The embedded ensembles were introduced by Mon and French (1975 Ann. Phys., NY 95 90) as physically more plausible stochastic models of many-body systems governed by one- and two-body interactions than provided by standard random-matrix theory. We review several approaches aimed at determining the spectral density, the spectral fluctuation properties and the ergodic properties of these ensembles: moments methods, numerical simulations, the replica trick, the eigenvector decomposition of the matrix of second moments and supersymmetry, the binary correlation approximation, and the study of correlations between matrix elements
In this thesis, we provide a self contained introduction to the theory of random matrices and matrix...
Abstract. Muttalib–Borodin ensembles are characterised by the pair inter-action term in the eigenval...
We analyse correlations of eigenvectors in Ginibre's and Girko's ensembles of Gaussian, non-Hermitia...
The embedded ensembles were introduced by Mon and French (1975 Ann. Phys., NY 95 90) as physically m...
The k-body embedded ensembles of random matrices originally defined by Mon and French are investigat...
We extend the recent study of the k-body embedded Gaussian ensembles by L. Benet, T. Rupp. and H. A....
We extend the recent study of the k-body embedded Gaussian ensembles by L. Benet, T. Rupp, and H. A....
We consider m spinless Bosons distributed over I degenerate single-particle states and interacting t...
We consider m spinless Bosons distributed over l degenerate single-particle states and interacting t...
Although used with increasing frequency in many branches of physics, random matrix ensembles are not...
Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-partic...
In this thesis we begin by presenting an introduction on random matrices, their different classes an...
We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=W\tilde{H}W$, ...
We investigate the shape of the spectrum and the spectral fluctuations of the k-body embedded Gauss...
Random matrix theory is at the intersection of linear algebra, probability theory and integrable sys...
In this thesis, we provide a self contained introduction to the theory of random matrices and matrix...
Abstract. Muttalib–Borodin ensembles are characterised by the pair inter-action term in the eigenval...
We analyse correlations of eigenvectors in Ginibre's and Girko's ensembles of Gaussian, non-Hermitia...
The embedded ensembles were introduced by Mon and French (1975 Ann. Phys., NY 95 90) as physically m...
The k-body embedded ensembles of random matrices originally defined by Mon and French are investigat...
We extend the recent study of the k-body embedded Gaussian ensembles by L. Benet, T. Rupp. and H. A....
We extend the recent study of the k-body embedded Gaussian ensembles by L. Benet, T. Rupp, and H. A....
We consider m spinless Bosons distributed over I degenerate single-particle states and interacting t...
We consider m spinless Bosons distributed over l degenerate single-particle states and interacting t...
Although used with increasing frequency in many branches of physics, random matrix ensembles are not...
Embedded ensembles or random matrix ensembles generated by k-body interactions acting in many-partic...
In this thesis we begin by presenting an introduction on random matrices, their different classes an...
We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=W\tilde{H}W$, ...
We investigate the shape of the spectrum and the spectral fluctuations of the k-body embedded Gauss...
Random matrix theory is at the intersection of linear algebra, probability theory and integrable sys...
In this thesis, we provide a self contained introduction to the theory of random matrices and matrix...
Abstract. Muttalib–Borodin ensembles are characterised by the pair inter-action term in the eigenval...
We analyse correlations of eigenvectors in Ginibre's and Girko's ensembles of Gaussian, non-Hermitia...