Mathematically tractable models of random phylogenetic networks: an overview of some recent developments.

Abstract

Models of random phylogenetic networks have been used since the inception of the field, but the introduction and rigorous study of mathematically tractable models is a much more recent topic that has gained momentum in the last 5 years. This manuscript discusses some recent developments in the field through a selection of examples. The emphasis is on the techniques rather than on the results themselves, and on probabilistic tools rather than on combinatorial ones.This article is part of the theme issue '"A mathematical theory of evolution": phylogenetic models dating back 100 years'.