove that they are likely to have Lyapunov exponents ≈ ±logλ if the norms of all of the matrices are ≈ λ. This is proved for λ sufficiently large. The ubiquity of elliptic behavior is also observed. † This research is partially supported by the National Science Foundation.
Original language | English (US) |
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Pages (from-to) | 483-504 |
Number of pages | 22 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 17 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1997 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics