Positivity and log-Hölder Continuity of Lyapunov Exponents for Multi-Frequency Skew-Shift Schrödinger Operators

Chao Wang, Yuanyuan Peng, Daxiong Piao

We prove the positivity and continuity of the Lyapunov exponent for one-dimensional discrete Schrödinger operators with multi-frequency skew-shift potentials. For the operator $H_…