Global and local limits for products of rectangular Ginibre matrices
Probability
2025-10-21 v1
Abstract
We investigate singular value statistics for products of independent rectangular complex Ginibre matrices. When the rectangularity parameters of the matrices converge to a common limit in the asymptotic regime, the limiting spectral density is derived, and the local statistics in the bulk are shown to be governed by the universal sine kernel. This generalizes the classical results for products of square Ginibre matrices to a specific class of rectangular matrix products.
Keywords
Cite
@article{arxiv.2510.17282,
title = {Global and local limits for products of rectangular Ginibre matrices},
author = {Yandong Gu},
journal= {arXiv preprint arXiv:2510.17282},
year = {2025}
}
Comments
12 pages, 1 figure