Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the short time asymptotic of the stochastic Allen-Cahn equation   A description of the short time behavior of solutions of the Allen-Cahn
equation with a smoothened additive noise is presented. The key result is that
in the sharp interface limit solutions move according to motion by mean
curvature with an additional stochastic forcing. This extends a similar result
of Funaki in spatial dimension $n=2$ to arbitrary dimensions.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph