TL;DR
This paper introduces a mixed quantization method for graph vector bundles and applies it to various spectral problems, providing new insights into their asymptotic behaviors.
Contribution
The paper develops a novel mixed quantization technique and demonstrates its application to multiple important spectral problems in graph theory.
Findings
Provides a new approach to analyze spectral properties of graph bundles
Derives results related to the Alon-Boppana bound and Kesten-McKay law
Advances understanding of quantum ergodicity and Ramanujan graphs
Abstract
In this paper, we develop a mixed quantization technique for graph vector bundles and apply it to several asymptotic spectral problems, including the Alon-Boppana bound, the Kesten-McKay law, quantum ergodicity, zero divisor convergence, and Ramanujan vector bundles.
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