Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supercritical multitype branching processes: the ancestral types of
  typical individuals   For supercritical multitype branching processes in continuous time, we
investigate the evolution of types along those lineages that survive up to some
time t. We establish almost-sure convergence theorems for both time and
population averages of ancestral types (conditioned on non-extinction), and
identify the mutation process describing the type evolution along typical
lineages. An important tool is a representation of the family tree in terms of
a suitable size-biased tree with trunk. As a by-product, this representation
allows a `conceptual proof' (in the sense of Kurtz, Lyons, Pemantle, Peres
1997) of the continuous-time version of the Kesten-Stigum theorem.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin