Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving the migration-recombination equation from a genealogical point
  of view   We consider the discrete-time migration-recombination equation, a
deterministic, nonlinear dynamical system that describes the evolution of the
genetic type distribution of a population evolving under migration and
recombination in a law of large numbers setting. We relate this dynamics
(forward in time) to a Markov chain, namely a labelled partitioning process,
backward in time. This way, we obtain a stochastic representation of the
solution of the migration-recombination equation. As a consequence, one obtains
an explicit solution of the nonlinear dynamics, simply in terms of powers of
the transition matrix of the Markov chain. Finally, we investigate the limiting
and quasi-limiting behaviour of the Markov chain, which gives immediate access
to the asymptotic behaviour of the dynamical system. We finally sketch the
analogous situation in continuous time.

16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th