Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Volume of the Trace-Nonnegative Polytope via the Irwin-Hall
  Distribution   In this work, we find an explicit expression for the volume of the trace
nonnegative polytope via a generalization of the Irwin-Hall distribution. This
volume is an upper bound for the volume of all projected, normalized realizable
spectra. We provide ancillary results on realizable trace-zero spectra and pose
several problems suitable for further inquiry.

28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th