Quantum ergodicity for large equilateral quantum graphs

Consider a sequence of finite regular graphs converging, in the sense of Benjamini-Schramm, to the infinite regular tree. We study the induced quantum graphs with equilateral edge lengths, Kirchhoff conditions (possibly with a non-zero coupling constant α) and a symmetric potential U on the edges. W...

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Bibliographic Details
Main Authors: Maxime Ingremeau, Mostafa Sabri, Brian Winn
Format: Default Article
Published: 2019
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Online Access:https://hdl.handle.net/2134/38089
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