7 citations · 11 across the 11 of their papers we have counts for
11 papers
CLT for generalized patterned random matrices: a unified approach
Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha
In this paper, we derive a unified method for establishing the distributional convergence of linear eigenvalue statistics (LES) for generalized patterned random matrices. We prove…
Convergence of high dimensional Toeplitz and related matrices with correlated inputs
Kartick Adhikari, Arup Bose, Shambhu Nath Maurya
We investigate the joint convergence of independent random Toeplitz matrices with complex input entries that have a pair-correlation structure, along with deterministic Toeplitz ma…
Limiting spectral distribution of Toeplitz and Hankel matrices with dependent entries
Shambhu Nath Maurya
This article deals with the limiting spectral distributions (LSD) of symmetric Toeplitz and Hankel matrices with dependent entries. For any fixed positive integer , we consider…
Linear Eigenvalue Statistics of matrices
Kiran Kumar A. S, Shambhu Nath Maurya, Koushik Saha
This article focuses on the fluctuations of linear eigenvalue statistics of , where is an Toeplitz matrix with real, comple…
A non-Gaussian limit for linear eigenvalue statistics of Hankel matrices
Kiran Kumar A. S., Shambhu Nath Maurya, Koushik Saha
This article focuses on linear eigenvalue statistics of Hankel matrices with independent entries. Using the convergence of moments we show that the linear eigenvalue statistics of…
On limiting spectral distribution and joint convergence of some patterned random matrices
Shambhu Nath Maurya
This article deals with the limiting spectral distribution and joint convergence of reverse circulant and symmetric circulant matrices with independent entries. These results are a…
Asymptotic Behaviour of Linear eigenvalue statistics of Hankel matrices
Kiran Kumar A. S., Shambhu Nath Maurya
We study linear eigenvalue statistics of band Hankel matrices with Brownian motion entries. We prove that, the centred, normalized linear eigenvalue statistics of band Hankel matri…
Time dependent fluctuations of linear eigenvalue statistics of some patterned matrices
Arup Bose, Shambhu Nath Maurya, Koushik Saha
Consider the reverse circulant and symmetric circulant matrices with independent Brownian motion entries. We discuss the process convergence of the…
Fluctuation of linear eigenvalue statistics of reverse circulant matrices with independent entries
Shambhu Nath Maurya, Koushik Saha
In this article, we study the fluctuations of linear eigenvalue statistics of reverse circulant matrices with independent entries which satisfy some moment conditions. We…
Fluctuation of eigenvalues of symmetric circulant matrices with independent entries
Shambhu Nath Maurya, Koushik Saha
In this article, we study the fluctuation of linear eigenvalue statistics of symmetric circulant matrices with independent entries which satisfy some moment conditions. We…
Process convergence of Fluctuations of linear eigenvalue statistics of random circulant matrices
Shambhu Nath Maurya, Koushik Saha
In this paper we discuss the process convergence of the time dependent fluctuations of linear eigenvalue statistics of random circulant matrices with independent Brownian motion en…