Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady state of the KPZ equation on an interval and Liouville quantum
  mechanics   We obtain a simple formula for the stationary measure of the height field
evolving according to the Kardar-Parisi-Zhang equation on the interval $[0,L]$
with general Neumann type boundary conditions and any interval size. This is
achieved using the recent results of Corwin and Knizel (arXiv:2103.12253)
together with Liouville quantum mechanics. Our formula allows to easily
determine the stationary measure in various limits: KPZ fixed point on an
interval, half-line KPZ equation, KPZ fixed point on a half-line, as well as
the Edwards-Wilkinson equation on an interval.

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The categories of this paper are: solv-int
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph