On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156346We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existing result for a random matrix from the Gaussian Orthogonal Ensemble essentially continues to hold for a general real symmetric Wigner matrix.14 pagesProbability60B99; 15A52On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrixtext