Transition space for the continuity of the Lyapunov exponent of quasiperiodic Schrödinger cocycles

Lingrui Ge, Yiqian Wang, Jiangong You +1

We construct discontinuous point of the Lyapunov exponent of quasiperiodic Schrödinger cocycles in the Gevrey space $G^s$ with $s>2$. In contrast, the Lyapunov exponent has been…