1 citations · 1 across the 3 of their papers we have counts for
3 papers
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-ph2024★ 1 cited
The Dry Ten Martini Problem for Sturmian Hamiltonians
Ram Band, Siegfried Beckus, Raphael Loewy
The dry ten Martini problem for Sturmian Hamiltonians is solved. Concretely, we prove that all the predicted spectral gaps "are there" for all the Schrödinger operators with Sturmi…
math-ph2023
MFO Report: The dry ten Martini problem for Sturmian dynamical systems
Ram Band, Siegfried Beckus, Raphael Loewy
This extended Oberwolfach report (to appear in the proceedings of the MFO Workshop 2335: Aspects of Aperiodic Order) announces the full solution to the Dry Ten Martini Problem for…