Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The KPZ equation in a half space with flat initial condition and the
  unbinding of a directed polymer from an attractive wall   We present an exact solution for the height distribution of the KPZ equation
at any time $t$ in a half space with flat initial condition. This is equivalent
to obtaining the free energy distribution of a polymer of length $t$ pinned at
a wall at a single point. In the large $t$ limit a binding transition takes
place upon increasing the attractiveness of the wall. Around the critical point
we find the same statistics as in the Baik-Ben--Arous-P\'ech\'e transition for
outlier eigenvalues in random matrix theory. In the bound phase, we obtain the
exact measure for the endpoint and the midpoint of the polymer at large time.
We also unveil curious identities in distribution between partition functions
in half-space and certain partition functions in full space for Brownian type
initial condition.

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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg