Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Antiferromagnetic Potts model on the Erdos-Renyi random graph   We study the antiferromagnetic Potts model on the Poissonian Erd\"os-R\'enyi
random graph. By identifying a suitable interpolation structure and an extended
variational principle, together with a positive temperature second-moment
analysis we prove the existence of a phase transition at a positive critical
temperature. Upper and lower bounds on the temperature critical value are
obtained from the stability analysis of the replica symmetric solution
(recovered in the framework of Derrida-Ruelle probability cascades)and from a
positive entropy argument.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci