Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dynamical-system picture of a simple branching-process phase
  transition   This paper develops ideas from a previous paper described as `an appetizer
for non-linear Wiener--Hopf theory', but is completely independent of that
paper. It again considers only the simplest possible case in which the
underlying motion of the branching particles is described by a two-state Markov
chain. Key generating functions provide solutions of a simple two-dimensional
dynamical system, and the main interest is in the way in which Probability
Theory and ODE theory complement each other. ODE pictures convey rather
strikingly a simple phase transition. No knowledge of either ODE theory or
Wiener--Hopf theory is assumed.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat