scholarly journals Characteristic polynomials of products of non-Hermitian Wigner matrices: finite-N results and Lyapunov universality

2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Gernot Akemann ◽  
Friedrich Götze ◽  
Thorsten Neuschel
Keyword(s):  
Characteristic Polynomials ◽  
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.

Note on graphs with irreducible characteristic polynomials

2021 ◽  
Author(s):  
Qian Yu ◽  
Fenjin Liu ◽  
Hao Zhang ◽  
Ziling Heng
Keyword(s):  
Characteristic Polynomials
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