@article{EJP954,
author = {Sean O'Rourke and Alexander Soshnikov},
title = {Products of Independent non-Hermitian Random Matrices},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {Random matrices; Circular law},
abstract = {We consider the product of a finite number of non-Hermitian random matrices with i.i.d. centered entries of growing size. We assume that the entries have a finite moment of order bigger than two. We show that the empirical spectral distribution of the properly normalized product converges, almost surely, to a non-random, rotationally invariant distribution with compact support in the complex plane. The limiting distribution is a power of the circular law.},
pages = {no. 81, 2219-2245},
issn = {1083-6489},
doi = {10.1214/EJP.v16-954},
url = {http://ejp.ejpecp.org/article/view/954}}