Spectral Gaps for Jacobi Matrices on Graphs
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2024
- DOI:
- 10.48550/arXiv.2402.07202
- arXiv:
- arXiv:2402.07202
- Bibcode:
- 2024arXiv240207202B
- Keywords:
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- Mathematics - Spectral Theory;
- Mathematics - Combinatorics