Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical exponents of surface-interacting self-avoiding walks on a
  family of truncated n-simplex lattices   We study the critical behavior of surface-interacting self-avoiding random
walks on a class of truncated simplex lattices, which can be labeled by an
integer $n\ge 3$. Using the exact renormalization group method we have been
able to obtain the exact values of various critical exponents for all values of
n up to n=6. We also derived simple formulas which describe the asymptotic
behavior of these exponents in the limit of large n ($n\to\infty$). In spite of
the fact that the coordination number of the lattice tends to infinity in this
limit, we found that the most of the studied critical exponents approach
certain finite values, which differ from corresponding values for simple random
walks (without self-avoiding walk constraint).

28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg