Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The shape theorem for the frog model   In this work we prove a shape theorem for a growing set of Simple Random
Walks (SRWs), known as frog model. The dynamics of this process is described as
follows: There are some active particles, which perform independent SRWs, and
sleeping particles, which do not move. When a sleeping particle is hit by an
active particle, it becomes active too. We prove that the set of the original
positions of all the active particles, rescaled by the elapsed time, converges
to some compact convex set. In some specific cases we are able to identify (at
least partially) this set.

0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org