Abstract
We study the regularity of the Lyapunov exponent for quasiperiodic cocycles where is an irrational rotation on and , . For any fixed and any fixed of bounded type, we construct such that the Lyapunov exponent is not continuous at in -topology. We also construct such examples in a smaller Schrödinger class.
Citation
Yiqian Wang. Jiangong You. "Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles." Duke Math. J. 162 (13) 2363 - 2412, 1 October 2013. https://doi.org/10.1215/00127094-2371528