Multidimensional Almost-Periodic Schr\"odinger Operators with Cantor Spectrum
classification
🧮 math.SP
math-phmath.MP
keywords
spectrumalmost-periodiccantormultidimensionalodingeroperatorsschrzero
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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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