Measure of the spectra of periodic graph operators in the large-coupling limit
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917055087771648 |
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| author | Fillman, Jake |
| author_facet | Fillman, Jake |
| contents | We derive a sharp criterion on the spectra of periodic discrete Schrödinger operators acting on connected periodic lattices: the measure of the spectrum goes to zero as the coupling constant goes to infinity if and only if there is no infinite connected path of degeneracies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Measure of the spectra of periodic graph operators in the large-coupling limit Fillman, Jake Spectral Theory 35J10 We derive a sharp criterion on the spectra of periodic discrete Schrödinger operators acting on connected periodic lattices: the measure of the spectrum goes to zero as the coupling constant goes to infinity if and only if there is no infinite connected path of degeneracies. |
| title | Measure of the spectra of periodic graph operators in the large-coupling limit |
| topic | Spectral Theory 35J10 |
| url | https://arxiv.org/abs/2511.00757 |