scholarly journals A comment on the Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices

2012 ◽  
Vol 17 (0) ◽  
Author(s):  
László Erdős ◽  
Horng-Tzer Yau
Keyword(s):  
Wigner Matrices

Limiting Behavior of Eigenvectors of Large Wigner Matrices

2011 ◽  
Vol 146 (3) ◽  
pp. 519-549 ◽  
Author(s):  
Z. D. Bai ◽  
G. M. Pan
Keyword(s):  
Limiting Behavior ◽  
Wigner Matrices

scholarly journals Equipartition principle for Wigner matrices

2021 ◽  
Vol 9 ◽  
Author(s):  
Zhigang Bao ◽  
László Erdős ◽  
Kevin Schnelli
Keyword(s):  
High Precision ◽  
Quantum Systems ◽  
Wigner Matrices ◽  
Very High

Abstract We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high precision. This shows a particularly strong microcanonical form of the equipartition principle for quantum systems whose components are modelled by Wigner matrices.

scholarly journals Local laws for polynomials of Wigner matrices

2020 ◽  
Vol 278 (12) ◽  
pp. 108507
Author(s):  
László Erdős ◽  
Torben Krüger ◽  
Yuriy Nemish
Keyword(s):  
Wigner Matrices

Real and complex Wigner matrices

2011 ◽  
pp. 6-89
Author(s):  
Greg W. Anderson ◽  
Alice Guionnet ◽  
Ofer Zeitouni
Keyword(s):  
Wigner Matrices

scholarly journals Bounds for the Stieltjes transform and the density of states of Wigner matrices

2014 ◽  
Vol 163 (1-2) ◽  
pp. 1-59 ◽  
Author(s):  
Claudio Cacciapuoti ◽  
Anna Maltsev ◽  
Benjamin Schlein
Keyword(s):  
Density Of States ◽  
Stieltjes Transform ◽  
Wigner Matrices
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