Three-point correlations for quantum star graphs

Details Three-point correlations for quantum star graphs Three-point correlations for quantum star graphs

2007-06-21

arxiv.org/abs/0706.3142v2

J. Phys. A: Math. Theor. 40 (2007) 13535-13544.

Physics

Mathematical Physics

10 pages, 2 figures

Scientific paper

10.1088/1751-8113/40/45/004

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.

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