Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Writhe of Permutations and Random Framed Knots   We introduce and study the writhe of a permutation, a circular variant of the
well-known inversion number. This simple permutation statistics has several
interpretations, which lead to some interesting properties. For a permutation
sampled uniformly at random, we study the asymptotics of the writhe, and obtain
a non-Gaussian limit distribution.
  This work is motivated by the study of random knots. A model for random
framed knots is described, which refines the Petaluma model. The distribution
of the framing in this model is equivalent to the writhe of random
permutations.

14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga