Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A replacement lemma for obtaining pointwise estimates in phase
  transition models   We establish a replacement lemma for a variational problem, which is not
based on a local argument. We then apply it to a phase transition problem and
obtain pointwise estimates.

10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom