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20202026
most citedDifferences between Robin and Neumann eigenvalues on metric graphs

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math.SP2026

Zero measure Cantor spectrum for aperiodic metric tiling graphs

Ram Band, Gilad Sofer

We study a family of aperiodic metric graphs generated by one-dimensional tilings. We prove that, generically, the spectrum of the associated Kirchhoff Laplacian has Lebesgue measu…

math.SP2026

Johnson-Schwartzman Gap Labelling for Metric and Discrete Decorated Graphs

Ram Band, Gilad Sofer

We study Schrödinger operators on metric and discrete decorated graphs. The values taken by the integrated density of states (IDS) on spectral gaps are called gap labels. A natural…