Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit distributions and scaling functions   We discuss the asymptotic behaviour of models of lattice polygons, mainly on
the square lattice. In particular, we focus on limiting area laws in the
uniform perimeter ensemble where, for fixed perimeter, each polygon of a given
area occurs with the same probability. We relate limit distributions to the
scaling behaviour of the associated perimeter and area generating functions,
thereby providing a geometric interpretation of scaling functions. To a major
extent, this article is a pedagogic review of known results.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat