Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric
  interacting Brownian motions   We consider a system of infinitely many interacting Brownian motions that
models the height of a one-dimensional interface between two bulk phases. We
prove that the large scale fluctuations of the system are well approximated by
the solution to the KPZ equation provided the microscopic interaction is weakly
asymmetric. The proof is based on the martingale solutions of Goncalves and
Jara and the corresponding uniqueness result of Gubinelli and Perkowski.

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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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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: q-alg
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The categories of this paper are: chao-dyn