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

Chao Wang, Yuanyuan Peng, Daxiong Piao

We study discrete Schrödinger operators on \(\ell^2(\mathbb Z)\) generated by the vector-frequency two-step skew shift \(T_ω(x,y)=(x+ω,x+y)\), with an arbitrary nonconstant real-an…