Abstract
We consider discrete one-dimensional Schrödinger operators with potentials generated by primitive substitutions. A purely singular continuous spectrum with probability one is established provided that the potentials have a local four-block structure.
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Damanik, D. Singular Continuous Spectrum for a Class of Substitution Hamiltonians. Letters in Mathematical Physics 46, 303–311 (1998). https://doi.org/10.1023/A:1007510721504
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DOI: https://doi.org/10.1023/A:1007510721504