Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A branching random walk among disasters   We consider a branching random walk in a random space-time environment of
disasters where each particle is killed when meeting a disaster. This extends
the model of the "random walk in a disastrous random environment" introduced by
[15]. We obtain a criterion for positive survival probability, see Theorem 1.
The proofs for the subcritical and the supercritical cases follow standard
arguments, which involve moment methods and a comparison with an embedded
branching process with i.i.d. offspring distributions. The proof of almost sure
extinction in the critical case is more difficult and uses the techniques from
[8]. We also show that, in the case of survival, the number of particles grows
exponentially fast.

33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin