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Construction of finite differentiable quasi-periodic Schrödinger operators with cantor spectrum

Published 9 Aug 2023 in math.SP and math.DS | (2308.04685v1)

Abstract: In this paper, we present an approach for explicitly constructing quasi-periodic Schr\"odinger operators with Cantor spectrum with $Ck$ potential. Additionally, we provide polynomial asymptotics on the size of spectral gaps.

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