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arXiv · 2402.07202

Spectral Gaps for Jacobi Matrices on Graphs

Jonathan Breuer·Eyal Seelig
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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.

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Jonathan Breuer, Eyal Seelig. 2024-02-11. Spectral Gaps for Jacobi Matrices on Graphs. https://arxiv.org/abs/2402.07202

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