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Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies
Published 5 Aug 2017 in math.SP | (1708.01760v3)
Abstract: We prove that the size of the spectral gaps of weakly coupled quasi-periodic Schr\"odinger operators with Liouville frequencies decays exponentially. As an application, we obtain the homogeneity of the spectrum.
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