Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator


Positive Hausdorff Dimensional Spectrum for the Critical Almost Mathieu Operator is a scholarly work, published in 2018 in ''Communications in Mathematical Physics''. The main subjects of the publication include Lie algebra, spectral theory, and complex analysis. The authors show that there exists a dense set of frequencies with positive Hausdorff\ndimension for which the Hausdorff dimension of the spectrum of the critical\nalmost Mathieu operator is positive.\n.