Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capacitive flows on a 2D random net   This paper concerns maximal flows on $\mathbb{Z}^2$ traveling from a convex
set to infinity, the flows being restricted by a random capacity. For every
compact convex set $A$, we prove that the maximal flow $\Phi(nA)$ between $nA$
and infinity is such that $\Phi(nA)/n$ almost surely converges to the integral
of a deterministic function over the boundary of $A$. The limit can also be
interpreted as the optimum of a deterministic continuous max-flow problem. We
derive some properties of the infinite cluster in supercritical Bernoulli
percolation.

11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph