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q-bio.PE2025
A dichotomy law for certain classes of phylogenetic networks
Michael Fuchs, Mike Steel
Many classes of phylogenetic networks have been proposed in the literature. A feature of several of these classes is that if one restricts a network in the class to a subset of its…
q-bio.PE2025
Predicting the depth of the most recent common ancestor of a random sample of species: the impact of phylogenetic tree shape
Michael Fuchs, Mike Steel
We consider the following question: how close to the ancestral root of a phylogenetic tree is the most recent common ancestor of species randomly sampled from the tips of the t…
q-bio.PE2024
Asymptotic enumeration of normal and hybridization networks via tree decoration
Michael Fuchs, Mike Steel, Qiang Zhang
Phylogenetic networks provide a more general description of evolutionary relationships than rooted phylogenetic trees. One way to produce a phylogenetic network is to randomly plac…