Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Shape of Random Pattern-Avoiding Permutations   We initiate the study of limit shapes for random permutations avoiding a
given pattern. Specifically, for patterns of length 3, we obtain delicate
results on the asymptotics of distributions of positions of numbers in the
permutations. We view the permutations as 0-1 matrices to describe the
resulting asymptotics geometrically. We then apply our results to obtain a
number of results on distributions of permutation statistics.

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ