We study the positivity of the Lyapunov exponent for a smooth SL(2, ℝ)-valued cocycle defined over a flow from a class which includes the Kronecker flows and others as well. We also discuss the question of the density in the Hölder class of the set of SL(2, ℝ)-cocycles exhibiting an exponential dichotomy when the base flow is of Kronecker type on a 2-torus.
On the Lyapunov exponent of certain SL(2,ℝ)-valued cocycles II
ZAMPOGNI, Luca
2010
Abstract
We study the positivity of the Lyapunov exponent for a smooth SL(2, ℝ)-valued cocycle defined over a flow from a class which includes the Kronecker flows and others as well. We also discuss the question of the density in the Hölder class of the set of SL(2, ℝ)-cocycles exhibiting an exponential dichotomy when the base flow is of Kronecker type on a 2-torus.File in questo prodotto:
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