Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A functional limit convergence towards brownian excursion   We consider a random walk $S$ in the domain of attraction of a standard
normal law $Z$, \textit{ie} there exists a positive sequence $a_n$ such that
$S_n/a_n$ converges in law towards $Z$. The main result of this note is that
the rescaled process $(S_{\lfloor nt \rfloor}/a_n, t \geq 0)$ conditioned to
stay non-negative, to start and to come back \textit{near the origin} converges
in law towards the normalized brownian excursion.

23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex