scholarly journals Eigenvalue Statistics of the Real Ginibre Ensemble

2007 ◽  
Vol 99 (5) ◽  
Author(s):  
Peter J. Forrester ◽  
Taro Nagao
Keyword(s):  
The Real ◽  
Ginibre Ensemble ◽  
Eigenvalue Statistics

scholarly journals Edge universality for non-Hermitian random matrices

2020 ◽  
Author(s):  
Giorgio Cipolloni ◽  
László Erdős ◽  
Dominik Schröder
Keyword(s):  
Unit Circle ◽  
Random Matrices ◽  
Matrix Elements ◽  
Spectral Edge ◽  
Ginibre Ensemble ◽  
Eigenvalue Statistics ◽  
The Matrix ◽  
Independent Identically Distributed

Abstract We consider large non-Hermitian real or complex random matrices $$X$$ X with independent, identically distributed centred entries. We prove that their local eigenvalue statistics near the spectral edge, the unit circle, coincide with those of the Ginibre ensemble, i.e. when the matrix elements of $$X$$ X are Gaussian. This result is the non-Hermitian counterpart of the universality of the Tracy–Widom distribution at the spectral edges of the Wigner ensemble.

scholarly journals Intermediate deviation regime for the full eigenvalue statistics in the complex Ginibre ensemble

2019 ◽  
Vol 100 (1) ◽  
Author(s):  
Bertrand Lacroix-A-Chez-Toine ◽  
Jeyson Andrés Monroy Garzón ◽  
Christopher Sebastian Hidalgo Calva ◽  
Isaac Pérez Castillo ◽  
Anupam Kundu ◽  
...  
Keyword(s):  
Ginibre Ensemble ◽  
Eigenvalue Statistics

scholarly journals On the distribution of the largest real eigenvalue for the real Ginibre ensemble

2017 ◽  
Vol 27 (3) ◽  
pp. 1395-1413 ◽  
Author(s):  
Mihail Poplavskyi ◽  
Roger Tribe ◽  
Oleg Zaboronski
Keyword(s):  
Real Eigenvalue ◽  
The Real ◽  
Ginibre Ensemble

scholarly journals Schur function averages for the real Ginibre ensemble

2009 ◽  
Vol 42 (22) ◽  
pp. 222002 ◽  
Author(s):  
Hans-Jürgen Sommers ◽  
Boris A Khoruzhenko
Keyword(s):  
Schur Function ◽  
The Real ◽  
Ginibre Ensemble

scholarly journals General eigenvalue correlations for the real Ginibre ensemble

2008 ◽  
Vol 41 (40) ◽  
pp. 405003 ◽  
Author(s):  
Hans-Jürgen Sommers ◽  
Waldemar Wieczorek
Keyword(s):  
The Real ◽  
Ginibre Ensemble

scholarly journals Extremal laws for the real Ginibre ensemble

2014 ◽  
Vol 24 (4) ◽  
pp. 1621-1651 ◽  
Author(s):  
Brian Rider ◽  
Christopher D. Sinclair
Keyword(s):  
The Real ◽  
Ginibre Ensemble

The Real Ginibre Ensemble with $$k=O(n)$$ k = O ( n ) Real Eigenvalues

2016 ◽  
Vol 163 (2) ◽  
pp. 303-323 ◽  
Author(s):  
Luis Carlos García del Molino ◽  
Khashayar Pakdaman ◽  
Jonathan Touboul ◽  
Gilles Wainrib
Keyword(s):  
The Real ◽  
Ginibre Ensemble
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