71 citations · 183 across the 34 of their papers we have counts for
4 papers · 1 filter
A representation-theoretic approach to the calculation of evolutionary distance in bacteria
Jeremy G Sumner, Peter D Jarvis, Andrew R Francis
In the context of bacteria and models of their evolution under genome rearrangement, we explore a novel application of group representation theory to the inference of evolutionary…
Developing a statistically powerful measure for quartet tree inference using phylogenetic identities and Markov invariants
Jeremy G Sumner, Amelia Taylor, Barbara R Holland +1
Recently there has been renewed interest in phylogenetic inference methods based on phylogenetic invariants, alongside the related Markov invariants. Broadly speaking, both these a…
Dimensional reduction for the general Markov model on phylogenetic trees
Jeremy G Sumner
We present a method of dimensional reduction for the general Markov model of sequence evolution on a phylogenetic tree. We show that taking certain linear combinations of the assoc…
Maximum likelihood estimates of pairwise rearrangement distances
Stuart Serdoz, Attila Egri-Nagy, Jeremy Sumner +4
Accurate estimation of evolutionary distances between taxa is important for many phylogenetic reconstruction methods. In the case of bacteria, distances can be estimated using a ra…