Limiting spectral distribution of the product of truncated Haar unitary matrices

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

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