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math-ph2025
From Quasiperiodicity to a Complete Coloring of the Kohmoto Butterfly
Ram Band, Siegfried Beckus
The spectra of the Kohmoto model give rise to a fractal phase diagram, known as the Kohmoto butterfly. The butterfly encapsulates the spectra of all periodic Kohmoto Hamiltonians,…
math-ph2024★ 1 cited
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…