Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence and continuity of the flow constant in first passage
  percolation   We consider the model of i.i.d. first passage percolation on Z^d, where we
associate with the edges of the graph a family of i.i.d. random variables with
common distribution G on [0, +$\infty$] (including +$\infty$). Whereas the time
constant is associated to the study of 1-dimensional paths with minimal weight,
namely geodesics, the flow constant is associated to the study of
(d--1)-dimensional surfaces with minimal weight. In this article, we
investigate the existence of the flow constant under the only hypothesis that
G({+$\infty$}) < p c (d) (in particular without any moment assumption), the
convergence of some natural maximal flows towards this constant, and the
continuity of this constant with regard to the distribution G.

15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat