Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When fast and slow interfaces grow together: connection to the
  half-space problem of the Kardar-Parisi-Zhang class   We study height fluctuations of interfaces in the $(1+1)$-dimensional
Kardar-Parisi-Zhang (KPZ) class, growing at different speeds in the left half
and the right half of space. Carrying out simulations of the discrete
polynuclear growth model with two different growth rates, combined with the
standard setting for the droplet, flat, and stationary geometries, we find that
the fluctuation properties at and near the boundary are described by the KPZ
half-space problem developed in the theoretical literature. In particular, in
the droplet case, the distribution at the boundary is given by the
largest-eigenvalue distribution of random matrices in the Gaussian symplectic
ensemble, often called the GSE Tracy-Widom distribution. We also characterize
crossover from the full-space statistics to the half-space one, which arises
when the difference between the two growth speeds is small.

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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: q-bio
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph