Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit

We introduce the notion of Benjamini-Schramm convergence for quantum graphs. This notion of convergence, intended to play the role of the already existing notion for discrete graphs, means that the restriction of the quantum graph to a randomly chosen ball has a limiting distribution. We prove that...

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Bibliographic Details
Main Authors: Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri, Brian Winn
Format: Default Article
Published: 2021
Subjects:
General Mathematics
Pure Mathematics
Online Access:https://hdl.handle.net/2134/14387891.v1
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