Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intermittency for branching random walk in Pareto environment   We consider a branching random walk on the lattice, where the branching rates
are given by an i.i.d. Pareto random potential. We describe the process,
including a detailed shape theorem, in terms of a system of growing lilypads.
As an application we show that the branching random walk is intermittent, in
the sense that most particles are concentrated on one very small island with
large potential. Moreover, we compare the branching random walk to the
parabolic Anderson model and observe that although the two systems show
similarities, the mechanisms that control the growth are fundamentally
different.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph