scholarly journals Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients

2019 ◽  
Vol 9 (3) ◽  
pp. 1115-1155
Author(s):  
Milivoje Lukic
Keyword(s):  
Spectral Edge ◽  
Edge Behavior ◽  
Verblunsky Coefficients

scholarly journals New applications of Spectral Edge image fusion

2016 ◽  
Author(s):  
Alex E. Hayes ◽  
Roberto Montagna ◽  
Graham D. Finlayson
Keyword(s):  
Image Fusion ◽  
Edge Image ◽  
Spectral Edge ◽  
New Applications

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.

Fentanyl-mediated reduction in the bispectral index and 95% spectral edge frequency is age-dependent

2003 ◽  
Vol 20 (2) ◽  
pp. 167-169
Author(s):  
N. Anzawa ◽  
K. Hirota ◽  
M. Kitayama ◽  
T. Kushikata ◽  
A. Matsuki
Keyword(s):  
Bispectral Index ◽  
Spectral Edge Frequency ◽  
Spectral Edge ◽  
Age Dependent ◽  
Mediated Reduction
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