Andreas Nordvall Lagerås, Chalmers

Coalescent processes and other models for genealogical trees

abstract
I will give an introduction to the so-called coalescent processes,
which are certain Markov processes that describe the genealogy of a
population. Such models are of great use in the field of population
genetics, but a general theory for these processes has been developped
as recently as in the last decade. I will present some results about
what happens when mutations can appear in the population.

Reduced branching processes are other kinds of models for genealogies,
and I will also mention some current work on them and point to some
similarities between them and coalescent processes.