scholarly journals Statistics of Real Eigenvalues in Ginibre’s Ensemble of Random Real Matrices

2005 ◽  
Vol 95 (23) ◽  
Author(s):  
Eugene Kanzieper ◽  
Gernot Akemann
Keyword(s):  
Random Real ◽  
Real Matrices

Eigenvalue statistics of random real matrices

1991 ◽  
Vol 67 (8) ◽  
pp. 941-944 ◽  
Author(s):  
Nils Lehmann ◽  
Hans-Jürgen Sommers
Keyword(s):  
Random Real ◽  
Eigenvalue Statistics ◽  
Real Matrices

Eigenvalue Statistics of Random Real Matrices

1991 ◽  
Vol 67 (17) ◽  
pp. 2403-2403 ◽  
Author(s):  
Nils Lehmann ◽  
Hans-Jürgen Sommers
Keyword(s):  
Random Real ◽  
Eigenvalue Statistics ◽  
Real Matrices

scholarly journals Simplex algebras and their representation

1973 ◽  
Vol 14 (2) ◽  
pp. 136-144
Author(s):  
M. S. Vijayakumar
Keyword(s):  
Left Ideal ◽  
Maximal Ideal ◽  
Banach Algebras ◽  
Principal Component ◽  
Nonempty Interior ◽  
Regular Elements ◽  
Maximal Left Ideal ◽  
The Relationship ◽  
Order Identity ◽  
Real Matrices

This paper establishes a relationship (Theorem 4.1) between the approaches of A. C. Thompson [8, 9] and E. G. Effros [2] to the representation of simplex algebras, that is, real unital Banach algebras that are simplex spaces with the unit for order identity. It proves that the (nonempty) interior of the associated cone is contained in the principal component of the set of all regular elements of the algebra. It also conjectures that each maximal ideal (in the order sense—see below) of a simplex algebra contains a maximal left ideal of the algebra. This conjecture and other aspects of the relationship are illustrated by considering algebras of n × n real matrices.

scholarly journals Random real trees

2006 ◽  
Vol 15 (1) ◽  
pp. 35-62 ◽  
Author(s):  
Jean-François Le Gall
Keyword(s):  
Random Real

Eigenvalues and Eigenvectors of Real Matrices

2009 ◽  
pp. 451-459
Author(s):  
Klaus Weltner ◽  
Peter Schuster ◽  
Wolfgang J. Weber ◽  
Jean Grosjean
Keyword(s):  
Eigenvalues And Eigenvectors ◽  
Real Matrices
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