Arithmetic Version of Anderson Localization for Quasiperiodic Schrödinger Operators with Even Cosine Type Potentials

The paper proves arithmetic Anderson localization for one-frequency discrete quasiperiodic Schrödinger operators with even C2 cosine-type potentials, Diophantine frequency α, and Diophantine-in-phase θ∈Θ at large coupling (Theorem 1.1), using Wang–Zhang’s induction to build exponentially localized eigenfunctions, an L-measure absolutely continuous w.r.t. the spectral measure, and a stratified-continuity/completeness argument (all detailed in Sections 2–4). The candidate solution invokes exactly this theorem under the same hypotheses and outlines the same proof ingredients. Hence both are correct and essentially the same argument, with the model summarizing the paper’s method rather than giving a different proof.