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Quantum ergodicity for quantum graphs without back-scattering

We give an estimate of the quantum variance for d-regular graphs quantised with boundary scattering matrices that prohibit back-scattering. For families of graphs that are expanders, with few short cycles, our estimate leads to quantum ergodicity for these families of graphs. Our proof is based on a...

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Bibliographic Details
Main Authors: Matthew Brammall, Brian Winn
Format: Default Article
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/2134/18694
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