34 citations · 57 across the 5 of their papers we have counts for
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Form factor expansion for large graphs: a diagrammatic approach
Gregory Berkolaiko
The form factor of a quantum graph is a function measuring correlations within the spectrum of the graph. It can be expressed as a double sum over the periodic orbits on the graph.…
Form factor for large quantum graphs: evaluating orbits with time-reversal
G. Berkolaiko
It has been shown that for a certain special type of quantum graphs the random-matrix form factor can be recovered to at least third order in the scaled time τusing periodic-orbit…
Form factor for a family of quantum graphs: An expansion to third order
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
For certain types of quantum graphs we show that the random-matrix form factor can be recovered to at least third order in the scaled time from periodic-orbit theory. We consid…
The Leading Off-Diagonal Correction to the Form Factor of Large Graphs
Gregory Berkolaiko, Holger Schanz, Robert S. Whitney
Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, , of a generic quantum graph with mixing classical dynamics and time-reversal sy…