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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年5月19日

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  • Alexandro Luna

摘要

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.