A CLT for the characteristic polynomial of random Jacobi matrices, and the G$$\beta $$E

Fanny Augeri, Raphaël Butez, Ofer Zeitouni

Type: Article

Publication Date: 2023-03-13

Citations: 4

DOI: https://doi.org/10.1007/s00440-023-01194-9

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Probability Theory and Related Fields - View
arXiv (Cornell University) - View - PDF
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+ PDF Chat	The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase	2015	Christian Webb
+ PDF Chat	Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta Function	2012	Yan V. Fyodorov Ghaith A. Hiary Jonathan P. Keating
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+ PDF Chat	The Distribution of the Determinant of a Complex Wishart Distributed Matrix	1963	N. R. Goodman
+ PDF Chat	Eigenvalue distributions of random unitary matrices	2002	Kelly Wieand
+ PDF Chat	Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant	2007	Igor Krasovsky
+ PDF Chat	Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models	2006	Ioana Dumitriu Alan Edelman
+	Random matrices: Law of the determinant	2014	Hoi H. Nguyen Van Vu
+	Distribution of the determinant of a random real-symmetric matrix from the Gaussian orthogonal ensemble	2000	Renaud Delannay G. Le Caër