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

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.