Anderson Localization for Schrödinger Operators with Monotone Potentials Generated by the Doubling Map

Yuanyuan Peng, Chao Wang, Daxiong Piao

In this paper, we consider the Schrödinger operators on ${\ell }^2(\mathbb{N})$, defined for all $x\in \mathbb{T}$ by \begin{equation} (H(x)u)_n = u_{n+1} + u_{n-1} + λf(2^{n} x) u_n, \q…