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math-ph2026
Complete hierarchical structure of the spectral bands in the Kohmoto model
Ram Band, Siegfried Beckus, Raphael Loewy
We study the Kohmoto model, a family of discrete Schrödinger operators with Sturmian potentials depending on a frequency and a coupling constant. We prove that, for all non-vanishi…
math.SP2026
Spectral pollution in substitution systems
Ram Band, Siegfried Beckus, Felix Pogorzelski +1
We study spectral properties of Schrödinger operators associated with substitution dynamical systems in higher dimensions. Focusing on periodic approximations generated by iteratin…