Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit shapes of bumping routes in the Robinson-Schensted correspondence   We prove a limit shape theorem describing the asymptotic shape of bumping
routes when the Robinson-Schensted algorithm is applied to a finite sequence of
independent, identically distributed random variables with the uniform
distribution $U[0,1]$ on the unit interval, followed by an insertion of a
deterministic number $\alpha$. The bumping route converges after scaling, in
the limit as the length of the sequence tends to infinity, to an explicit,
deterministic curve depending only on $\alpha$. This extends our previous
result on the asymptotic determinism of Robinson-Schensted insertion, and
answers a question posed by Moore in 2006.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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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: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int