Three-point correlations for quantum star graphs
arXiv:0706.3142 · doi:10.1088/1751-8113/40/45/004
Abstract
We compute the three point correlation function for the eigenvalues of the Laplacian on quantum star graphs in the limit where the number of edges tends to infinity. This extends a work by Berkolaiko and Keating, where they get the 2-point correlation function and show that it follows neither Poisson, nor random matrix statistics. It makes use of the trace formula and combinatorial analysis.
10 pages, 2 figures
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