0 21 20 50 v 1 1 7 D ec 2 00 2 Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations

@inproceedings{Fyodorov2002022,
  title={0 21 20 50 v 1 1 7 D ec 2 00 2 Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations},
  author={Yan V. Fyodorov and Jonathan P. Keating},
  year={2002}
}
We calculate the negative integer moments of the (regularized) characteristic polynomials of N × N random matrices taken from the Gaussian Orthogonal Ensemble (GOE) in the limit as N → ∞. The results agree nontrivially with a recent conjecture of Berry & Keating motivated by techniques developed in the theory of singularity-dominated strong fluctuations. This is the first example where nontrivial predictions obtained using these techniques have been proved.