Analysing the Moments of the Determinant of a Random Matrix Via Analytic Combinatorics of Permutation Tables

Dominik Beck, Zelin Lv, Aaron Potechin

We consider the following natural question. Given a matrix $A$ with i.i.d. random entries, what are the moments of the determinant of $A$? In other words, what is $\mathbb{E}[\det(…