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math-ph2002
Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations
Yan V. Fyodorov, Jonathan P. Keating
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…
math-ph2002
Universal Results for Correlations of Characteristic Polynomials: Riemann-Hilbert Approach
Eugene Strahov, Yan V. Fyodorov
We prove that general correlation functions of both ratios and products of characteristic polynomials of Hermitian random matrices are governed by integrable kernels of three diffe…