Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A transition of limiting distributions of large matchings in random
  graphs   We study the asymptotic distribution of the number of matchings of size
$\ell=\ell(n)$ in $G(n,p)$ for a wide range of $p=p(n)\in (0,1)$ and for every
$1\le \ell\le \lfloor n/2\rfloor$. We prove that this distribution changes from
normal to log-normal as $\ell$ increases, and we determine the critical value
of $\ell$, as a function of $n$ and $p$, at which the transition of the
limiting distribution occurs.

10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an