Localization for quasiperiodic operators with unbounded monotone\n potentials

2018/07/02 by Ilya Kachkovskiy, Kachkovskiy, Ilya
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1807.00732

openalex publication_date 2018/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish non-perturbative Anderson localization for a wide class of 1D\nquasiperiodic operators with unbounded monotone potentials, extending the\nclassical results on Maryland model and perturbative results for analytic\npotentials by B 'ellissard, Lima, and Scoppola.\n

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