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Multidimensional Almost-Periodic Schrödinger Operators with Cantor Spectrum (1809.02720v1)
Published 8 Sep 2018 in math.SP, math-ph, and math.MP
Abstract: We construct multidimensional almost-periodic Schr\"odinger operators whose spectrum has zero lower box counting dimension. In particular, the spectrum in these cases is a generalized Cantor set of zero Lebesgue measure.
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