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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.18691 |
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| _version_ | 1866908860703309824 |
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| author | Fillman, Jake Gradner, Michala N. Hendricks, Hannah J. |
| author_facet | Fillman, Jake Gradner, Michala N. Hendricks, Hannah J. |
| contents | We establish a new and simple criterion that suffices to generate many spectral gaps for periodic word models. This leads to new examples of ergodic Schrödinger operators with Cantor spectra having zero Hausdorff dimension that simultaneously may have arbitrarily small supremum norm together with arbitrarily long runs on which the potential vanishes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thin Spectra for Periodic and Ergodic Word Models Fillman, Jake Gradner, Michala N. Hendricks, Hannah J. Spectral Theory 47B36 We establish a new and simple criterion that suffices to generate many spectral gaps for periodic word models. This leads to new examples of ergodic Schrödinger operators with Cantor spectra having zero Hausdorff dimension that simultaneously may have arbitrarily small supremum norm together with arbitrarily long runs on which the potential vanishes. |
| title | Thin Spectra for Periodic and Ergodic Word Models |
| topic | Spectral Theory 47B36 |
| url | https://arxiv.org/abs/2503.18691 |