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arXiv · 1506.05403

Density of positive Lyapunov exponents for symplectic cocycles

Disheng Xu
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Abstract

We prove that Sp(2d;R), HSp(2d) and pseudo unitary cocycles with at least one non-zero Lyapunov exponent are dense in all usual regularity classes for non periodic dynamical systems. For Schr\"odinger operators on the strip, we prove a similar result for density of positive Lyapunov exponents.

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Disheng Xu. 2015-06-17. Density of positive Lyapunov exponents for symplectic cocycles. https://arxiv.org/abs/1506.05403

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