Regularity conditions in the CLT for linear eigenvalue statistics of Wigner matrices

Philippe Sosoe, Percy Wong

Type: Article

Publication Date: 2013-10-02

Citations: 52

DOI: https://doi.org/10.1016/j.aim.2013.09.004

View Publication

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Quantitative CLT for linear eigenvalue statistics of Wigner matrices	2021	Zhigang Bao Yukun He
+ PDF Chat	Quantitative CLT for linear eigenvalue statistics of Wigner matrices	2023	Zhigang Bao Yukun He
+	Almost-optimal bulk regularity conditions in the CLT for Wigner matrices	2022	Benjamin Landon Philippe Sosoe
+	A Note on the Central Limit Theorem for the Eigenvalue Counting Function of Wigner Matrices	2011	Sandrine Dallaporta Van Vu
+	On the regularity conditions in the CLT for the LUE	2023	Henry Hu
+ PDF Chat	Edge Fluctuations of Eigenvalues of Wigner Matrices	2013	Hanna Döring Peter Eichelsbacher
+ PDF Chat	A note on the Central Limit Theorem for the Eigenvalue Counting Function of Wigner Matrices	2011	Sandrine Dallaporta Van Vu
+	CLT for Linear Spectral Statistics of Hermitian Wigner Matrices with General Moment Conditions	2016	Zhigang Bao Junshan Xie
+	Regularity Conditions for Convergence of Linear Statistics of Wigner Random Matrices	2015	Phil Kopel
+	Edge fluctuations of eigenvalues of Wigner matrices	2012	Hanna Döring Peter Eichelsbacher
+ PDF Chat	A CLT for linear spectral statistics of large random information-plus-noise matrices	2019	Marwa Banna Jamal Najım Jianfeng Yao
+	Moderate deviations for the eigenvalue counting function of Wigner matrices	2011	Hanna Doering Peter Eichelsbacher
+ PDF Chat	Universality of covariance matrices	2014	Natesh S. Pillai Jun Yin
+	Eigenvalue variance bounds for Wigner and covariance random matrices	2012	Sandrine Dallaporta
+	A Note on the Central Limit Theorem for the Eigenvalue Counting Function of Wigner and Covariance matrices	2010	Sandrine Dallaporta
+ PDF Chat	Central Limit Theorem for Linear Eigenvalue Statistics for Submatrices of Wigner Random Matrices	2020	Lingyun Li Matthew Reed Alexander Soshnikov
+	Central Limit Theorem for Linear Eigenvalue Statistics for Submatrices of Wigner Random Matrices	2015	Lingyun Li Matthew Reed Alexander Soshnikov
+	Eigenvalue variance bounds for Wigner and covariance random matrices	2012	Sandrine Dallaporta
+	Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices	2011	Mariya Shcherbina
+	Asymptotic Behaviour of Linear eigenvalue statistics of Hankel matrices	2021	Kiran Kumar A. S. Shambhu Nath Maurya

Works That Cite This (53)

Action	Title	Year	Authors
+	A random walk approach to linear statistics in random tournament ensembles	2018	Christopher Joyner Uzy Smilansky
+	Fluctuations of functions of Wigner matrices	2016	László Erdős Dominik Schröder
+	Fluctuations of the Stieltjes transform of the empirical spectral distribution of selfadjoint polynomials in Wigner and deterministic diagonal matrices	2021	Serban Belinschi Mireille Capitaine Sandrine Dallaporta Maxime Février
+	Multi-point functional central limit theorem for Wigner matrices	2024	Jana Reker
+ PDF Chat	Central Limit Theorem for Linear Eigenvalue Statistics of Elliptic Random Matrices	2015	Sean O’Rourke David Renfrew
+	Linear Statistics of Non-Hermitian Matrices Matching the Real or Complex Ginibre Ensemble to Four Moments	2015	Phil Kopel
+	Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices	2019	Yiting Li Kevin Schnelli Yuanyuan Xu
+	Regularity Conditions for Convergence of Linear Statistics of GUE	2015	Phil Kopel
+	The Common Limit of the Linear Statistics of Zeros of Random Polynomials and Their Derivatives	2017	I-Shing Hu Chih-Chung Chang
+	Quantitative CLT for linear eigenvalue statistics of Wigner matrices	2021	Zhigang Bao Yukun He

Works Cited by This (34)

Action	Title	Year	Authors
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Central Limit Theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices	2011	Mariya Shcherbina
+ PDF Chat	A Wegner estimate for Wigner matrices	2011	Anna Maltsev Benjamin Schlein
+	Fourier Analysis and Nonlinear Partial Differential Equations	2011	Hajer Bahouri Jean-Yves Chemin Raphaël Danchin
+ PDF Chat	Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices	2001	Kurt Johansson
+ PDF Chat	A CLT for a band matrix model	2005	Greg W. Anderson Ofer Zeitouni
+	Central limit theorem for traces of large random symmetric matrices with independent matrix elements	1998	Ya. G. Sinaĭ Alexander Soshnikov
+	Theorems on Fourier Series and Power Series (II)<sup>†</sup>	1937	J. E. Littlewood R. E. A. C. Paley
+ PDF Chat	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	Theorems on Fourier Series and Power Series	1931	J. E. Littlewood R. E. A. C. Paley