We study the limiting spectral distribution for a class of circulant type random matrices with heavy tailed input sequence. Unlike the light tailed case where the limit is nonrandom, here the limit is a random probability distribution. We provide an explicit representation of the limit
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
AbstractLet X = {Xij:i, j = 1, 2,…} be an infinite dimensional random matrix, Tp be a p × p nonnegat...
Abstract. We show central limit theorems (CLT) for the linear statistics of symmetric matrices with ...
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large dime...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
function. We first study the probabilistic properties of the spectral norm of scaled eigenvalues of ...
Limiting spectral distribution (LSD) of scaled eigenvalues of circulant, symmetric circulant and a c...
Abstract. Formula for the eigenvalues of circulant matrices with general shift by k places is availa...
Abstract. In this article, we derive the limiting spectral distribution of the reverse circulant mat...
To appear in Journel of Theoretical Probability. We first discuss the convergence in probability and...
Abstract. We consider an indexed class of real symmetric random matrices which gen-eralize the symme...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random matric...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random matric...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
The goal of this article is to extend some results of Popescu (Probab. Theory Relat. Fields 144:179,...
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
AbstractLet X = {Xij:i, j = 1, 2,…} be an infinite dimensional random matrix, Tp be a p × p nonnegat...
Abstract. We show central limit theorems (CLT) for the linear statistics of symmetric matrices with ...
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large dime...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
function. We first study the probabilistic properties of the spectral norm of scaled eigenvalues of ...
Limiting spectral distribution (LSD) of scaled eigenvalues of circulant, symmetric circulant and a c...
Abstract. Formula for the eigenvalues of circulant matrices with general shift by k places is availa...
Abstract. In this article, we derive the limiting spectral distribution of the reverse circulant mat...
To appear in Journel of Theoretical Probability. We first discuss the convergence in probability and...
Abstract. We consider an indexed class of real symmetric random matrices which gen-eralize the symme...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random matric...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random matric...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
The goal of this article is to extend some results of Popescu (Probab. Theory Relat. Fields 144:179,...
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
AbstractLet X = {Xij:i, j = 1, 2,…} be an infinite dimensional random matrix, Tp be a p × p nonnegat...
Abstract. We show central limit theorems (CLT) for the linear statistics of symmetric matrices with ...
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