scholarly journals Non universality of fluctuations of outlier eigenvectors for block diagonal deformations of Wigner matrices

Author(s):  
Mireille Capitaine ◽  
Catherine Donati-Martin
1993 ◽  
Author(s):  
LAURA DUTTO ◽  
WAGDI HABASHI ◽  
MICHEL FORTIN ◽  
MICHEL ROBICHAUD

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

2020 ◽  
pp. 1-11
Author(s):  
Yesong Xu ◽  
Shuo Chen ◽  
Jun Li ◽  
Zongyan Han ◽  
Jian Yang

2021 ◽  
Vol 9 ◽  
Author(s):  
Zhigang Bao ◽  
László Erdős ◽  
Kevin Schnelli

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.


Author(s):  
Xian Fang ◽  
Ruixun Zhang ◽  
Zhengxin Li ◽  
Xiuli Shao

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