35 citations · 142 across the 6 of their papers we have counts for
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math-ph2003★ 35 cited
No quantum ergodicity for star graphs
G. Berkolaiko, J. P. Keating, B. Winn
We investigate statistical properties of the eigenfunctions of the Schrodinger operator on families of star graphs with incommensurate bond lengths. We show that these eigenfunctio…
nlin.CD2003★ 33 cited
Intermediate wave-function statistics
G. Berkolaiko, J. P. Keating, B. Winn
We calculate statistical properties of the eigenfunctions of two quantum systems that exhibit intermediate spectral statistics: star graphs and Seba billiards. First, we show that…