scholarly journals Janossy Densities for Unitary Ensembles at the Spectral Edge

Author(s):  
B. Rider ◽  
X. Zhou
2016 ◽  
Author(s):  
Alex E. Hayes ◽  
Roberto Montagna ◽  
Graham D. Finlayson

Author(s):  
Giorgio Cipolloni ◽  
László Erdős ◽  
Dominik Schröder

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.


2003 ◽  
Vol 20 (2) ◽  
pp. 167-169
Author(s):  
N. Anzawa ◽  
K. Hirota ◽  
M. Kitayama ◽  
T. Kushikata ◽  
A. Matsuki

2003 ◽  
Vol 64 (7) ◽  
pp. 866-873 ◽  
Author(s):  
Maria F. Martin-Cancho ◽  
Juan R. Lima ◽  
Laura Luis ◽  
Veronica Crisostomo ◽  
Luis J. Ezquerra ◽  
...  

Neonatology ◽  
1991 ◽  
Vol 60 (2) ◽  
pp. 69-74 ◽  
Author(s):  
Angela H. Bell ◽  
B.G. McClure ◽  
P.J. McCullagh ◽  
R.J. McClelland

1986 ◽  
Vol 14 (1) ◽  
pp. 32-36 ◽  
Author(s):  
A. B. Baker ◽  
A. J. Roxburgh

A prospective study was undertaken in twenty patients undergoing carotid endarterectomy using computerised EEG monitoring in the form of a density-modulated spectral array, spectral edge frequency and integrated EEG power for monitoring cerebral ischaemia. This form of monitoring proved to be easy to use and understand. Because ischaemic EEG events longer than one minute were not necessarily followed by postoperative deficits, the definition of significant events that would cause ischaemia may need to be modified.


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