The authors prove Anderson localization for almost every phase x and large coupling λ in Schrödinger operators with monotone doubling-map potentials, and for both small and large λ when the potential has zero mean.
M.:Localization and cantor spectrum for quasiperiodic discrete Schrödinger operators with asymmetric, smooth, cosine-like sampling functions.Dis- sertation, Yale University (2022)
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Anderson Localization for Schr\"{o}dinger Operators with Monotone Potentials Generated by the Doubling Map
The authors prove Anderson localization for almost every phase x and large coupling λ in Schrödinger operators with monotone doubling-map potentials, and for both small and large λ when the potential has zero mean.