On Spectra of Metric Tree Graphs
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912141916766208 |
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| author | Chamberlain, Tyler |
| author_facet | Chamberlain, Tyler |
| contents | The secular manifold $Σ_G$ and its singularities are intimately related to the spectra of metric graphs $(G,\ell)$. In this paper, we present a complete description of the singular locus for tree graphs, and confirm that it agrees with a conjecture of Colin de Verdière. We also discuss numerous applications toward studying the behavior of metric tree graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02200 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Spectra of Metric Tree Graphs Chamberlain, Tyler Spectral Theory The secular manifold $Σ_G$ and its singularities are intimately related to the spectra of metric graphs $(G,\ell)$. In this paper, we present a complete description of the singular locus for tree graphs, and confirm that it agrees with a conjecture of Colin de Verdière. We also discuss numerous applications toward studying the behavior of metric tree graphs. |
| title | On Spectra of Metric Tree Graphs |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2412.02200 |