Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A central limit theorem for the determinant of a Wigner matrix   We establish a central limit theorem for the log-determinant
$\log|\det(M_n)|$ of a Wigner matrix $M_n$, under the assumption of four
matching moments with either the GUE or GOE ensemble. More specifically, we
show that this log-determinant is asymptotically distributed like $N(\log
\sqrt{n!} - 1/2 \log n, 1/2 \log n)_\R$ when one matches moments with GUE, and
$N(\log \sqrt{n!} - 1/4 \log n, 1/4 \log n)_\R$ when one matches moments with
GOE.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ