Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Why random matrices share universal processes with interacting particle
  systems?   In these lecture we explain why limiting distribution function, like the
Tracy-Widom distribution, or limit processes, like the Airy_2 process, arise
both in random matrices and interacting particle systems. The link is through a
common mathematical structure on an interlacing structure, also known as
Gelfand-Tsetlin pattern, that appears for specific models in both fields.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin