Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-dimensional lonely branching random walks die out   The lonely branching random walks on ${\mathbb Z}^d$ is an interacting
particle system where each particle moves as an independent random walk and
undergoes critical binary branching when it is alone. We show that if the
symmetrized walk is recurrent, lonely branching random walks die out locally.
Furthermore, the same result holds if additional branching is allowed when the
walk is not alone.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph