Spectral Gaps for Jacobi Matrices on Graphs
Spectral Theory
2024-02-13 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2402.07202,
title = {Spectral Gaps for Jacobi Matrices on Graphs},
author = {Jonathan Breuer and Eyal Seelig},
journal= {arXiv preprint arXiv:2402.07202},
year = {2024}
}