Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local KPZ behavior under arbitrary scaling limits   One of the main difficulties in proving convergence of discrete models of
surface growth to the Kardar-Parisi-Zhang (KPZ) equation in dimensions higher
than one is that the correct way to take a scaling limit, so that the limit is
nontrivial, is not known in a rigorous sense. To understand KPZ growth without
being hindered by this issue, this article introduces a notion of "local KPZ
behavior", which roughly means that the instantaneous growth of the surface at
a point decomposes into the sum of a Laplacian term, a gradient squared term, a
noise term that behaves like white noise, and a remainder term that is
negligible compared to the other three terms and their sum. The main result is
that for a general class of surfaces, which contains the model of directed
polymers in a random environment as a special case, local KPZ behavior occurs
under arbitrary scaling limits, in any dimension.

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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex