Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization

We consider a sequence of finite quantum graphs with few loops, so that they converge, in the sense of Benjamini-Schramm, to a random infinite quantum tree. We assume these quantum trees are spectrally delocalized in some interval I, in the sense that their spectrum in I is purely absolutely continu...

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Bibliographic Details
Main Authors: Nalini Anantharaman, Maxime Ingremeau, Mostafa Sabri, Brian Winn
Format: Default Article
Published: 2021
Online Access:https://hdl.handle.net/2134/14152220.v1
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