Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On transience of frogs on Galton-Watson trees   We consider a random interacting particle system, known as the frog model, on
infinite Galton-Watson trees allowing offspring zero and one. The system starts
with one awake particle (frog) at the root of the tree and a random number of
sleeping particles at the other vertices. Awake frogs move according to simple
random walk on the tree and as soon as they encounter sleeping frogs, those
will wake up and move independently according to simple random walk. The frog
model is called transient, if there are almost surely only finitely many
particles returning to the root. In this paper we prove a zero-one law for
transience of the frog model and show the existence of a transient phase for
certain classes of Galton-Watson trees.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an