scholarly journals The local semicircle law for random matrices with a fourfold symmetry

2015 ◽  
Vol 56 (10) ◽  
pp. 103301 ◽  
Author(s):  
Johannes Alt
Keyword(s):  
Random Matrices ◽  
Semicircle Law ◽  
Local Semicircle Law ◽  
Fourfold Symmetry

scholarly journals Local Semicircle Law and Complete Delocalization for Wigner Random Matrices

2008 ◽  
Vol 287 (2) ◽  
pp. 641-655 ◽  
Author(s):  
László Erdős ◽  
Benjamin Schlein ◽  
Horng-Tzer Yau
Keyword(s):  
Random Matrices ◽  
Semicircle Law ◽  
Local Semicircle Law ◽  
Wigner Random Matrices

scholarly journals The local semicircle law for a general class of random matrices

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
László Erdős ◽  
Antti Knowles ◽  
Horng-Tzer Yau ◽  
Jun Yin
Keyword(s):  
Random Matrices ◽  
General Class ◽  
Semicircle Law ◽  
Local Semicircle Law

Local semicircle law under weak moment conditions

2016 ◽  
Vol 93 (3) ◽  
pp. 248-250 ◽  
Author(s):  
F. Götze ◽  
A. A. Naumov ◽  
A. N. Tikhomirov ◽  
D. A. Timushev
Keyword(s):  
Moment Conditions ◽  
Semicircle Law ◽  
Local Semicircle Law

On Optimal Bounds in the Local Semicircle Law under Four Moment Condition

2019 ◽  
Vol 99 (1) ◽  
pp. 40-43
Author(s):  
F. Götze ◽  
A. A. Naumov ◽  
A. N. Tikhomirov
Keyword(s):  
Moment Condition ◽  
Semicircle Law ◽  
Local Semicircle Law ◽  
Optimal Bounds

scholarly journals Local Semicircle Law Under Fourth Moment Condition

2019 ◽  
Vol 33 (3) ◽  
pp. 1327-1362
Author(s):  
F. Götze ◽  
A. Naumov ◽  
A. Tikhomirov
Keyword(s):  
Moment Condition ◽  
Fourth Moment ◽  
Semicircle Law ◽  
Local Semicircle Law

scholarly journals EIGENVALUE VARIANCE BOUNDS FOR WIGNER AND COVARIANCE RANDOM MATRICES

2012 ◽  
Vol 01 (03) ◽  
pp. 1250007 ◽  
Author(s):  
S. DALLAPORTA
Keyword(s):  
Random Matrices ◽  
Spectral Measure ◽  
Wasserstein Distance ◽  
Covariance Matrices ◽  
Finite Range ◽  
Variance Bounds ◽  
Semicircle Law ◽  
Wigner Matrices ◽  
Wigner Random Matrices

This work is concerned with finite range bounds on the variance of individual eigenvalues of Wigner random matrices, in the bulk and at the edge of the spectrum, as well as for some intermediate eigenvalues. Relying on the GUE example, which needs to be investigated first, the main bounds are extended to families of Hermitian Wigner matrices by means of the Tao and Vu Four Moment Theorem and recent localization results by Erdös, Yau and Yin. The case of real Wigner matrices is obtained from interlacing formulas. As an application, bounds on the expected 2-Wasserstein distance between the empirical spectral measure and the semicircle law are derived. Similar results are available for random covariance matrices.

scholarly journals Local Semicircle Law in the Bulk for Gaussian β-Ensemble

2012 ◽  
Vol 148 (2) ◽  
pp. 204-232 ◽  
Author(s):  
Philippe Sosoe ◽  
Percy Wong
Keyword(s):  
Semicircle Law ◽  
Local Semicircle Law
Sign in / Sign up

Export Citation Format

Share Document