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20 January 2025

» arxiv » 2309.00437

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A Useful Formula for Periodic Jacobi Matrices on Trees
Jess Banks ; Jonathan Breuer ; Jorge Garza Vargas ; Eyal Seelig ; Barry Simon ;
Date:	1 Sep 2023
Abstract:	We introduce a function of the density of states for periodic Jacobi matrices on trees and prove a useful formula for it. This allows new, streamlined proofs of the gap labeling and Aomoto index theorems. We prove a version of this new formula for the Anderson model on trees.
Source:	arXiv, 2309.00437
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