Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian Fields and Stochastic Heat Equations   The objective of the paper is to characterize the Gaussian free field as a
stationary solution of the heat equation with additive space-time white noise.
In the case of whole space, the investigation leads to other types of Gaussian
fields, as well as interesting phenomena in dimensions one and two.

22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex