Gaussianity of normal vectors in random non-Hermitian matrices

TL;DR

This paper investigates the Gaussian distribution properties of normal vectors in random non-Hermitian matrices using geometric and comparison methods.

Contribution

It introduces a simple geometric approach to analyze the Gaussianity of normal vectors in non-Hermitian matrices, providing new insights.

Findings

Normal vectors exhibit Gaussian-like properties

Geometric comparison techniques are effective

Simplifies analysis of non-Hermitian matrices

Abstract

In this short note we address a gaussian property of normal vectors in random non-Hermitian matrices. The approach uses a simple geometric and comparison technique.