Schrödinger operators generated by locally constant functions on the Fibonacci subshift. (English) Zbl 1467.35117
Summary: We investigate the spectral properties of discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the elements of the Fibonacci subshift with a locally constant function. The fundamental trace map formalism for this model is presented and related to its spectral features via an extension of a multitude of works on the classical model, where the sampling function only depends on a single entry of the sequence.
MSC:
| 35J10 | Schrödinger operator, Schrödinger equation |
| 35P05 | General topics in linear spectral theory for PDEs |
References:
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