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.

中文翻译：

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Fibonacci子移位上由局部常数函数生成的Schrödinger算子

我们研究了离散一维Schrödinger算子的频谱特性，这些算子的电势是通过沿着Fibonacci子位移的元素进行采样而产生的，该函数具有局部常数。通过对经典模型的大量工作的扩展，提出了该模型的基本迹线图形式主义，并将其与其光谱特征相关联，其中采样函数仅取决于序列的单个条目。