Remarks concerning the Lyapunov exponents of linear cocycles
2012
Dedicated to Professor Fabio Zanolin on the occasion of his 60th birthday Abstract. We impose a condition of pointwise convergence on the Lyapunov exponents of a d-dimensional cocycle over a compact metric minimal flow. This condition turns out to have significant consequences for the dynamics of the cocycle. We make use of such classical ODE techniques as the Lyapunov-Perron triangularization method, and the ergodic-theoretical techniques of Krylov and Bogoliubov.
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