Charles Explorer logo
🇬🇧

The Sixth Moment of Random Determinants

Publication at Faculty of Mathematics and Physics |
2023

Abstract

We determine the sixth moment of the determinant of an asymmetric nxn random matrix where the entries are drawn independently from an arbitrary distribution & OHM; over R with mean 0. Furthermore, we derive the asymptotic behavior of the sixth moment of the determinant as the size of the matrix tends to infinity.