Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markov processes related to the stationary measure for the open KPZ
  equation   We provide a probabilistic description of the stationary measures for the
open KPZ on the spatial interval $[0,1]$ in terms of a Markov process $Y$,
which is a Doob's $h$ transform of the Brownian motion killed at an exponential
rate. Our work builds on a recent formula of Corwin and Knizel which expresses
the multipoint Laplace transform of the stationary solution of the open KPZ in
terms of another Markov process $\mathbb T$: the continuous dual Hahn process
with Laplace variables taking on the role of time-points in the process. The
core of our approach is to prove that the Laplace transforms of the finite
dimensional distributions of $Y$ and $\mathbb T$ are equal when the time
parameters of one process become the Laplace variables of the other process and
vice versa.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin