Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on the Eigenvalue Density of Random Matrices   The distribution of eigenvalues of N times N random matrices in the limit N
to infinity is the solution to a variational principle that determines the
ground state energy of a confined fluid of classical unit charges. This fact is
a consequence of a more general theorem, proven here, in the statistical
mechanics of unstable interactions. Our result establishes the eigenvalue
density of some ensembles of random matrices which were not covered by previous
theorems.

3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg