Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-Gaussian fluctuations of the giant cluster for percolation on
  random recursive trees   We consider a Bernoulli bond percolation on a random recursive tree of size
$n\gg 1$, with supercritical parameter $p_n=1-c/\ln n$ for some $c>0$ fixed. It
is known that with high probability, there exists then a unique giant cluster
of size $G_n\sim \e^{-c}$, and it follows from a recent result of Schweinsberg
\cite{Sch} that $G_n$ has non-gaussian fluctuations. We provide an explanation
of this by analyzing the effect of percolation on different phases of the
growth of recursive trees. This alternative approach may be useful for studying
percolation on other classes of trees, such as for instance regular trees.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin