Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New periodic Gibbs measures for Potts model with q-states on a Cayley
  tree   In this paper under some conditions on parameters of the Potts model with
q-states on a Cayley tree of order k it is proved existence of the periodic
(non translation-invariant)Gibbs measures. Also given a theorem about the
number of these measures.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci