Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationary correlations for the 1D KPZ equation   We study exact stationary properties of the one-dimensional
Kardar-Parisi-Zhang (KPZ) equation by using the replica approach. The
stationary state for the KPZ equation is realized by setting the initial
condition the two-sided Brownian motion (BM) with respect to the space
variable. Developing techniques for dealing with this initial condition in the
replica analysis, we elucidate some exact nature of the height fluctuation for
the KPZ equation. In particular, we obtain an explicit representation of the
probability distribution of the height in terms of the Fredholm determinants.
Furthermore from this expression, we also get the exact expression of the
space-time two-point correlation function.

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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol