4 papers
To what extent does genealogical ancestry imply genetic ancestry?
Frederick A. Matsen, Steven N. Evans
Recent statistical and computational analyses have shown that a genealogical most recent common ancestor (MRCA) may have lived in the recent past. However, coalescent-based approac…
Fourier transform inequalities for phylogenetic trees
Frederick A. Matsen
Phylogenetic invariants are not the only constraints on site-pattern frequency vectors for phylogenetic trees. A mutation matrix, by its definition, is the exponential of a matrix…
Mixed-up trees: the structure of phylogenetic mixtures
Frederick A. Matsen, Elchanan Mossel, Mike Steel
In this paper we apply new geometric and combinatorial methods to the study of phylogenetic mixtures. The focus of the geometric approach is to describe the geometry of phylogeneti…
Phylogenetic mixtures on a single tree can mimic a tree of another topology
Frederick A. Matsen, Mike Steel
Phylogenetic mixtures model the inhomogeneous molecular evolution commonly observed in data. The performance of phylogenetic reconstruction methods where the underlying data is gen…