SPECTRAL GAPS FOR JACOBI MATRICES ON GRAPHS

Jonathan Breuer; Eyal Seelig

SPECTRAL GAPS FOR JACOBI MATRICES ON GRAPHS

Jonathan Breuer
, Eyal Seelig

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	535-550
Number of pages	16
Journal	Pure and Applied Functional Analysis
Volume	10
Issue number	3
State	Published - 2025

Bibliographical note

Publisher Copyright:
© 2025, Yokohama Publications. All rights reserved.

Keywords

Alon-Boppana
Eigenvalues
Graphs
Periodic

Cite this

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title = "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.",

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KW - Eigenvalues

KW - Graphs

KW - Periodic

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SN - 2189-3756

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JO - Pure and Applied Functional Analysis

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IS - 3

ER -

SPECTRAL GAPS FOR JACOBI MATRICES ON GRAPHS

Abstract

Bibliographical note

Keywords

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