Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of stationary stochastic Burgers evolutions on $\mathbf{R}^2$
  and $\mathbf{R}^3$   We prove that the stochastic Burgers equation on $\mathbf{R}^{d}$, $d<4$,
forced by gradient noise that is white in time and smooth in space, admits
spacetime-stationary solutions. These solutions are thus the gradients of
solutions to the KPZ equation on $\mathbf{R}^{d}$ with stationary gradients.
The proof works by proving tightness of the time-averaged laws of the solutions
in an appropriate weighted space.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas