Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The peak statistics on simsun permutations   In this paper, we study the relationship among left peaks, interior peaks and
up-down runs of simsun permutations. Properties of the generating polynomials,
including the recurrence relation, generating function and real-rootedness are
studied. Moreover, we introduce and study simsun permutations of the second
kind.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio