The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrodin is made rigorous by restricting normal matrices to have spectrum in a bounded set. It is shown that for a suitable class of potentials the asymptotic density of eigenvalues is uniform with support in the interior domain of a simple smooth curv
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...
We consider the random normal matrices with quadratic external potentials where the associated ortho...
We consider the random normal matrices with quadratic external potentials where the associated ortho...
AbstractLetAbe annbynmatrix whose elements are independent random variables with standard normal dis...
We consider the random normal matrix ensemble associated with a potential in the plane of sufficient...
In this article, we consider a fairly general potential in the plane and the corresponding Boltzmann...
Abstract. Using Grassmann variables and an analogy with two-dimensional electrostatics, we obtain th...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
We study the partition function from random matrix theory using a well known connection to orthogona...
Latex, 34 pages, 5 figuresWe study the eigenvalue distribution of a random matrix, at a transition w...
We consider the Gaussian ensembles of random matrices and describe the normal modes of the eigenvalu...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...
We consider the random normal matrices with quadratic external potentials where the associated ortho...
We consider the random normal matrices with quadratic external potentials where the associated ortho...
AbstractLetAbe annbynmatrix whose elements are independent random variables with standard normal dis...
We consider the random normal matrix ensemble associated with a potential in the plane of sufficient...
In this article, we consider a fairly general potential in the plane and the corresponding Boltzmann...
Abstract. Using Grassmann variables and an analogy with two-dimensional electrostatics, we obtain th...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
We study the partition function from random matrix theory using a well known connection to orthogona...
Latex, 34 pages, 5 figuresWe study the eigenvalue distribution of a random matrix, at a transition w...
We consider the Gaussian ensembles of random matrices and describe the normal modes of the eigenvalu...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
The eigenvalue density of many large random matrices is well approximated by a deterministic measure...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...
summary:Boundary value problems for ordinary differential equations with random coefficients are dea...