Bulk universality for deformed Wigner matrices

Ji Oon Lee, Kevin Schnelli, Ben Stetler, Horng‐Tzer Yau

Type: Article

Publication Date: 2016-05-01

Citations: 63

DOI: https://doi.org/10.1214/15-aop1023

View Publication

Locations

The Annals of Probability - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
Digital Access to Scholarship at Harvard (DASH) (Harvard University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Edge universality for deformed Wigner matrices	2015	Ji Oon Lee Kevin Schnelli
+	Local deformed semicircle law and complete delocalization for Wigner matrices with random potential	2013	Ji Oon Lee Kevin Schnelli
+ PDF Chat	Local deformed semicircle law and complete delocalization for Wigner matrices with random potential	2013	Ji Oon Lee Kevin Schnelli
+	Local deformed semicircle law and complete delocalization for Wigner matrices with random potential	2013	Ji Oon Lee Kevin Schnelli
+	Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices	2013	Ji Oon Lee Kevin Schnelli
+	Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices	2013	Ji Oon Lee Kevin Schnelli
+	Bulk Universality for Wigner Matrices	2009	László Erdős Sandrine Péché José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	Extremal eigenvalues and eigenvectors of deformed Wigner matrices	2015	Ji Oon Lee Kevin Schnelli
+	Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices	2019	Yiting Li Kevin Schnelli Yuanyuan Xu
+	Central limit theorem for linear spectral statistics of deformed Wigner matrices	2017	Hong Chang Ji Ji Oon Lee
+	Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices	2017	Hong Chang Ji Ji Oon Lee
+	Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices	2017	Hong Chang Ji Ji Oon Lee
+ PDF Chat	Bulk universality for Wigner matrices	2010	László Erdős Sandrine Péché José A. Ramı́rez Benjamin Schlein Horng‐Tzer Yau
+	Quenched universality for deformed Wigner matrices	2021	Giorgio Cipolloni László Erdős Dominik Schröder
+ PDF Chat	Quenched universality for deformed Wigner matrices	2022	Giorgio Cipolloni László Erdős Dominik Schröder
+ PDF Chat	Bulk universality for generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble	2008	Tatyana Shcherbina
+	On Universality of Bulk Local Regime of the Deformed Gaussian Unitary Ensemble	2008	Tatyana Shcherbina
+	Bulk universality for generalized Wigner matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin
+	Fluctuations of deformed Wigner random matrices	2012	Zhonggen Su

Works That Cite This (63)

Action	Title	Year	Authors
+ PDF Chat	Fixed energy universality of Dyson Brownian motion	2019	Benjamin Landon Philippe Sosoe Horng‐Tzer Yau
+	Edge Universality for non-Hermitian Random Matrices	2019	Giorgio Cipolloni László Erdős Dominik Schröder
+	Anisotropic local laws for random matrices	2014	Antti Knowles Jun Yin
+	Central limit theorem for mesoscopic eigenvalue statistics of deformed Wigner matrices and sample covariance matrices	2019	Yiting Li Kevin Schnelli Yuanyuan Xu
+	Edge statistics of Dyson Brownian motion	2017	Benjamin Landon Horng‐Tzer Yau
+	Isotropic self-consistent equations for mean-field random matrices	2016	Yukun He Antti Knowles Ron Rosenthal
+	Local spectral statistics of the addition of random matrices	2017	Ziliang Che Benjamin Landon
+	Universality of random matrices with correlated entries	2016	Ziliang Che
+ PDF Chat	Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices	2020	Lucas Benigni
+	Universality of Random Matrices With Dependent Entries	2018	Ziliang Che

Works Cited by This (73)

Action	Title	Year	Authors
+	Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups	1992	Dan-Virgil Voiculescu Kenneth J. Dykema Alexandru Nica
+ PDF Chat	The Eigenvector Moment Flow and Local Quantum Unique Ergodicity	2016	Paul Bourgade H. T. Yau
+	Fluctuations of eigenvalues of matrix models and their applications	2010	Thomas Kriecherbauer Mariya Shcherbina
+	A new approach to subordination results in free probability	2007	Serban T. Belinschi Hari Bercovici
+ PDF Chat	The local semicircle law for a general class of random matrices	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+ PDF Chat	Rigidity of eigenvalues of generalized Wigner matrices	2011	László Erdős Horng‐Tzer Yau Jun Yin
+	Generic behavior of the density of states in random matrix theory and equilibrium problems in the presence of real analytic external fields	2000	Arno B. J. Kuijlaars K. T-R McLaughlin
+	A Brownian-Motion Model for the Eigenvalues of a Random Matrix	1962	Freeman J. Dyson
+ PDF Chat	Semiclassical Asymptotics of Orthogonal Polynomials, Riemann-Hilbert Problem, and Universality in the Matrix Model	1999	Pavel Bleher Alexander Its
+ PDF Chat	Wigner Random Matrices with Non-Symmetrically Distributed Entries	2007	Sandrine Péché Alexander Soshnikov