function. We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large di-mensional Toeplitz, circulant and symmetric circulant matrices when the input sequence is inde-pendent and identically distributed with appropriate heavy tails. When the input sequence is a stationary two sided moving average process of infinite order, we scale the eigenvalues by the spectral density at appropriate ordinates and study the limit for their maximums.
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the ei...
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
In this article, we study the fluctuations of linear statistics of eigenvalues of circulant, symmetr...
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large dime...
To appear in Journel of Theoretical Probability. We first discuss the convergence in probability and...
We first discuss the convergence in probability and in distribution of the spectral norm of scaled T...
Abstract. Formula for the eigenvalues of circulant matrices with general shift by k places is availa...
We study the limiting spectral distribution for a class of circulant type random matrices with heavy...
Limiting spectral distribution (LSD) of scaled eigenvalues of circulant, symmetric circulant and a c...
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...
Suppose sn is the spectral norm of either the Toeplitz or the Hankel matrix whose entries come from ...
ABSTRACT. The study of the limiting distribution of eigenvalues of N × N random matrices as N → ∞ h...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the ei...
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
In this article, we study the fluctuations of linear statistics of eigenvalues of circulant, symmetr...
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large dime...
To appear in Journel of Theoretical Probability. We first discuss the convergence in probability and...
We first discuss the convergence in probability and in distribution of the spectral norm of scaled T...
Abstract. Formula for the eigenvalues of circulant matrices with general shift by k places is availa...
We study the limiting spectral distribution for a class of circulant type random matrices with heavy...
Limiting spectral distribution (LSD) of scaled eigenvalues of circulant, symmetric circulant and a c...
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...
Suppose sn is the spectral norm of either the Toeplitz or the Hankel matrix whose entries come from ...
ABSTRACT. The study of the limiting distribution of eigenvalues of N × N random matrices as N → ∞ h...
The methods to establish the limiting spectral distribution (LSD) of large dimensional random ma-tri...
The limiting spectral distribution of random matrices is known only in a few special situations. In ...
A new form of empirical spectral distribution of a Wigner matrix Wn with weights specified by the ei...
We show that the linear statistics of eigenvalues of random circulant matrices obey the Gaussian cen...
In this article, we study the fluctuations of linear statistics of eigenvalues of circulant, symmetr...