On the second moment of the determinant of random symmetric, Wigner, and
Hermitian matrices
On the second moment of the determinant of random symmetric, Wigner, and
Hermitian matrices
In this paper, we analyze the second moment of the determinant of random symmetric, Wigner, and Hermitian matrices. Using analytic combinatorics techniques, we determine the second moment of the determinant of Hermitian matrices whose entries on the diagonal are i.i.d and whose entries above the diagonal are i.i.d. and have …