Abstract
We calculate the negative integer moments of the (regularized) characteristic polynomials of N x N random matrices taken from the Gaussian orthogonal ensemble (GOE) in the limit as N --> infinity. The results agree nontrivially with a recent conjecture of Berry and 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.
Translated title of the contribution | Negative moments of characteristic polynomials of GOE matrices and singularity-dominated strong fluctuations |
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Original language | English |
Pages (from-to) | 4035 - 4046 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 36 (14) |
Publication status | Published - 11 Apr 2003 |
Bibliographical note
Publisher: IOP Publishing LtdOther identifier: IDS number 674GG