4 papers
Convergence of random sums in non-commutative probability
Arup Bose, Pradeep Vishwakarma
Random sums of independent random variables have been extensively studied in classical probability theory. We consider random sums of self-adjoint variables from a non-commutative…
Patterned matrices with random walk entries
Arup Bose, Pradeep Vishwakarma
It is well known that the weak limit of a suitably scaled continuous-time random walk (CTRW) is the Brownian motion. We investigate the convergence of certain patterned random matr…
The "visible" Wigner matrix
Arup Bose, Soumendu Sundar Mukherjee
We consider the ``visible'' Wigner matrix, a Wigner matrix whose -th entry is coerced to zero if are co-prime. Using a recent result from elementary number theory on…
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…