Brown measure and asymptotic freeness of elliptic and related matrices

Authors

Kartick Adhikari, Indian Statistical Institute, Kolkata
Arup Bose, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Random Matrices: Theory and Application

Abstract

We show that independent elliptic matrices converge to freely independent elliptic elements. Moreover, the elliptic matrices are asymptotically free with deterministic matrices under appropriate conditions. We compute the Brown measure of the product of elliptic elements. It turns out that this Brown measure is same as the limiting spectral distribution.

DOI

10.1142/S2010326319500072

Publication Date

4-1-2019

Comments

Open Access, Green

Recommended Citation

Adhikari, Kartick and Bose, Arup, "Brown measure and asymptotic freeness of elliptic and related matrices" (2019). Journal Articles. 904.
https://digitalcommons.isical.ac.in/journal-articles/904