Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuum statistics of the Airy2 process   We develop an exact determinantal formula for the probability that the
Airy$_2$ process is bounded by a function $g$ on a finite interval. As an
application, we provide a direct proof that $\sup(\aip(x)-x^2)$ is distributed
as a GOE random variable. Both the continuum formula and the GOE result have
applications in the study of the end point of an unconstrained directed polymer
in a disordered environment. We explain Johansson's [Joh03] observation that
the GOE result follows from this polymer interpretation and exact results
within that field. In a companion paper [MQR11] these continuum statistics are
used to compute the distribution of the endpoint of directed polymers.

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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat