103 citations · 235 across the 32 of their papers we have counts for
4 papers · 2 filters
Limiting Spectral Distribution of Block Matrices with Toeplitz Block Structure
Riddhipratim Basu, Arup Bose, Shirshendu Ganguly +1
We study two specific symmetric random block Toeplitz (of dimension ) matrices: where the blocks (of size ) are (i) matrices with i.i.d. entries, and (ii) a…
Spectral properties of random triangular matrices
Riddhipratim Basu, Arup Bose, Shirshendu Ganguly +1
We prove the existence of the limiting spectral distribution (LSD) of symmetric triangular patterned matrices and also establish the joint convergence of sequences of such matrices…
Joint convergence of several copies of different patterned random matrices
Riddhipratim Basu, Arup Bose, Shirshendu Ganguly +1
We study the joint convergence of independent copies of several patterned matrices in the noncommutative probability setup. In particular, joint convergence holds for the well know…
Limiting spectral distribution of sample autocovariance matrices
Anirban Basak, Arup Bose, Sanchayan Sen
We show that the empirical spectral distribution (ESD) of the sample autocovariance matrix (ACVM) converges as the dimension increases, when the time series is a linear process wit…