Local semicircle law and Gaussian fluctuation for Hermite <italic>β</italic> ensemble

2012 ◽  
Vol 42 (10) ◽  
pp. 1017-1030 ◽  
Author(s):  
ZhiGang BAO ◽  
ZhongGen SU
Keyword(s):  
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 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

scholarly journals Local Semicircle Law for Random Regular Graphs

2017 ◽  
Vol 70 (10) ◽  
pp. 1898-1960 ◽  
Author(s):  
Roland Bauerschmidt ◽  
Antti Knowles ◽  
Horng-Tzer Yau
Keyword(s):  
Regular Graphs ◽  
Semicircle Law ◽  
Local Semicircle Law

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 Local semicircle law with imprimitive variance matrix

2014 ◽  
Vol 19 (0) ◽  
Author(s):  
Oskari Ajanki ◽  
Lászlo Erdős ◽  
Torben Krüger
Keyword(s):  
Semicircle Law ◽  
Variance Matrix ◽  
Local Semicircle Law

scholarly journals Spectral statistics of Erdős–Rényi graphs I: Local semicircle law

2013 ◽  
Vol 41 (3B) ◽  
pp. 2279-2375 ◽  
Author(s):  
László Erdős ◽  
Antti Knowles ◽  
Horng-Tzer Yau ◽  
Jun Yin
Keyword(s):  
Semicircle Law ◽  
Local Semicircle Law ◽  
Spectral Statistics
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