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arXiv · 2605.21265

The non-Hermitian minor process

Giorgio Cipolloni·László Erdős·Oleksii Kolupaiev
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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.

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Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev. 2026-05-20. The non-Hermitian minor process. https://arxiv.org/abs/2605.21265

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