Gaussian fluctuations of the determinant of Wigner matrices
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Publication:2274217
DOI10.1214/19-EJP356zbMath1448.60017arXiv1811.06815OpenAlexW2973441443MaRDI QIDQ2274217
Publication date: 19 September 2019
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.06815
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)
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Maxima of log-correlated fields: some recent developments* ⋮ A CLT for the characteristic polynomial of random Jacobi matrices, and the G\(\beta\)E ⋮ Characteristic polynomials of random truncations: Moments, duality and asymptotics ⋮ Berry-Essén theorem for random determinants ⋮ Rigidity of eigenvalues for \(\beta\) ensemble in multi-cut regime ⋮ Single eigenvalue fluctuations of general Wigner-type matrices ⋮ Exponential growth of random determinants beyond invariance ⋮ Applications of mesoscopic CLTs in random matrix theory ⋮ Bulk eigenvalue fluctuations of sparse random matrices ⋮ Determinants of Seidel matrices and a conjecture of Ghorbani ⋮ Recent progress in combinatorial random matrix theory ⋮ Fluctuations of extreme eigenvalues of sparse Erdős-Rényi graphs ⋮ Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices ⋮ On the permanent of a random symmetric matrix ⋮ On Cramér-von Mises statistic for the spectral distribution of random matrices ⋮ Optimal local law and central limit theorem for \(\beta\)-ensembles
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