Spectral Gaps for Jacobi Matrices on Graphs
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917587397378048 |
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| author | Breuer, Jonathan Seelig, Eyal |
| author_facet | Breuer, Jonathan Seelig, Eyal |
| contents | We study bounds on eigenvalue gaps for finite quotients of periodic Jacobi matrices on trees. We prove an Alon-Boppana type bound for the spectral gap and a comparison result for other eigenvalue gaps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07202 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral Gaps for Jacobi Matrices on Graphs Breuer, Jonathan Seelig, Eyal Spectral Theory Combinatorics We study bounds on eigenvalue gaps for finite quotients of periodic Jacobi matrices on trees. We prove an Alon-Boppana type bound for the spectral gap and a comparison result for other eigenvalue gaps. |
| title | Spectral Gaps for Jacobi Matrices on Graphs |
| topic | Spectral Theory Combinatorics |
| url | https://arxiv.org/abs/2402.07202 |