Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit theorems for Random Walk excursion conditioned to have a typical
  area   We derive a functional central limit theorem for the excursion of a random
walk conditioned on sweeping a prescribed geometric area. We assume that the
increments of the random walk are integer-valued, centered, with a third moment
equal to zero and a finite fourth moment. This result complements the work of
\citep{DKW13} where local central limit theorems are provided for the geometric
area of the excursion of a symmetric random walk with finite second moments.
  Our result turns out to be a key tool to derive the scaling limit of the
\emph{Interacting Partially-Directed Self-Avoiding Walk} at criticality which
is the object of a companion paper \citep{CarPet17a}. This requires to derive a
reinforced version of our result in the case of a random walk with Laplace
symmetric increments.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg