The local relaxation flow approach to universality of the local statistics for random matrices

László Erdős, Benjamin Schlein, Horng‐Tzer Yau, Jun Yin

Type: Preprint

Publication Date: 2009-01-01

Citations: 30

DOI: https://doi.org/10.48550/arxiv.0911.3687

View Publication

Locations

arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
Digital Access to Scholarship at Harvard (DASH) (Harvard University) - View - PDF
French digital mathematics library (Numdam) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The local relaxation flow approach to universality of the local statistics for random matrices	2012	László Erdős Benjamin Schlein Horng‐Tzer Yau Jun Yin
+	Local laws of random matrices and their applications	2019	Fan Yang
+	Universality of Random Matrices and Local Relaxation Flow	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Universality of Random Matrices and Local Relaxation Flow	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+ PDF Chat	UNIVERSALITY OF WIGNER RANDOM MATRICES	2010	László Erdős
+ PDF Chat	Universality of Wigner random matrices: a survey of recent results	2011	László Erdős
+ PDF Chat	Universality of local spectral statistics of random matrices	2012	László Erdős Horng‐Tzer Yau
+ PDF Chat	Random matrices: Universality of local eigenvalue statistics	2011	Terence Tao Van Vu
+	Random matrices: Universality of local eigenvalue statistics	2009	Terence Tao Van Vu
+	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 covariance matrices: Universality of local statistics of eigenvalues	2012	Terence Tao Van Vu
+ PDF Chat	Local Eigenvalue Density for General MANOVA Matrices	2013	László Erdős Brendan Farrell
+	Local law and mesoscopic linear statistics of random matrices	2018	Yukun He
+	Random covariance matrices: Universality of local statistics of eigenvalues up to the edge	2011	Ke Wang
+	Universality of random matrices with correlated entries	2017	Ziliang Che
+	Random matrices: Universality of local spectral statistics of non-Hermitian matrices	2015	Terence Tao Van Vu
+	Universality of random matrices with correlated entries	2016	Ziliang Che
+	Universality of generalized Wigner matrices	2012	Horng‐Tzer Yau
+ PDF Chat	Local Spectral Statistics of Gaussian Matrices with Correlated Entries	2016	Oskari Ajanki László Erdős Torben Krüger

Works That Cite This (30)

Action	Title	Year	Authors
+	Spectral statistics of Erdős–Rényi graphs I: Local semicircle law	2013	László Erdős Antti Knowles Horng‐Tzer Yau Jun Yin
+	Random matrices: The Four Moment Theorem for Wigner ensembles	2011	Terence Tao Van Vu
+	The Isotropic Semicircle Law and Deformation of Wigner Matrices	2011	Antti Knowles Jun Yin
+	Bulk universality for generalized Wigner matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin
+	Universality of Random Matrices and Local Relaxation Flow	2009	László Erdős Benjamin Schlein Horng‐Tzer Yau
+	Rigidity of Eigenvalues of Generalized Wigner Matrices	2010	László Erdős Horng‐Tzer Yau Jun Yin
+	Random matrices: Sharp concentration of eigenvalues	2012	Terence Tao Van Vu
+	Average Density of States for Hermitian Wigner Matrices	2010	Anna Maltsev Benjamin Schlein
+	Nonintersecting paths with a staircase initial condition	2011	Jonathan Breuer Maurice Duits
+	Gap Universality of Generalized Wigner and beta-Ensembles	2012	László Erdős Horng‐Tzer Yau

Works Cited by This (36)

Action	Title	Year	Authors
+	Dirichlet Forms and Symmetric Markov Processes	2010	Masatoshi Fukushima Yōichi Ōshima Masayoshi Takeda
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux
+	Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach	2000	Percy Deift
+ PDF Chat	Universality of the Local Spacing Distribution¶in Certain Ensembles of Hermitian Wigner Matrices	2001	Kurt Johansson
+ PDF Chat	Universality results for the largest eigenvalues of some sample covariance matrix ensembles	2008	Sandrine Péché
+	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
+	Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory	1999	Percy Deift T. Kriecherbauer K. T-R McLaughlin Stephanos Venakides Xin Zhou
+	Bulk universality for Wigner hermitian matrices with subexponential decay	2009	László Erdős José A. Ramı́rez Benjamin Schlein Terence Tao Van Vu Horng‐Tzer Yau