Gaussian fluctuations of the determinant of Wigner Matrices.

Paul Bourgade, Krishnan Mody

Type: Preprint

Publication Date: 2018-11-16

Citations: 5

Locations

arXiv (Cornell University) - View

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+	Applications of mesoscopic CLTs in random matrix theory	2018	Benjamin Landon Philippe Sosoe
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Works Cited by This (45)

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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
+	A Refinement of the Central Limit Theorem for Random Determinants	1998	Vyacheslav L. Girko
+ PDF Chat	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	Asymptotics for products of independent sums with an application to Wishart determinants	2005	Grzegorz A. Rempała Jacek Wesołowski
+ PDF Chat	Central limit theorem for linear eigenvalue statistics of random matrices with independent entries	2009	Anna Lytova L. А. Pastur
+	On the singularity probability of discrete random matrices	2009	Jean Bourgain Van H. Vu Philip Matchett Wood
+	On the singularity probability of random Bernoulli matrices	2007	Terence Tao Van Vu
+	Law of log determinant of sample covariance matrix and optimal estimation of differential entropy for high-dimensional Gaussian distributions	2015	Tommaso Cai Tengyuan Liang Harrison H. Zhou
+ PDF Chat	The Distribution of the Determinant of a Complex Wishart Distributed Matrix	1963	N. R. Goodman
+ PDF Chat	Universality of random matrices and local relaxation flow	2010	László Erdős Benjamin Schlein Horng‐Tzer Yau