Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical exponents of plane meanders   Meanders form a set of combinatorial problems concerned with the enumeration
of self-avoiding loops crossing a line through a given number of points, $n$.
Meanders are considered distinct up to any smooth deformation leaving the line
fixed. We use a recently developed algorithm, based on transfer matrix methods,
to enumerate plane meanders. This allows us to calculate the number of closed
meanders up to $n=48$, the number of open meanders up to $n=43$, and the number
of semi-meanders up to $n=45$. The analysis of the series yields accurate
estimates of both the critical point and critical exponent, and shows that a
recent conjecture for the exact value of the semi-meander critical exponent is
unlikely to be correct, while the conjectured exponent value for closed and
open meanders is not inconsistent with the results from the analysis.

30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph