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Maximal scarring for eigenfunctions of quantum graphs

We prove the existence of scarred eigenstates for star graphs with scattering matrices at the central vertex which are either a Fourier transform matrix, or a matrix that prohibits back-scattering. We prove the existence of scars that are half-delocalised on a single bond. Moreover we show that the...

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Bibliographic Details
Main Authors:	G. Berkolaiko, Brian Winn
Format:	Default Article
Published:	2018
Subjects:	Other mathematical sciences not elsewhere classified untagged Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/34066
Tags:	Add Tag No Tags, Be the first to tag this record!

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