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Homogeneous Spectrum of Quasi-periodic Gevrey Schrödinger Operators with Diophantine Frequency

Published 25 Feb 2021 in math.DS, math-ph, math.MP, and math.SP | (2102.12851v2)

Abstract: We consider the quasi-periodic Schr\"odinger operator with the non-degenerate Gevrey potential for the Diophantine frequency. We prove that if the coupling number of the potential is large, then the spectrum is homogeneous.

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