2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114248In this paper we address the question of proving Anderson localization (AL) for the operator [H(x,ω)ψ](n) := - \vp(n+1) - \vp(n-1) + V\bigl(T^n_ωx\bigr)ψ(n), n\in\mathbb Z where T:\tor^2\to\tor^2 is either the shift or the skew-shift and V is only C^α(\tor^2) for some α>0. We show that under the assumption of positive Lyapunov exponents, (AL) takes place for a.e. frequency, phase, and energy.39 pagesDynamical SystemsMathematical Physics82B44, 39A70, 47B39, 47N55, 81Q10text