Abstract
We study the almost Mathieu operator at critical coupling. We prove that there exists a dense \({G_\delta}\) set of frequencies for which the spectrum is of zero Hausdorff dimension.
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Last, Y., Shamis, M. Zero Hausdorff Dimension Spectrum for the Almost Mathieu Operator. Commun. Math. Phys. 348, 729–750 (2016). https://doi.org/10.1007/s00220-016-2620-0
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DOI: https://doi.org/10.1007/s00220-016-2620-0