2 papers
math.PR2026
Revisiting Toeplitz and Hankel random matrices via -convergence of circulant-type matrices
Arup Bose, Pradeep Vishwakarma
We establish the joint -convergence of a random circulant matrix and a specific deterministic diagonal matrix. We also show that the empirical spectral distributions of skew-cir…
math.OA2025
Construction of product -probability spaces via free cumulants
Arup Bose, Soumendu Sundar Mukherjee
It is well known that free independence is equivalent to the vanishing of mixed free cumulants. The purpose of this short note is to build free products of -probability spaces u…