Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Spectrum of Random Anti-symmetric and Tournament Matrices   We consider a discrete, non-Hermitian random matrix model, which can be
expressed as a shift of a rank-one perturbation of an anti-symmetric matrix. We
show that, asymptotically almost surely, the real parts of the eigenvalues of
the non-Hermitian matrix around any fixed index remain interlaced with those of
the anti-symmetric matrix. Along the way, we show that some tools recently
developed to study the eigenvalue distributions of Hermitian matrices extend to
the anti-symmetric setting.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th