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A review of a work by Raymond: Sturmian Hamiltonians with a large coupling constant -- periodic approximations and gap labels
Ram Band, Siegfried Beckus, Barak Biber +2
We present a review of the work L. Raymond from 1995. The review aims at making this work more accessible and offers adaptations of some statements and proofs. In addition, this re…
Spectral approximation for substitution systems
Ram Band, Siegfried Beckus, Felix Pogorzelski +1
We study periodic approximations of aperiodic Schrödinger operators on lattices in Lie groups with dilation structure. The potentials arise through symbolic substitution systems th…
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…