Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Directed last passage percolation with discontinuous weights   We prove that a directed last passage percolation model with discontinuous
macroscopic (non-random) inhomogeneities has a continuum limit that corresponds
to solving a Hamilton-Jacobi equation in the viscosity sense. This
Hamilton-Jacobi equation is closely related to the conservation law for the
hydrodynamic limit of the totally asymmetric simple exclusion process. We also
prove convergence of a numerical scheme for the Hamilton-Jacobi equation and
present an algorithm based on dynamic programming for finding the asymptotic
shapes of maximal directed paths.

32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom