Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Expected Number of Distinct Consecutive Patterns in a Random
  Permutation   Let $\pi_n$ be a uniformly chosen random permutation on $[n]$. Using an
analysis of the probability that two overlapping consecutive $k$-permutations
are order isomorphic, we show that the expected number of distinct consecutive
patterns in $\pi_n$ is $\frac{n^2}{2}(1-o(1))$. This exhibits the fact that
random permutations pack consecutive patterns near-perfectly.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an