Density of positive Lyapunov exponents for symplectic cocycles

  • Disheng Xu

    Royal Institute of Technology, Stockholm, Sweden
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Abstract

We prove that Sp-cocycles, HSp()-cocycles 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 Schrödinger operator on the strip, we prove a similar result for density of positive Lyapunov exponents. This generalizes a result of A. Avila [2] to higher dimensions.

Cite this article

Disheng Xu, Density of positive Lyapunov exponents for symplectic cocycles. J. Eur. Math. Soc. 21 (2019), no. 10, pp. 3143–3190

DOI 10.4171/JEMS/899