Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the limiting law of the length of the longest common and increasing
  subsequences in random words   Let $X=(X_i)_{i\ge 1}$ and $Y=(Y_i)_{i\ge 1}$ be two sequences of independent
and identically distributed (iid) random variables taking their values,
uniformly, in a common totally ordered finite alphabet. Let LCI$_n$ be the
length of the longest common and (weakly) increasing subsequence of $X_1\cdots
X_n$ and $Y_1\cdots Y_n$. As $n$ grows without bound, and when properly
centered and normalized, LCI$_n$ is shown to converge, in distribution, towards
a Brownian functional that we identify.

3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs