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math.SP2023
A Useful Formula for Periodic Jacobi Matrices on Trees
Jess Banks, Jonathan Breuer, Jorge Garza Vargas +2
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 an…
math.SP2020
Point Spectrum of Periodic Operators on Universal Covering Trees
Jess Banks, Jorge Garza-Vargas, Satyaki Mukherjee
For any multi-graph with edge weights and vertex potential, and its universal covering tree , we completely characterize the point spectrum of operators $A_{\mathc…