Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the KPZ line ensemble   In this paper we study the KPZ line ensembles under the KPZ scaling. Based on
their Gibbs property, we derive quantitative local fluctuation estimates for
the scaled KPZ line ensembles. This allows us to show that the family of scaled
KPZ line ensembles is tight. Together with the recent progress in [QS20],
[Vir], and [DM], the tightness result yields the conjectural convergence of the
scaled KPZ line ensembles to the Airy line ensemble.

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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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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: ao-sci
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The categories of this paper are: supr-con