Limiting spectral distribution of the product of truncated Haar unitary 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

Let An(i), 1 ≤ i ≤ k, be k probabilistically independent matrices of order ni × ni+1 (with n1 = nk+1) which are the left-uppermost blocks of n × n Haar unitary matrices. Suppose that n ni → αi as n →∞, with 1 < αi < ∞. Using free probability and Brown measure techniques, we find the limiting spectral distribution of An(1)⋯A n(k).

DOI

10.1142/S2010326320500021

Publication Date

4-1-2020

Comments

Open Access, Green

Recommended Citation

Adhikari, Kartick and Bose, Arup, "Limiting spectral distribution of the product of truncated Haar unitary matrices" (2020). Journal Articles. 342.
https://digitalcommons.isical.ac.in/journal-articles/342