We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N tends to infinite. In the model, the eigenvalues have uniform density within a region determined by a simple analytic polynomial curve. We study the conformal deformations of equilibrium measures of normal random ensembles to the real line and give sufficient conditions for it to weakly converge to a Wigner measure
We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wig...
The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishar...
Abstract. Consider a deterministic self-adjoint matrix Xn with spectral measure con-verging to a com...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
AbstractWe generally study the density of eigenvalues in unitary ensembles of random matrices from t...
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recur...
We consider the random normal matrix ensemble associated with a potential in the plane of sufficient...
Abstract. Consider a deterministic self-adjoint matrix Xn with spectral measure con-verging to a com...
Götze F, Tikhomirov AN. Limit theorems for spectra of random matrices with martingale structure. THE...
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices dev...
We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles ...
Unitary random matrix ensembles Z_{n,N}^{-1} (det M)^alpha exp(-N Tr V(M)) dM defined on positive de...
The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrod...
We study the fluctuations of eigenvalues from a class of Wigner random matrices that generalize the ...
International audienceProperties of infinite sequences of exchangeable random variables result direc...
We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wig...
The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishar...
Abstract. Consider a deterministic self-adjoint matrix Xn with spectral measure con-verging to a com...
We investigate the eigenvalue statistics of ensembles of normal random matrices when their order N t...
AbstractWe generally study the density of eigenvalues in unitary ensembles of random matrices from t...
We generally study the density of eigenvalues in unitary ensembles of random matrices from the recur...
We consider the random normal matrix ensemble associated with a potential in the plane of sufficient...
Abstract. Consider a deterministic self-adjoint matrix Xn with spectral measure con-verging to a com...
Götze F, Tikhomirov AN. Limit theorems for spectra of random matrices with martingale structure. THE...
The goal of this article is to study how much the eigenvalues of large Hermitian random matrices dev...
We prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles ...
Unitary random matrix ensembles Z_{n,N}^{-1} (det M)^alpha exp(-N Tr V(M)) dM defined on positive de...
The relation between random normal matrices and conformal mappings discovered by Wiegmann and Zabrod...
We study the fluctuations of eigenvalues from a class of Wigner random matrices that generalize the ...
International audienceProperties of infinite sequences of exchangeable random variables result direc...
We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wig...
The eigenvalue densities of two random matrix ensembles, the Wigner Gaussian matrices and the Wishar...
Abstract. Consider a deterministic self-adjoint matrix Xn with spectral measure con-verging to a com...