Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anisotropic Surface Tensions for Phase Transitions in Periodic Media   This paper establishes bounds on the homogenized surface tension for a
heterogeneous Allen-Cahn energy functional in a periodic medium. The approach
is based on relating the homogenized energy to a purely geometric variational
problem involving the large scale behaviour of the signed distance function to
a hyperplane in periodic media. Motivated by this, a homogenization result for
the signed distance function to a hyperplane in both periodic and almost
periodic media is proven.

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys