Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Free Stochastic Partial Differential Equation   We get stationary solutions of a free stochastic partial differential
equation. As an application, we prove equality of non-microstate and microstate
free entropy dimensions under a Lipschitz like condition on conjugate
variables, assuming also R^\omega\ embeddability. This includes an N-tuple of
q-Gaussian random variables e.g. for |q|N\leq 0.13.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom