scholarly journals Explicit multi-matrix topological expansion for quaternionic random matrices

2016 ◽  
Vol 57 (2) ◽  
pp. 023511 ◽  
Author(s):  
C. E. I. Redelmeier
Keyword(s):  
Random Matrices ◽  
Topological Expansion

Communication Optimal Parallel Multiplication of Sparse Random Matrices

2013 ◽  
Author(s):  
Grey Ballard ◽  
Aydin Buluc ◽  
James Demmel ◽  
Laura Grigori ◽  
Benjamin Lipshitz ◽  
...  
Keyword(s):  
Random Matrices ◽  
Sparse Random Matrices ◽  
Parallel Multiplication

VICTORIA transform, RESPECT and REFORM methods for the proof of the G-Elliptic Law under G-Lindeberg condition and twice stochastic condition for the variances and covariances of the entries of some random matrices

2020 ◽  
Vol 28 (2) ◽  
pp. 131-162
Author(s):  
Vyacheslav L. Girko
Keyword(s):  
Random Matrices ◽  
Random Matrix ◽  
Lindeberg Condition

AbstractThe G-Elliptic law under the G-Lindeberg condition for the independent pairs of the entries of a random matrix is proven.

scholarly journals Jacobi Ensemble, Hurwitz Numbers and Wilson Polynomials

2021 ◽  
Vol 111 (3) ◽  
Author(s):  
Massimo Gisonni ◽  
Tamara Grava ◽  
Giulio Ruzza
Keyword(s):  
Generating Functions ◽  
Combinatorial Interpretation ◽  
Hurwitz Numbers ◽  
Jacobi Ensemble ◽  
Matrix Ensembles ◽  
Wilson Polynomials ◽  
Unitary Ensemble ◽  
Topological Expansion

AbstractWe express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurwitz numbers. This completes the combinatorial interpretation of the topological expansion of the classical unitary invariant matrix ensembles. We also provide effective formulæ for generating functions of multipoint correlators of the Jacobi Unitary Ensemble in terms of Wilson polynomials, generalizing the known relations between one point correlators and Wilson polynomials.

Diagrammatic Perturbation Expansion for Ensembles of Random Matrices

1970 ◽  
Vol 11 (10) ◽  
pp. 3103-3110 ◽  
Author(s):  
J. F. McDonald ◽  
L. D. Favro
Keyword(s):  
Random Matrices ◽  
Perturbation Expansion

scholarly journals Eigenvalues and Condition Numbers of Complex Random Matrices

2004 ◽  
Vol 26 (2) ◽  
pp. 441-456 ◽  
Author(s):  
T. Ratnarajah ◽  
R. Vaillancourt ◽  
M. Alvo
Keyword(s):  
Random Matrices ◽  
Condition Numbers
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