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math.PR2017
Brown measure and asymptotic freeness of elliptic and related matrices
Kartick Adhikari, Arup Bose
We show that independent elliptic matrices converge to freely independent elliptic elements. Moreover, the elliptic matrices are asymptotically free with deterministic matrices und…
math.PR2017
Universality in the fluctuation of eigenvalues of random circulant matrices
Kartick Adhikari, Koushik Saha
We show that the linear statistics of eigenvalues of circulant matrix obey the Gaussian central limit theorem for a large class of input sequences.