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arXiv · 2408.01637

On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime

Alexandro Luna
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Abstract

We prove that the Hausdorff dimension of the spectrum of a discrete Schrödinger operator with Sturmian potential of bounded type tends to one as coupling tends to zero. The proof is based on the trace map formalism.

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Alexandro Luna. 2025-05-20. On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime. https://arxiv.org/abs/2408.01637

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