Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles

L. А. Pastur, Mariya Shcherbina

Type: Article

Publication Date: 1997-01-01

Citations: 196

DOI: https://doi.org/10.1007/bf02180200

View Publication

Download PDF

Locations

Journal of Statistical Physics - View
University of Minnesota Digital Conservancy (University of Minnesota) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Universality of Wigner random matrices: a survey of recent results	2011	László Erdős
+	Random matrices: Universality of local eigenvalue statistics	2009	Terence Tao Van Vu
+ PDF Chat	Universality of local spectral statistics of random matrices	2012	László Erdős Horng‐Tzer Yau
+ PDF Chat	Random matrices: Universality of ESDs and the circular law	2010	Terence Tao Van Vu Manjunath Krishnapur
+ PDF Chat	Random matrices: Universality of local eigenvalue statistics	2011	Terence Tao Van Vu
+	On the semicircular law of large dimensional random quaternion matrices	2013	Yanqing Yin Zhidong Bai Jiang Hu
+ PDF Chat	Edge Universality for Orthogonal Ensembles of Random Matrices	2009	Mariya Shcherbina
+	Local laws for non-Hermitian random matrices	2017	Friedrich Götze Alexey Naumov А. Н. Тихомиров
+	Average density of states for Hermitian Wigner matrices	2011	Anna Maltsev Benjamin Schlein
+	Local spectral universality for random matrices with independent entries	2015	Torben Krüger
+	On the edge universality of the local eigenvalue statistics of matrix models	2003	L. А. Pastur Mariya Shcherbina
+	Local law for eigenvalues of random Hermitian matrices with external source	2013	Linh V. Tran
+	Local law for eigenvalues of random Hermitian matrices with external source	2013	Linh M. Tran
+	Universality of local spectral statistics of random matrices	2011	László Erdős Horng‐Tzer Yau
+	Universality of local spectral statistics of random matrices	2011	László Erdős Horng‐Tzer Yau
+	Random matrices: Universality of local spectral statistics of non-Hermitian matrices	2015	Terence Tao Van Vu
+ PDF Chat	Non-Hermitian spectral universality at critical points	2024	Giorgio Cipolloni László Erdős Hong Chang Ji
+ PDF Chat	Universality of Correlation Functions of Hermitian Random Matrices in an External Field	1998	Paul Zinn-Justin
+ PDF Chat	Universality of Correlation Functions of Hermitian Random Matrices in an External Field	1999	Paul Zinn-Justin
+	Random matrices: Universality of ESDs and the circular law	2008	Terence Tao Van Vu Manjunath Krishnapur

Works That Cite This (194)

Action	Title	Year	Authors
+ PDF Chat	On the Largest Eigenvalue of a Random Subgraph of the Hypercube	2003	Alexander Soshnikov Benny Sudakov
+	Families of vector measures which are equilibrium measures in an external field	2015	M A Lapik
+ PDF Chat	Determinantal random point fields	2000	Alexander Soshnikov
+	A Class of the Multi-Interval Eigenvalue Distributions of Matrix Models and Related Structures	2002	V. S. Buslaev L. А. Pastur
+	Fluctuations of eigenvalues of matrix models and their applications	2010	Thomas Kriecherbauer Mariya Shcherbina
+ PDF Chat	Asymptotics of skew orthogonal polynomials	2001	Bertrand Eynard
+	Random matrices: The Four Moment Theorem for Wigner ensembles	2011	Terence Tao Van Vu
+	The birth of a cut in unitary random matrix ensembles	2007	Tom Claeys
+ PDF Chat	Some equivalent formulations of universality limits in the bulk	2010	Eli Levin D. S. Lubinsky
+	Random matrices: Universality of local eigenvalue statistics	2009	Terence Tao Van Vu

Works Cited by This (10)

Action	Title	Year	Authors
+	Orthogonal Polynomials	2011	Ranjan Roy
+	On the statistical mechanics approach in the random matrix theory: Integrated density of states	1995	Anne Boutet de Monvel L. А. Pastur Mariya Shcherbina
+	A Class of Matrix Ensembles	1972	Freeman J. Dyson
+	Higher Order Spacing Distributions for a Class of Unitary Ensembles	1964	David Fox Peter B. Kahn
+	On the universality of the level spacing distribution for some ensembles of random matrices	1992	L. А. Pastur
+ PDF Chat	Fredholm determinants, differential equations and matrix models	1994	Craig A. Tracy Harold Widom
+	Large random matrices: Eigenvalue distribution	1993	Benoît Eynard
+ PDF Chat	Orthogonal Polynomials	1971
+	Strong asymptotics for extremal errors and polynomials associated with Erdös-type weights	1989	D. S. Lubinsky
+ PDF Chat	Universality of Random-Matrix Results for Non-Gaussian Ensembles	1995	Gregor Hackenbroich H. A. Weidenmüller