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math-ph2024
Spectral regularity and defects for the Kohmoto model
Siegfried Beckus, Jean Bellissard, Yannik Thomas
We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimates for the operators using Farey numbers. In addition, we…
math-ph2013★ 7 cited
Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals
Siegfried Beckus, Felix Pogorzelski
We study one-dimensional random Jacobi operators corresponding to strictly ergodic dynamical systems. In this context, we characterize the spectrum of these operators by non-unifor…