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.
Remarks concerning the Lyapunov exponents of linear cocycles / R. Johnson; L. Zampogni. - In: RENDICONTI DELL'ISTITUTO DI MATEMATICA DELL'UNIVERSITÀ DI TRIESTE. - ISSN 0049-4704. - STAMPA. - 44 (Suppl.):(2012), pp. 89-116.
Remarks concerning the Lyapunov exponents of linear cocycles
JOHNSON, RUSSELL ALLAN;
2012
Abstract
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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