A Useful Formula for Periodic Jacobi Matrices on Trees

Jess Banks,Jonathan Breuer,Jorge Garza Vargas,Eyal Seelig,Barry Simon

arXiv (Cornell University)（2023）

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摘要

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.

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关键词

periodic jacobi matrices,useful formula

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