Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit shapes for the dimer model   We prove the existence of a limit shape for the dimer model on planar
periodic bipartite graphs with an arbitrary fundamental domain and arbitrary
periodic weights. This proof is based on a variational principle that uses the
locality of the model and the compactness of the space of states.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org