Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the local fluctuations of last-passage percolation models   Using the fact that the Airy process describes the limiting fluctuations of
the Hammersley last-passage percolation model, we prove that it behaves locally
like a Brownian motion. Our method is quite straightforward, and it is based on
a certain monotonicity and good control over the equilibrium measures of the
Hammersley model (local comparison).

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg