Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A universality property for last-passage percolation paths close to the
  axis   We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d.
weights whose common distribution has a finite $(2+p)$th moment. We study the
fluctuations of the passage time from the origin to the point
$\big(n,n^{\lfloor a \rfloor}\big)$. We show that, for suitable $a$ (depending
on $p$), this quantity, appropriately scaled, converges in distribution as
$n\to\infty$ to the Tracy-Widom distribution, irrespective of the underlying
weight distribution. The argument uses a coupling to a Brownian directed
percolation problem and the strong approximation of Koml\'os, Major and
Tusn\'ady.

1
The categories of this paper are: cs
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph