The non-Hermitian minor process
Probability
2026-05-21 v1
Abstract
We show that the log-determinant of leading principal minors of large non-Hermitian random matrices converges in distribution to a 2+1 dimensional Gaussian field, which is logarithmically correlated for the parabolic distance, reminiscent to the Edwards-Wilkinson universality class.
Cite
@article{arxiv.2605.21265,
title = {The non-Hermitian minor process},
author = {Giorgio Cipolloni and László Erdős and Oleksii Kolupaiev},
journal= {arXiv preprint arXiv:2605.21265},
year = {2026}
}
Comments
29 pages, 1 figure