Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Three Different Notions of Monotone Subsequences   We review how the monotone pattern compares to other patterns in terms of
enumerative results on pattern avoiding permutations. We consider three natural
definitions of pattern avoidance, give an overview of classic and recent
formulas, and provide some new results related to limiting distributions.

4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph