Density of positive Lyapunov exponents for symplectic cocycles
Dynamical Systems
2016-01-25 v3
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.
Keywords
Cite
@article{arxiv.1506.05403,
title = {Density of positive Lyapunov exponents for symplectic cocycles},
author = {Disheng Xu},
journal= {arXiv preprint arXiv:1506.05403},
year = {2016}
}