On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910954235625472 |
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| author | Luna, Alexandro |
| author_facet | Luna, Alexandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_01637 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime Luna, Alexandro Spectral Theory Dynamical Systems 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. |
| title | On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime |
| topic | Spectral Theory Dynamical Systems |
| url | https://arxiv.org/abs/2408.01637 |