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math.PR2023
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…
math.PR2023
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…